Paper Citation Record · LEDGER

Korn's inequality from the viewpoint of calculus of variations

As of 14 August 2026, this Paper Citation Record lists 77 of 77 outbound references and 2 inbound Pith citation observations for arXiv:2603.22431.

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pith.paper-citation-record.v1
2603.22431 v3

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measured 77 of 77 reference resolution

Typed states for the displayed outbound observations.

Source: paper_references, paper_reference_links, observed 2026-08-04T05:55:50.098608Z

measured 79 of 79 standing notices

One-hop event checks from named stored sources.

Source: scholarly_work_events, retraction_status_cache, observed 2026-08-14T06:32:32.682623+00:00

measured 2 of 2 inbound itemization

Pith citing papers itemized under the disclosed page cap.

Source: paper_references, paper_reference_links, observed 2026-08-10T16:26:25.216895Z

measured 0 of 1 external citation measurements

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Source: pith, observed 2026-08-05T18:23:04.973053Z

Reference resolution

77 of 77 outbound references displayed

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External citation measurements

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Outbound references

Observation f1d58400-2bb8-4542-8a3b-0fd93b35dc78 · outbound

This paper cites Regularity Results for Stationary Electro-Rheological Fluids.

Korn's inequality from the viewpoint of calculus of variations Regularity Results for Stationary Electro-Rheological Fluids

Reference 1

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Observation 94faab7a-28c9-4877-aff3-cf28d0bff7be · outbound

This paper cites On Saint Venant’s compat- ibility conditions and Poincaré’s lemma.

Korn's inequality from the viewpoint of calculus of variations On Saint Venant’s compat- ibility conditions and Poincaré’s lemma

Reference 2

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Observation 42fbba1c-a11b-4e9c-977d-4e47a4630f91 · outbound

This paper cites The local Burkholder functional, quasiconvexity and Geometric Function Theory.

Korn's inequality from the viewpoint of calculus of variations The local Burkholder functional, quasiconvexity and Geometric Function Theory

Reference 3

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Observation e30bc54c-a88d-47e6-b17e-5acc0adb030d · outbound

This paper cites Lower semicontinuity, Stoilow factorization and principal maps.

Korn's inequality from the viewpoint of calculus of variations Lower semicontinuity, Stoilow factorization and principal maps

Reference 4

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Observation 878b171d-e70d-4f13-9586-e6d0d6aa3f52 · outbound

This paper cites A hunt for sharpLp-estimates and rank-one convex variational integrals.

Korn's inequality from the viewpoint of calculus of variations A hunt for sharpLp-estimates and rank-one convex variational integrals

Reference 5

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Observation 74d5a0cc-edbf-4d3a-93ce-b3c6e2514f32 · outbound

This paper cites Optimal Range of Haar Martingale Transforms and Its Applications.

Korn's inequality from the viewpoint of calculus of variations Optimal Range of Haar Martingale Transforms and Its Applications

Reference 6

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Observation 25e6daba-e13d-464d-b874-e3a38028eb24 · outbound

This paper cites Some conjectures about integral means of ∂fand ¯∂f.

Korn's inequality from the viewpoint of calculus of variations Some conjectures about integral means of ∂fand ¯∂f

Reference 7

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Observation 30885fa7-dce4-49ca-8ca1-f2bfd921f77b · outbound

This paper cites Sets of gradients with no rank-one connections.

Korn's inequality from the viewpoint of calculus of variations Sets of gradients with no rank-one connections

Reference 8

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Observation 9bf3af1c-23f3-4c74-94db-c4aa95e23a81 · outbound

This paper cites The foundational inequalities of D. L. Burkholder and some of their ramifications.

Korn's inequality from the viewpoint of calculus of variations The foundational inequalities of D. L. Burkholder and some of their ramifications

Reference 9

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Observation 9ffd11da-728c-4e03-87a7-5cb8d78ca361 · outbound

This paper cites Martingale transforms and their projection operators on manifolds.

Korn's inequality from the viewpoint of calculus of variations Martingale transforms and their projection operators on manifolds

Reference 10

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Observation 33b6d079-45ac-4c7e-891a-e755653a18d0 · outbound

This paper cites Lp bounds for the Beurling–Ahlfors transform.

Korn's inequality from the viewpoint of calculus of variations Lp bounds for the Beurling–Ahlfors transform

Reference 11

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Observation 78d0473a-5953-4401-8d1b-800ce545d884 · outbound

This paper cites Martingales and sharp bounds for Fourier multipli- ers.

Korn's inequality from the viewpoint of calculus of variations Martingales and sharp bounds for Fourier multipli- ers

Reference 12

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Observation cad8e6d8-9ef6-4267-9f61-d4a29c924750 · outbound

This paper cites SharpinequalitiesfortheBeurling–Ahlforstransform on radial functions.

Korn's inequality from the viewpoint of calculus of variations SharpinequalitiesfortheBeurling–Ahlforstransform on radial functions

Reference 13

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Observation 8614b85d-a46f-4fad-8631-3c5010804c7b · outbound

This paper cites Weighted square function estimates.

Korn's inequality from the viewpoint of calculus of variations Weighted square function estimates

Reference 14

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Observation 166ce954-f517-4fc1-81d9-7769b0548f86 · outbound

This paper cites Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms.

Korn's inequality from the viewpoint of calculus of variations Sharp inequalities for martingales with applications to the Beurling-Ahlfors and Riesz transforms

Reference 15

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Observation d845ee26-e3b4-409b-a96c-c8c048aa34ea · outbound

This paper cites Subordination by conformal mar- tingales inL p and zeros of Laguerre polynomials.

Korn's inequality from the viewpoint of calculus of variations Subordination by conformal mar- tingales inL p and zeros of Laguerre polynomials

Reference 16

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Observation 76a9cede-e845-438d-9b23-3ba6c5454502 · outbound

This paper cites Sharp Lower bound estimates for vector-valued and matrix-valued multipliers in $L^p$.

Korn's inequality from the viewpoint of calculus of variations Sharp Lower bound estimates for vector-valued and matrix-valued multipliers in $L^p$

Reference 17

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Observation 1ffc8389-0174-4c2b-a125-eff599047c52 · outbound

This paper cites Boucheron, G.

Korn's inequality from the viewpoint of calculus of variations Boucheron, G

Reference 18

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Observation 17904459-33c8-49fc-9b8b-79d6a9d5c914 · outbound

This paper cites Trace-Free Korn Inequalities in Orlicz Spaces.

Korn's inequality from the viewpoint of calculus of variations Trace-Free Korn Inequalities in Orlicz Spaces

Reference 19

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Observation b5317c64-03f8-40c0-8b27-b25b8f9c44aa · outbound

This paper cites Sharp Conditions for Korn Inequalities in Orlicz Spaces.

Korn's inequality from the viewpoint of calculus of variations Sharp Conditions for Korn Inequalities in Orlicz Spaces

Reference 20

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Observation 936ade11-e1d1-4871-a187-83873f5686ee · outbound

This paper cites Sharp inequalities for martingales and stochastic integrals.

Korn's inequality from the viewpoint of calculus of variations Sharp inequalities for martingales and stochastic integrals

Reference 21

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Observation 918844aa-de5d-4f4c-9156-d19ff575e09d · outbound

This paper cites Spaces betweenL 1 andL ∞ and the theorem of Marcinkiewicz.

Korn's inequality from the viewpoint of calculus of variations Spaces betweenL 1 andL ∞ and the theorem of Marcinkiewicz

Reference 22

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Observation b83516be-42be-4311-b254-1c8ed08b245a · outbound

This paper cites Martingales, laminates and minimal Korn inequalities.

Korn's inequality from the viewpoint of calculus of variations Martingales, laminates and minimal Korn inequalities

Reference 23

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Observation 7014aca8-80bd-45c3-b383-83e7cff975b7 · outbound

This paper cites A Riemannian version of Korn’s inequality.

Korn's inequality from the viewpoint of calculus of variations A Riemannian version of Korn’s inequality

Reference 24

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Observation 8f83e2ab-9e01-4414-a56d-a36b7335c7de · outbound

This paper cites Dacorogna,Direct methods in the Calculus of Variations(Applied Mathematical Sciences, 78).

Korn's inequality from the viewpoint of calculus of variations Dacorogna,Direct methods in the Calculus of Variations(Applied Mathematical Sciences, 78)

Reference 25

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Observation 8203c97b-830e-4d49-b561-b8c91d89cb9b · outbound

This paper cites Dellacherie and P.-A.

Korn's inequality from the viewpoint of calculus of variations Dellacherie and P.-A

Reference 26

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Observation 4371fb71-707f-4700-8f3a-a96725de577a · outbound

This paper cites Korn and Poincaré–Korn inequalities: a different perspective.

Korn's inequality from the viewpoint of calculus of variations Korn and Poincaré–Korn inequalities: a different perspective

Reference 27

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Observation f58f95c9-07f0-40cb-8c3a-36c343a56e21 · outbound

This paper cites Continuous sparse domination and di- mensionless weighted estimates for the Bakry–Riesz vector.

Korn's inequality from the viewpoint of calculus of variations Continuous sparse domination and di- mensionless weighted estimates for the Bakry–Riesz vector

Reference 28

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Observation 9f3b5166-dac9-4dd3-a37c-6df43126ae58 · outbound

This paper cites A complex from linear elasticity.

Korn's inequality from the viewpoint of calculus of variations A complex from linear elasticity

Reference 29

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Observation c8178761-54cd-494f-8bae-0e3d646a855b · outbound

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Korn's inequality from the viewpoint of calculus of variations Unresolved cited work

Reference 30

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Observation 88d26970-122f-4e5b-a964-f055016d074c · outbound

This paper cites Tartar’s conjecture and localization of the quasi- convex hull inR2×2.

Korn's inequality from the viewpoint of calculus of variations Tartar’s conjecture and localization of the quasi- convex hull inR2×2

Reference 31

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Observation 240d6c16-4530-4f35-97a1-e439b2dba883 · outbound

This paper cites The theory of weights and the Dirichlet problem for elliptic equations.

Korn's inequality from the viewpoint of calculus of variations The theory of weights and the Dirichlet problem for elliptic equations

Reference 32

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Observation 97d2d990-ecaa-455c-bac1-66666efbb0ba · outbound

This paper cites From Microstructure-Independent Formulas for Composite Materi- als to Rank-One Convex, Non-quasiconvex Functions.

Korn's inequality from the viewpoint of calculus of variations From Microstructure-Independent Formulas for Composite Materi- als to Rank-One Convex, Non-quasiconvex Functions

Reference 33

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Observation f0b76dd4-0bfe-4e20-8ebe-b49aca222373 · outbound

This paper cites Extremal rank-one convex integrands and a conjecture of Šverák.

Korn's inequality from the viewpoint of calculus of variations Extremal rank-one convex integrands and a conjecture of Šverák

Reference 34

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Observation f7d21243-6be2-405b-b60e-89df3d44479e · outbound

This paper cites Automatic Quasiconvexity of Homogeneous Isotropic Rank-One Convex Integrands.

Korn's inequality from the viewpoint of calculus of variations Automatic Quasiconvexity of Homogeneous Isotropic Rank-One Convex Integrands

Reference 35

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Observation 90c52de7-4316-4f0d-915f-06e235a994ef · outbound

This paper cites Two-by-two upper triangular matrices and Morrey’s conjecture.

Korn's inequality from the viewpoint of calculus of variations Two-by-two upper triangular matrices and Morrey’s conjecture

Reference 36

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Observation 714c2875-4779-40f1-92dd-9448f0e375f3 · outbound

This paper cites Korn’s inequalities and their applications in continuum mechanics.

Korn's inequality from the viewpoint of calculus of variations Korn’s inequalities and their applications in continuum mechanics

Reference 37

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Observation 2b49bf77-977a-4d06-9751-8a11c730bfac · outbound

This paper cites Hytönen, J.

Korn's inequality from the viewpoint of calculus of variations Hytönen, J

Reference 38

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Observation 39db0ffa-3687-4ae0-95aa-0f711b716e99 · outbound

This paper cites On the norm of the Beurling–Ahlfors operator in several dimensions.

Korn's inequality from the viewpoint of calculus of variations On the norm of the Beurling–Ahlfors operator in several dimensions

Reference 39

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Observation cd815f81-9ac2-44d3-a0a1-68b15f06852b · outbound

This paper cites The sharp weighted bound for general Calderón–Zygmund opera- tors.

Korn's inequality from the viewpoint of calculus of variations The sharp weighted bound for general Calderón–Zygmund opera- tors

Reference 40

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Observation 3bd6f433-7632-4455-83f4-72e01215656c · outbound

This paper cites Inequality for Burkholder’s martingale transform.

Korn's inequality from the viewpoint of calculus of variations Inequality for Burkholder’s martingale transform

Reference 41

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Observation 9ef1c4ee-3daf-4de5-8723-89605c42008f · outbound

This paper cites Extremal inequalities in Sobolev spaces and quasiconformal mappings.

Korn's inequality from the viewpoint of calculus of variations Extremal inequalities in Sobolev spaces and quasiconformal mappings

Reference 42

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Observation 6c061791-bdd8-4ac3-9c86-1e471367a24f · outbound

This paper cites OnL p-integrability in PDE’s and quasiregular mappings for large expo- nents.

Korn's inequality from the viewpoint of calculus of variations OnL p-integrability in PDE’s and quasiregular mappings for large expo- nents

Reference 43

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Observation dcffe212-8e86-46d5-bb5f-a5df4dec5fe6 · outbound

This paper cites Nonlinear Cauchy-Riemann operators inRn.

Korn's inequality from the viewpoint of calculus of variations Nonlinear Cauchy-Riemann operators inRn

Reference 44

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Observation 16d3f7ce-8ea3-48fa-90eb-2fe3ff2ceb52 · outbound

This paper cites Riesz transforms and related singular integrals.

Korn's inequality from the viewpoint of calculus of variations Riesz transforms and related singular integrals

Reference 45

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Observation 80a929f5-d6d2-43e5-95ba-7e7c1880ed48 · outbound

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Korn's inequality from the viewpoint of calculus of variations Korn’s inequality and John domains

Reference 46

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Observation 00d3af10-e100-4ffd-82f7-95c884a7fe73 · outbound

This paper cites Karatzas and S.

Korn's inequality from the viewpoint of calculus of variations Karatzas and S

Reference 47

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Observation 2caaecdc-a58e-409b-aba1-0ecfefecb95d · outbound

This paper cites On the interpolation constant for Orlicz spaces.

Korn's inequality from the viewpoint of calculus of variations On the interpolation constant for Orlicz spaces

Reference 48

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Observation 30325c51-b28a-46a2-9b46-d4fd476575e9 · outbound

This paper cites Weighted Sobolev spaces and capacity.

Korn's inequality from the viewpoint of calculus of variations Weighted Sobolev spaces and capacity

Reference 49

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Observation be76a758-fb35-4bba-90c5-248ca6924d18 · outbound

This paper cites Characterizations of Young measures generated by gradients.

Korn's inequality from the viewpoint of calculus of variations Characterizations of Young measures generated by gradients

Reference 50

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Observation 1449cf8d-253f-4e7b-83c7-413c80bbc6c2 · outbound

This paper cites Onrank-oneconvexfunctionsthatarehomogeneous of degree one.

Korn's inequality from the viewpoint of calculus of variations Onrank-oneconvexfunctionsthatarehomogeneous of degree one

Reference 51

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Observation 15361928-9d56-4044-bb6f-4d40862c1190 · outbound

This paper cites Solution générale du problème d’équilibre dans la théorie de l’élasticité.

Korn's inequality from the viewpoint of calculus of variations Solution générale du problème d’équilibre dans la théorie de l’élasticité

Reference 52

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Observation 02e7d883-4f13-41a1-86fc-71d91346bf41 · outbound

This paper cites Ueber einige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen.

Korn's inequality from the viewpoint of calculus of variations Ueber einige Ungleichungen, welche in der Theorie der elastischen und elektrischen Schwingungen eine Rolle spielen

Reference 53

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Observation 6235a4da-69d7-48ef-95e7-8961b03439cc · outbound

This paper cites On the non-locality of quasiconvexity.

Korn's inequality from the viewpoint of calculus of variations On the non-locality of quasiconvexity

Reference 54

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Observation fab2ea12-6c14-46f5-9385-0229db16ac75 · outbound

This paper cites Justification of the Dirichlet principle for the first boundary value problem of the nonlinear theory of elasticity.

Korn's inequality from the viewpoint of calculus of variations Justification of the Dirichlet principle for the first boundary value problem of the nonlinear theory of elasticity

Reference 55

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Observation f4b499b0-9104-49a7-b3af-b496026105e9 · outbound

This paper cites Algebras of differentiable functions.

Korn's inequality from the viewpoint of calculus of variations Algebras of differentiable functions

Reference 56

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Observation d55b5d48-61a4-49b3-9c09-c7066a3608de · outbound

This paper cites Remarks on the integrability of the derivatives of quasiconformal map- pings.

Korn's inequality from the viewpoint of calculus of variations Remarks on the integrability of the derivatives of quasiconformal map- pings

Reference 57

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Observation c3a8ee0f-a568-47a9-a5cd-b3555c24dcb7 · outbound

This paper cites On the optimal constants in Korn’s and geometric rigid- ity estimates, in bounded and unbounded domains, under Neumann boundary con- ditions.

Korn's inequality from the viewpoint of calculus of variations On the optimal constants in Korn’s and geometric rigid- ity estimates, in bounded and unbounded domains, under Neumann boundary con- ditions

Reference 58

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Observation b24f5561-5f86-498e-a6bc-f2686b8261bc · outbound

This paper cites Weighted Littlewood–Paley inequalities for heat flows in RCD spaces.

Korn's inequality from the viewpoint of calculus of variations Weighted Littlewood–Paley inequalities for heat flows in RCD spaces

Reference 59

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Observation a1eb25e0-a75f-4e45-84fb-3c8f8e113644 · outbound

This paper cites Lindenstrauss and L.

Korn's inequality from the viewpoint of calculus of variations Lindenstrauss and L

Reference 60

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Observation 416b24ec-8a6c-47e3-80d5-4b5efc9b7f82 · outbound

This paper cites Variational models for microstructure and phase transitions.

Korn's inequality from the viewpoint of calculus of variations Variational models for microstructure and phase transitions

Reference 61

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Observation 5194b098-35dd-4d27-b636-87a43801a8fc · outbound

This paper cites Rank-one Convexity Implies Quasiconvexity on Diagonal Matrices.

Korn's inequality from the viewpoint of calculus of variations Rank-one Convexity Implies Quasiconvexity on Diagonal Matrices

Reference 62

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Observation 80a54b13-e3e9-4ee6-93a9-8e8e40b9f3ed · outbound

This paper cites A non-inequality for differential operators in theL1 norm.

Korn's inequality from the viewpoint of calculus of variations A non-inequality for differential operators in theL1 norm

Reference 63

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Observation a2fc71fb-b7a4-4062-8185-556d5809c55a · outbound

This paper cites Inequalities for dominated martingales.

Korn's inequality from the viewpoint of calculus of variations Inequalities for dominated martingales

Reference 64

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Observation 5c1fd09b-195b-45fd-8568-4f0d8b913503 · outbound

This paper cites Osękowski,Sharp Martingale and Semimartingale inequalities(IMPAN Monogr.

Korn's inequality from the viewpoint of calculus of variations Osękowski,Sharp Martingale and Semimartingale inequalities(IMPAN Monogr

Reference 65

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Observation d1bbc4bd-52ce-4f43-b51b-fe3cab342f84 · outbound

This paper cites On Korn’s inequality.

Korn's inequality from the viewpoint of calculus of variations On Korn’s inequality

Reference 66

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Observation 7c21bde2-dd24-4d38-98c4-6d113e615fe5 · outbound

This paper cites Laminates and microstructure.

Korn's inequality from the viewpoint of calculus of variations Laminates and microstructure

Reference 67

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Observation 06136285-bcee-49f4-8da6-6dfaaa1c61fe · outbound

This paper cites Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular.

Korn's inequality from the viewpoint of calculus of variations Heating of the Ahlfors-Beurling operator: weakly quasiregular maps on the plane are quasiregular

Reference 68

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Observation c37dc753-42e1-4286-a2a0-89bdc8490060 · outbound

This paper cites Revuz and M.

Korn's inequality from the viewpoint of calculus of variations Revuz and M

Reference 69

Resolution: unresolved; no resolver link, observed 2026-08-04T05:55:49.725401Z

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Observation 059ad909-427d-49fb-b4c7-812a47d57298 · outbound

This paper cites Rindler,Calculus of Variations(Universitext).

Korn's inequality from the viewpoint of calculus of variations Rindler,Calculus of Variations(Universitext)

Reference 70

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Observation ddca7750-97f5-46b1-ba68-8033ce7ba2e4 · outbound

This paper cites Implications of rank one convexity.

Korn's inequality from the viewpoint of calculus of variations Implications of rank one convexity

Reference 71

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Observation 33b3a984-3b5a-4506-98ce-f3fcc62dfa3c · outbound

This paper cites On Korn’s first inequality in a Hardy–Sobolev space.

Korn's inequality from the viewpoint of calculus of variations On Korn’s first inequality in a Hardy–Sobolev space

Reference 72

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Observation 728131fc-bf8d-4273-9cf3-849e39f9fba3 · outbound

This paper cites an unresolved cited work.

Korn's inequality from the viewpoint of calculus of variations Unresolved cited work

Reference 73

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Observation 9067915c-7ecd-4137-9a03-fcc7b7b5d652 · outbound

This paper cites TheL p-norms of the Beurling-Ahlfors transform on radial functions.

Korn's inequality from the viewpoint of calculus of variations TheL p-norms of the Beurling-Ahlfors transform on radial functions

Reference 74

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Observation 215eeb24-870d-4d5f-9065-77627f49cd1d · outbound

This paper cites Rank-one convexity does not imply quasiconvexity.

Korn's inequality from the viewpoint of calculus of variations Rank-one convexity does not imply quasiconvexity

Reference 75

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Observation 8207b385-349d-4059-a42a-e40407d63fe0 · outbound

This paper cites Burkholder’s function via Monge–Ampère equation.

Korn's inequality from the viewpoint of calculus of variations Burkholder’s function via Monge–Ampère equation

Reference 76

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Observation 91ad329f-0baa-4e5f-b502-f4f456992ed0 · outbound

This paper cites Vasyunin and A.

Korn's inequality from the viewpoint of calculus of variations Vasyunin and A

Reference 77

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Pith citing papers

Observation 5eb4acd3-bcc5-45c5-8f4a-d575b4daec77 · inbound

A solution to Morrey's problem in $\mathbb{R}^{2\times m}$ cites this paper.

A solution to Morrey's problem in $\mathbb{R}^{2\times m}$ Korn's inequality from the viewpoint of calculus of variations

Reference 17

Resolution: verified exact; local_arxiv, observed 2026-08-05T18:23:05.109048Z

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Observation 5d7acd9e-7db0-4fc4-9773-7fd02b054aec · inbound

A short note on Meyers' theorem cites this paper.

A short note on Meyers' theorem Korn's inequality from the viewpoint of calculus of variations

Reference 3

Resolution: unresolved; no resolver link, observed 2026-08-10T16:26:25.216895Z

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