Paper Citation Record · LEDGER

Critical quasilinear equations on Riemannian manifolds

As of 18 August 2026, this Paper Citation Record lists 61 of 61 outbound references and 7 inbound Pith citation observations for arXiv:2502.08495.

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pith.paper-citation-record.v1
2502.08495 v2

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measured 61 of 61 reference resolution

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measured 68 of 68 standing notices

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measured 7 of 7 inbound itemization

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61 of 61 outbound references displayed

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Outbound references

Observation 8a0d19b1-ec1b-44a6-9e20-b4393a095605 · outbound

This paper cites Interior regularity results for inhomogeneous anisotropic quasili near equations.

Critical quasilinear equations on Riemannian manifolds Interior regularity results for inhomogeneous anisotropic quasili near equations

Reference 1

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Observation 26168dcf-db4b-4a7b-adb7-52bd0bf9e098 · outbound

This paper cites Probl` emes isop´ erim´ etriques et espaces de Sobolev.

Critical quasilinear equations on Riemannian manifolds Probl` emes isop´ erim´ etriques et espaces de Sobolev

Reference 2

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Observation a731be56-0497-40a1-98e4-b12f961a9e22 · outbound

This paper cites Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci c urvature.

Critical quasilinear equations on Riemannian manifolds Sharp isoperimetric and Sobolev inequalities in spaces with nonnegative Ricci c urvature

Reference 3

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Critical quasilinear equations on Riemannian manifolds Unresolved cited work

Reference 4

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Observation a7d178e6-3bc1-44ed-abb1-bd9828438b6f · outbound

This paper cites Stability an d qualitative properties of radial solutions of the Lane-Em den-Fowler equation on Riemannian models.

Critical quasilinear equations on Riemannian manifolds Stability an d qualitative properties of radial solutions of the Lane-Em den-Fowler equation on Riemannian models

Reference 5

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Observation 02deed48-19e2-483a-8f19-4f8a035aa1c7 · outbound

This paper cites Classiﬁcation of radial solutions to the Emden-Fowler equation on the hyperbolic space.

Critical quasilinear equations on Riemannian manifolds Classiﬁcation of radial solutions to the Emden-Fowler equation on the hyperbolic space

Reference 6

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Observation 0312cc7b-739e-40b1-9f7e-dd11625dad01 · outbound

This paper cites Sobolev inequalities in manifolds wi th nonnegative curvature.

Critical quasilinear equations on Riemannian manifolds Sobolev inequalities in manifolds wi th nonnegative curvature

Reference 7

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Observation a5921f50-682c-4e2d-af92-7ffc503a2e86 · outbound

This paper cites Polar factorization and monotone rea rrangement of vector-valued functions.

Critical quasilinear equations on Riemannian manifolds Polar factorization and monotone rea rrangement of vector-valued functions

Reference 8

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Observation c7dbae2a-f4a4-4a17-9c97-9123e808944b · outbound

This paper cites Uniform estimates and blow- up behavior for solutions of −∆u = V(x)eu in two dimensions.

Critical quasilinear equations on Riemannian manifolds Uniform estimates and blow- up behavior for solutions of −∆u = V(x)eu in two dimensions

Reference 9

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Observation d8b2334b-59a9-48a6-bfab-55073ba67a0f · outbound

This paper cites Asymptotic symme try and local behavior of semilinear elliptic equations wit h critical Sobolev growth.

Critical quasilinear equations on Riemannian manifolds Asymptotic symme try and local behavior of semilinear elliptic equations wit h critical Sobolev growth

Reference 10

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Observation 70b97596-2f41-4ce2-9c2f-594d1486e357 · outbound

This paper cites Liouville equations on complete surfaces with nonnegative Gauss curvature.

Critical quasilinear equations on Riemannian manifolds Liouville equations on complete surfaces with nonnegative Gauss curvature

Reference 11

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Observation f645ca1f-b082-4043-aecb-fbea33014c4f · outbound

This paper cites A liouville theorem in the Heisenberg group.

Critical quasilinear equations on Riemannian manifolds A liouville theorem in the Heisenberg group

Reference 12

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Observation 66261b9e-ab3d-4e21-8b89-50618b96bdca · outbound

This paper cites Semilinear ellipt ic equations on manifolds with nonnegative Ricci curvature.

Critical quasilinear equations on Riemannian manifolds Semilinear ellipt ic equations on manifolds with nonnegative Ricci curvature

Reference 13

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Observation 53b679a1-282c-455c-b38d-9d83e5b5cef3 · outbound

This paper cites On t he critical p-Laplace equation.

Critical quasilinear equations on Riemannian manifolds On t he critical p-Laplace equation

Reference 14

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Observation f4b4bc6f-297d-4846-b811-d8b46e18ab68 · outbound

This paper cites Liouville theorems on pseudo-Hermitian manifolds w ith nonnegative Tanaka- Webster curvature.

Critical quasilinear equations on Riemannian manifolds Liouville theorems on pseudo-Hermitian manifolds w ith nonnegative Tanaka- Webster curvature

Reference 15

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Observation e54631eb-2632-40dd-adb7-9ac638201c74 · outbound

This paper cites Classiﬁcation of solutions of some nonlinear elliptic equations.

Critical quasilinear equations on Riemannian manifolds Classiﬁcation of solutions of some nonlinear elliptic equations

Reference 16

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Observation 489cb389-3b2e-491b-ae89-00c142879b84 · outbound

This paper cites On the structure of the conf ormal Gaussian curvature equation on R2.

Critical quasilinear equations on Riemannian manifolds On the structure of the conf ormal Gaussian curvature equation on R2

Reference 17

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Observation 9a3a306b-9e12-4340-b07b-bac58d54f5ac · outbound

This paper cites Classiﬁc ation results, rigidity theorems and semilinear PDEs on Rie mannian manifolds: a P-function approach.

Critical quasilinear equations on Riemannian manifolds Classiﬁc ation results, rigidity theorems and semilinear PDEs on Rie mannian manifolds: a P-function approach

Reference 18

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Observation ab5f2328-846c-40c8-931f-e6ba8391a291 · outbound

This paper cites Symmetr y results for critical anisotropic p-Laplacian equations in convex cones.

Critical quasilinear equations on Riemannian manifolds Symmetr y results for critical anisotropic p-Laplacian equations in convex cones

Reference 19

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Observation 3f53fee1-3d2b-4dfe-9f17-8aae30fd91a6 · outbound

This paper cites A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities.

Critical quasilinear equations on Riemannian manifolds A mass-transportation approach to sharp Sobolev and Gagliardo-Nirenberg inequalities

Reference 20

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Critical quasilinear equations on Riemannian manifolds Unresolved cited work

Reference 21

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Observation cff45731-2b1e-4129-888b-2425fcaddd78 · outbound

This paper cites C1+α local regularity of weak solutions of degenerate elliptic e quations.

Critical quasilinear equations on Riemannian manifolds C1+α local regularity of weak solutions of degenerate elliptic e quations

Reference 22

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This paper cites On a conformally invariant elliptic e quation on Rn.

Critical quasilinear equations on Riemannian manifolds On a conformally invariant elliptic e quation on Rn

Reference 23

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This paper cites On the elliptic equation ∆u + Ku(n+2)/(n−2) = 0 and related topics.

Critical quasilinear equations on Riemannian manifolds On the elliptic equation ∆u + Ku(n+2)/(n−2) = 0 and related topics

Reference 24

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Observation ef562d2b-2520-4a4a-a605-73c9d71ba611 · outbound

This paper cites The AB program in geometric analysis: sharp Sobolev inequalities and related problems.

Critical quasilinear equations on Riemannian manifolds The AB program in geometric analysis: sharp Sobolev inequalities and related problems

Reference 25

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Observation 1e508e2c-4309-43a8-b7c6-d5289e0db564 · outbound

This paper cites A classiﬁcation result for the quas i-linear Liouville equation.

Critical quasilinear equations on Riemannian manifolds A classiﬁcation result for the quas i-linear Liouville equation

Reference 26

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Observation 51e3cb89-16b3-42e7-a71f-06dc364701c3 · outbound

This paper cites A not e on the critical Laplace equation and Ricci curvature.

Critical quasilinear equations on Riemannian manifolds A not e on the critical Laplace equation and Ricci curvature

Reference 27

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Observation d63fd1ca-c49b-484d-8612-76369551b4f2 · outbound

This paper cites Corr ection: A note on the critical Laplace equation and Ricci cur vature.

Critical quasilinear equations on Riemannian manifolds Corr ection: A note on the critical Laplace equation and Ricci cur vature

Reference 28

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Observation 06186160-bb79-44d6-b3a2-a4a73cf0e7e9 · outbound

This paper cites Some problems in the theory of qua silinear equations.

Critical quasilinear equations on Riemannian manifolds Some problems in the theory of qua silinear equations

Reference 29

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This paper cites Global and local behavior o f positive solutions of nonlinear elliptic equations.

Critical quasilinear equations on Riemannian manifolds Global and local behavior o f positive solutions of nonlinear elliptic equations

Reference 30

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Observation 904207a2-ed50-40c4-8f5b-92700ab3899c · outbound

This paper cites Optimal Liouville theo rems for the Lane-Emden equation on Riemannian manifolds.

Critical quasilinear equations on Riemannian manifolds Optimal Liouville theo rems for the Lane-Emden equation on Riemannian manifolds

Reference 31

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Observation b3a306b5-5e57-4977-9490-182e022ac72e · outbound

This paper cites Gradient estimate for s olutions of the equation ∆pv + avq = 0 on a complete Riemannian manifold.

Critical quasilinear equations on Riemannian manifolds Gradient estimate for s olutions of the equation ∆pv + avq = 0 on a complete Riemannian manifold

Reference 32

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Observation 2ef46d23-ccff-47f4-ad7a-a9b256c7c547 · outbound

This paper cites Subharmonic functions on real and compl ex manifolds.

Critical quasilinear equations on Riemannian manifolds Subharmonic functions on real and compl ex manifolds

Reference 33

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Observation 8d89ab0c-d535-4799-8a00-cbff32112d39 · outbound

This paper cites Sharp Sobolev inequalities on non compact Riemannian manifolds with Ric ≥ 0 via optimal transport theory.

Critical quasilinear equations on Riemannian manifolds Sharp Sobolev inequalities on non compact Riemannian manifolds with Ric ≥ 0 via optimal transport theory

Reference 34

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This paper cites On manifolds with non-negative Ricci curvature and Sobolev inequalities.

Critical quasilinear equations on Riemannian manifolds On manifolds with non-negative Ricci curvature and Sobolev inequalities

Reference 35

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Observation 420479ec-c629-4278-88ec-b8204c414a19 · outbound

This paper cites The Yamabe problem.

Critical quasilinear equations on Riemannian manifolds The Yamabe problem

Reference 36

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Observation 03e98782-b5f0-4b1c-9523-8269f44899aa · outbound

This paper cites On some conformally invariant fu lly nonlinear equations.

Critical quasilinear equations on Riemannian manifolds On some conformally invariant fu lly nonlinear equations

Reference 37

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Observation 7dfc5c88-2a94-41ca-bd62-7085e3434a05 · outbound

This paper cites Extremal functions for the Moser-Truding er inequalities on compact Riemannian manifolds.

Critical quasilinear equations on Riemannian manifolds Extremal functions for the Moser-Truding er inequalities on compact Riemannian manifolds

Reference 38

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Observation 97866e16-291e-4706-b68d-74c1edf730ba · outbound

This paper cites Liouville type theorem for a cla ss quasilinear p-Laplace type equation on the sphere.

Critical quasilinear equations on Riemannian manifolds Liouville type theorem for a cla ss quasilinear p-Laplace type equation on the sphere

Reference 39

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Observation 94baa73b-a371-4e9f-ba80-95c187803c7a · outbound

This paper cites On n-superharmonic functions and some geometric applications.

Critical quasilinear equations on Riemannian manifolds On n-superharmonic functions and some geometric applications

Reference 40

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Observation e620faf1-818b-46ef-924e-98502d4b63ab · outbound

This paper cites A Liouville theorem for a class se milinear elliptic equations on the Heisenberg group.

Critical quasilinear equations on Riemannian manifolds A Liouville theorem for a class se milinear elliptic equations on the Heisenberg group

Reference 41

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:06:49.801877Z

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Observation c7564a44-2d45-49ff-8bef-0afcafea1b2b · outbound

This paper cites Some rigidity results fo r Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds.

Critical quasilinear equations on Riemannian manifolds Some rigidity results fo r Sobolev inequalities and related PDEs on Cartan-Hadamard manifolds

Reference 42

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Observation e98775f1-0f4e-4b10-a25f-8516099f95a6 · outbound

This paper cites Fine P´ olya-Szeg˝ o rearrangement inequalities in metric spaces and applications.

Critical quasilinear equations on Riemannian manifolds Fine P´ olya-Szeg˝ o rearrangement inequalities in metric spaces and applications

Reference 43

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Observation b24a7265-ab6d-48a4-85a8-9df0491ff668 · outbound

This paper cites On the classiﬁcation of entire solutions t o the critical p-Laplace equation.

Critical quasilinear equations on Riemannian manifolds On the classiﬁcation of entire solutions t o the critical p-Laplace equation

Reference 44

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Observation cc937968-1b07-4155-8666-f6a060c9d613 · outbound

This paper cites Optimal Liouville theorems for sup erlinear parabolic problems.

Critical quasilinear equations on Riemannian manifolds Optimal Liouville theorems for sup erlinear parabolic problems

Reference 45

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:06:49.753045Z

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Observation 2cdc42fb-3288-44f2-a8f5-590f66553254 · outbound

This paper cites Uniformly elliptic operators on Riemanni an manifolds.

Critical quasilinear equations on Riemannian manifolds Uniformly elliptic operators on Riemanni an manifolds

Reference 46

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:06:49.741160Z

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Observation 1bdad416-befe-4c7e-ab70-99c0d71268dc · outbound

This paper cites Classiﬁcation of positive D1,p(RN )-solutions to the critical p-Laplace equation in RN.

Critical quasilinear equations on Riemannian manifolds Classiﬁcation of positive D1,p(RN )-solutions to the critical p-Laplace equation in RN

Reference 47

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:06:49.728621Z

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Observation 73e703a3-e25d-4ece-9659-8dd5394752a7 · outbound

This paper cites Cauchy-Liouville and univer sal boundedness theorems for quasilinear elliptic equatio ns and inequalities.

Critical quasilinear equations on Riemannian manifolds Cauchy-Liouville and univer sal boundedness theorems for quasilinear elliptic equatio ns and inequalities

Reference 48

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Observation b9be4fca-36a3-4e8f-bc2b-1103eeb58c45 · outbound

This paper cites Best constant in Sobolev inequality.

Critical quasilinear equations on Riemannian manifolds Best constant in Sobolev inequality

Reference 49

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:06:49.703659Z

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Observation f5dc9566-2d65-486f-bf8f-4d9eac92dd32 · outbound

This paper cites Complete Riemannian manifolds and s ome vector ﬁelds.

Critical quasilinear equations on Riemannian manifolds Complete Riemannian manifolds and s ome vector ﬁelds

Reference 50

Resolution: verified fuzzy; raw_fallback, observed 2026-08-08T05:06:49.691271Z

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Observation adfdbc72-d06f-4803-9a45-89db85cdbe5f · outbound

This paper cites Regularity for a more general clas s of quasilinear elliptic equations.

Critical quasilinear equations on Riemannian manifolds Regularity for a more general clas s of quasilinear elliptic equations

Reference 51

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This paper cites Regularity for a class of non-line ar elliptic systems.

Critical quasilinear equations on Riemannian manifolds Regularity for a class of non-line ar elliptic systems

Reference 52

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This paper cites A priori estimates and application t o the symmetry of solutions for critical p-Laplace equations.

Critical quasilinear equations on Riemannian manifolds A priori estimates and application t o the symmetry of solutions for critical p-Laplace equations

Reference 53

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This paper cites A note on the classiﬁcation of positi ve solutions to the critical p-Laplace equation in Rn.

Critical quasilinear equations on Riemannian manifolds A note on the classiﬁcation of positi ve solutions to the critical p-Laplace equation in Rn

Reference 54

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This paper cites On the nonexistence of positive solution to ∆u + aup+1 = 0 on Riemannian manifolds.

Critical quasilinear equations on Riemannian manifolds On the nonexistence of positive solution to ∆u + aup+1 = 0 on Riemannian manifolds

Reference 55

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Critical quasilinear equations on Riemannian manifolds Harmonic maps from noncompact Rieman nian manifolds with non-negative Ricci curvature outside a compact set

Reference 56

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Critical quasilinear equations on Riemannian manifolds Y amabe equation on some complete noncomp act manifolds

Reference 57

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Critical quasilinear equations on Riemannian manifolds Classiﬁcation of solutions of hig her order conformally invariant equations

Reference 58

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Critical quasilinear equations on Riemannian manifolds The Gagliardo-Nirenberg inequalities a nd manifolds of non-negative Ricci curvature

Reference 59

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Critical quasilinear equations on Riemannian manifolds Uniqueness and non-existence theorems fo r conformally invariant equations

Reference 60

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Critical quasilinear equations on Riemannian manifolds Harmonic functions on complete Rieman nian manifolds

Reference 61

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Pith citing papers

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Liouville theorems for anisotropic $p$-Laplace equations with a semilinear term cites this paper.

Liouville theorems for anisotropic $p$-Laplace equations with a semilinear term Critical quasilinear equations on Riemannian manifolds

Reference 24

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Liouville theorem of the subcritical biharmonic equation on complete manifolds Critical quasilinear equations on Riemannian manifolds

Reference 26

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Classification results for bounded positive solutions to the critical $p$-Laplace equation Critical quasilinear equations on Riemannian manifolds

Reference 24

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On the anisotropic critical $p$-Laplace equation: classification, decomposition, and stability results cites this paper.

On the anisotropic critical $p$-Laplace equation: classification, decomposition, and stability results Critical quasilinear equations on Riemannian manifolds

Reference 41

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Classification results of Liouville equations and rigidity of Riemannian surfaces Critical quasilinear equations on Riemannian manifolds

Reference 13

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Classification of solutions to the singular Liouville's equation associated with the $N$ Finsler Laplacian cites this paper.

Classification of solutions to the singular Liouville's equation associated with the $N$ Finsler Laplacian Critical quasilinear equations on Riemannian manifolds

Reference 48

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Optimal Rigidity Results for the $k$-Hessian Equation of Lane--Emden Type cites this paper.

Optimal Rigidity Results for the $k$-Hessian Equation of Lane--Emden Type Critical quasilinear equations on Riemannian manifolds

Reference 66

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