Paper Citation Record · LEDGER

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation

As of 8 August 2026, this Paper Citation Record lists 42 of 42 outbound references and 0 inbound Pith citation observations for arXiv:2607.04657.

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2607.04657 v1

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measured 42 of 42 reference resolution

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Outbound references

Observation 8af92cca-bda8-424b-9a63-ae63d94a94b7 · outbound

This paper cites Determining a R iemannian metric from minimal areas.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Determining a R iemannian metric from minimal areas

Reference 1

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Observation e786ebf1-d4ef-4bac-9bc6-c2f88f809297 · outbound

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Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Unresolved cited work

Reference 2

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Observation c73dfce7-3edb-439e-bc17-5d389edb955d · outbound

This paper cites Elliptic partial differential equations and quasiconformal mappings in the plane , volume 48 of Princeton Mathematical Series.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Elliptic partial differential equations and quasiconformal mappings in the plane , volume 48 of Princeton Mathematical Series

Reference 3

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Observation ac4f2d16-6829-4ed8-b9ec-7946c3be8b2e · outbound

This paper cites Direct and inverse problems for the nonlinear time-harmonic M axwell equations in K err-type media.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Direct and inverse problems for the nonlinear time-harmonic M axwell equations in K err-type media

Reference 4

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Observation 162d33fc-e624-4d2a-a69b-46a78afb550b · outbound

This paper cites C\^arstea, Ali Feizmohammadi, Yavar Kian, Katya Krupchyk, and Gunther Uhlmann.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation C\^arstea, Ali Feizmohammadi, Yavar Kian, Katya Krupchyk, and Gunther Uhlmann

Reference 5

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Observation a156fb95-f88a-4a57-8d42-9796300f39f8 · outbound

This paper cites An inverse source problem for the Monge--Ampere equation from large boundary data.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse source problem for the Monge--Ampere equation from large boundary data

Reference 6

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Observation 2a68938a-af99-485a-94b0-995da4b906e2 · outbound

This paper cites C\^arstea, Matti Lassas, Tony Liimatainen, and Lauri Oksanen.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation C\^arstea, Matti Lassas, Tony Liimatainen, and Lauri Oksanen

Reference 7

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Observation 5eff3e8f-0c08-4af6-9dcb-a0e345930b14 · outbound

This paper cites An inverse problem for general minimal surfaces.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse problem for general minimal surfaces

Reference 8

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Observation b1945935-55af-4294-91fb-c2522838a554 · outbound

This paper cites The Calder\'on problem on Riemannian surfaces and of minimal surfaces.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation The Calder\'on problem on Riemannian surfaces and of minimal surfaces

Reference 9

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Observation 6136bd28-048a-4573-9202-b445608cfe06 · outbound

This paper cites Reconstruction for the coefficients of a quasilinear elliptic partial differential equation.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Reconstruction for the coefficients of a quasilinear elliptic partial differential equation

Reference 10

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Observation d175b7ce-13fa-4f9f-b51e-d404222398cc · outbound

This paper cites The M onge- A mp\`ere equation and its applications.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation The M onge- A mp\`ere equation and its applications

Reference 11

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Observation df0d7d58-7a32-45d5-9839-02c967c33abb · outbound

This paper cites An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse problem for a semilinear elliptic equation on conformally transversally anisotropic manifolds

Reference 12

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Observation 105bffbe-2ce3-4e84-83eb-650f599a2b7b · outbound

This paper cites An inverse problem for a semi-linear elliptic equation in R iemannian geometries.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse problem for a semi-linear elliptic equation in R iemannian geometries

Reference 13

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Observation e57b50d6-ab16-4463-90a4-8a7010b8bd68 · outbound

This paper cites Calder\'on inverse problem with partial data on R iemann surfaces.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Calder\'on inverse problem with partial data on R iemann surfaces

Reference 14

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Observation 459b9a38-c6b8-4176-a255-c536c706506e · outbound

This paper cites The D irichlet problem for M onge- A mp\`ere equations in non-convex domains and spacelike hypersurfaces of constant G auss curvature.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation The D irichlet problem for M onge- A mp\`ere equations in non-convex domains and spacelike hypersurfaces of constant G auss curvature

Reference 15

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Observation 1e1a5b4e-dc62-4a35-a2a9-ea768d9c009a · outbound

This paper cites Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Simultaneous recovery of piecewise analytic coefficients in a semilinear elliptic equation

Reference 16

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Observation c4bfce06-43f9-4d4f-bb17-8b1e35b971ce · outbound

This paper cites On uniqueness in inverse problems for semilinear parabolic equations.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation On uniqueness in inverse problems for semilinear parabolic equations

Reference 17

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Observation 3091673b-82ae-4d23-a2d1-1c0b68adfe92 · outbound

This paper cites Partial data inverse problems for quasilinear conductivity equations.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Partial data inverse problems for quasilinear conductivity equations

Reference 18

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Observation 3fdcd8f2-9225-4334-8c7e-2ac0d55a5ceb · outbound

This paper cites an unresolved cited work.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Unresolved cited work

Reference 19

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Observation 94602c7b-be0f-45dc-ad24-c4b469bb4038 · outbound

This paper cites Identification of nonlinearity in a conductivity equation via the D irichlet-to- N eumann map.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Identification of nonlinearity in a conductivity equation via the D irichlet-to- N eumann map

Reference 20

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Observation 7cbb9d3c-2e75-4780-80a2-3a6fc2a5b3c3 · outbound

This paper cites Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Partial data inverse problems for semilinear elliptic equations with gradient nonlinearities

Reference 21

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Observation 22fd8f98-beab-457d-8794-3bf3216068c8 · outbound

This paper cites A remark on partial data inverse problems for semilinear elliptic equations.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation A remark on partial data inverse problems for semilinear elliptic equations

Reference 22

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Observation 63ba86ae-fee3-45e2-857b-96ea7d7990f6 · outbound

This paper cites Introduction to inverse problems for non-linear partial differential equations.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Introduction to inverse problems for non-linear partial differential equations

Reference 23

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Observation 17fabedc-9317-48b9-bdb7-1172908e0dfe · outbound

This paper cites An inverse source problem for a quasilinear elliptic equation.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse source problem for a quasilinear elliptic equation

Reference 24

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Observation 5ebd8a0e-60c4-4731-89a5-970187c390de · outbound

This paper cites Global uniqueness for the fractional semilinear S chr\"odinger equation.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Global uniqueness for the fractional semilinear S chr\"odinger equation

Reference 25

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Observation f611d2f0-1e12-4e85-a5d5-e02f4426d21b · outbound

This paper cites Inverse problems for fractional semilinear elliptic equations.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Inverse problems for fractional semilinear elliptic equations

Reference 26

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Observation 162bab8b-ed0d-46f8-bb98-d7fb3a87a27a · outbound

This paper cites An inverse problem for the M onge- A mp\`ere equation.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse problem for the M onge- A mp\`ere equation

Reference 27

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Observation 676eba32-6bdb-4e79-8108-e33abe91c1a8 · outbound

This paper cites Inverse P roblems for I ntegro-differential O perators , volume 222 of Applied Mathematical Sciences.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Inverse P roblems for I ntegro-differential O perators , volume 222 of Applied Mathematical Sciences

Reference 28

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Observation e399f600-c06e-42aa-aa9d-a6617e31a459 · outbound

This paper cites Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Partial data inverse problems and simultaneous recovery of boundary and coefficients for semilinear elliptic equations

Reference 29

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Observation 765d806e-a49a-4b47-825f-7adb68893fa9 · outbound

This paper cites Inverse problems for elliptic equations with power type nonlinearities.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Inverse problems for elliptic equations with power type nonlinearities

Reference 30

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Observation 20a2fba7-289f-4d0e-afba-818b95992092 · outbound

This paper cites Inverse problems for elliptic equations with fractional power type nonlinearities.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Inverse problems for elliptic equations with fractional power type nonlinearities

Reference 31

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Observation 773d108c-8814-409a-8a70-ee0515af171d · outbound

This paper cites An inverse source problem for a fully nonlinear elliptic equation.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse source problem for a fully nonlinear elliptic equation

Reference 32

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Observation aff49303-129a-4a7c-9238-3dae012d9a26 · outbound

This paper cites Increasing stability in the linearized inverse S chr\"odinger potential problem with power type nonlinearities.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Increasing stability in the linearized inverse S chr\"odinger potential problem with power type nonlinearities

Reference 33

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Observation b0663304-1166-4075-b55b-8fda02758cbd · outbound

This paper cites Calder\'{o}n problem for the quasilinear conductivity equation in dimension $2$.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Calder\'{o}n problem for the quasilinear conductivity equation in dimension $2$

Reference 34

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Observation a271ef7e-29cc-4f11-857c-94ea7c31eb23 · outbound

This paper cites Allgemeine Lehrs \"a tze \"u ber die konvexen Polyeder.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Allgemeine Lehrs \"a tze \"u ber die konvexen Polyeder

Reference 35

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Observation 216147af-dcd0-45de-a438-e35f09d93205 · outbound

This paper cites Volumen und O berfl\"ache.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Volumen und O berfl\"ache

Reference 36

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Observation 256b0c68-f1dc-413c-9d05-dbdbdd018bb7 · outbound

This paper cites An inverse problem for the minimal surface equation in the presence of a R iemannian metric.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse problem for the minimal surface equation in the presence of a R iemannian metric

Reference 37

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Observation 058cfbae-5bb3-4aaf-995e-fe72a00190ee · outbound

This paper cites Paternain, Mikko Salo, and Gunther Uhlmann.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Paternain, Mikko Salo, and Gunther Uhlmann

Reference 38

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Observation 81288c0d-305b-4018-8cbd-202681d74355 · outbound

This paper cites Inverse problems for semilinear elliptic PDE with measurements at a single point.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Inverse problems for semilinear elliptic PDE with measurements at a single point

Reference 39

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Observation e361cc86-5249-44a5-a9a6-5963569ace5c · outbound

This paper cites Inverse problems in quasilinear anisotropic media.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation Inverse problems in quasilinear anisotropic media

Reference 40

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Observation 41ea453f-9cb0-4b72-80c2-fa0af0df049d · outbound

This paper cites On a quasilinear inverse boundary value problem.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation On a quasilinear inverse boundary value problem

Reference 41

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Observation b72908d7-ae5f-461c-8210-92c664d23c97 · outbound

This paper cites An inverse boundary-value problem for semilinear elliptic equations.

Gauge rigidity in an inverse problem for the prescribed Gaussian curvature equation An inverse boundary-value problem for semilinear elliptic equations

Reference 42

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