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A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative

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Outgoing claims: the papers this work cites, builds on, or argues with.

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On a Class of Overdetermined Eigenvalue Problems
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Continuous Steiner‐Symmetrization
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Use of the Domain Derivative to Prove Symmetry Results in Partial Differential Equations
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Duality theorems in some overdetermined boundary value problems
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Introduction to Shape Optimization: Shape Sensitivity Analysis
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A symmetry problem in potential theory
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Remark on the preceding paper of Serrin
inferredcites →https://doi.org/10.1007/bf00944752openalex-snapshot
On some second order and fourth order elliptic overdetermined problems
inferredcites →https://doi.org/10.1007/bf02829490openalex-snapshot
Continuous rearrangement and symmetry of solutions of elliptic problems
inferredcites →https://doi.org/10.1007/s002050050162openalex-snapshot
Symmetry of Ground States of Quasilinear Elliptic Equations
inferredcites →https://doi.org/10.1007/s002050050163openalex-snapshot
Symmetry of Ground States of p -Laplace Equations via the Moving Plane Method
inferredcites →https://doi.org/10.1016/0362-546x(92)90135-2openalex-snapshot
Some nonstandard problems for a class of quasilinear second order elliptic equations
inferredcites →https://doi.org/10.1016/s0294-1449(98)80032-2openalex-snapshot
Comparison theorems for some quasilinear degenerate elliptic operators and applications to symmetry and monotonicity results
inferredcites →https://doi.org/10.1080/00036819408840300openalex-snapshot
A symmetry result for the p-laplacian equation via the moving planes method
inferredcites →https://doi.org/10.1080/01630563.1980.10120631openalex-snapshot
Differentiation with Respect to the Domain in Boundary Value Problems
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Some results about Schiffer's conjectures
inferredcites →https://doi.org/10.1112/blms/1.3.423openalex-snapshot
LINEAR AND QUASILINEAR ELLIPTIC EQUATIONS
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Symmetry in an Overdetermined Fourth Order Elliptic Boundary Value Problem
inferredcites →https://doi.org/10.12775/tmna.1998.027openalex-snapshot
Symmetry of positive solutions of some nonlinear equations
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Positive solutions of quasilinear elliptic equations
inferredcites →https://doi.org/10.1515/9781400882663openalex-snapshot
Isoperimetric Inequalities in Mathematical Physics. (AM-27)
inferredcites →https://doi.org/10.2307/2374477openalex-snapshot
A Symmetry Result Related to Some Overdetermined Boundary Value Problems
inferredcites →https://doi.org/10.2307/2374594openalex-snapshot
Symmetry Theorems Related to Pompeiu's Problem
inferredcites →https://doi.org/10.57262/ade/1356651297openalex-snapshot
Monotonicity and symmetry results for $p$-Laplace equations and applications

What points at this work

Incoming claims: where this work appears in other papers’ reference lists and arguments.

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Symmetry Results for Overdetermined Problems via $$L_p$$ Brunn–Minkowski Inequalities
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Symmetry for a general class of overdetermined elliptic problems
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On the Dirichlet and Serrin Problems for the Inhomogeneous Infinity Laplacian in Convex Domains: Regularity and Geometric Results
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Overdetermined problems for fully nonlinear elliptic equations
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A new symmetry criterion based on the distance function and applications to PDEʼs
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Variational formula and overdetermined problem for the principle eigenvalue of k -Hessian operator
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Discrete Serrin's problem
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Symmetry results for overdetermined problems on convex domains via Brunn–Minkowski inequalities
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Weinstein's Technique for a Class of Parabolic Problems
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Modica type estimates and curvature results for overdetermined $ p $ -Laplace problems
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Shape optimization for Monge-Ampère equations via domain derivative
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Some Steiner Symmetry Results in Overdetermined Boundary Value Problem
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