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Symmetry Theorems Related to Pompeiu's Problem
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What this work says
Outgoing claims: the papers this work cites, builds on, or argues with.
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Singularity Theory and an Introduction to Catastrophe Theory
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A symmetry problem in potential theory
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Symmetry-breaking for positive solutions of semilinear elliptic equations
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Symmetry and related properties via the maximum principle
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Inequalities for Eigenvalues of Membranes and Plates
What points at this work
Incoming claims: where this work appears in other papers’ reference lists and arguments.
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On a Class of Overdetermined Eigenvalue Problems
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Some overdetermined parabolic problems
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Duality theorems in some overdetermined boundary value problems
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A Survey on the Krein–von Neumann Extension, the Corresponding Abstract Buckling Problem, and Weyl-type Spectral Asymptotics for Perturbed Krein Laplacians in Nonsmooth Domains
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Inequalities between Dirichlet and Neumann Eigenvalues
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A Bibliographic Survey of the Pompeiu Problem
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Inequalities between dirichlet and Neumann eigenvalues
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Some inequalities between Dirichlet and neumann eigenvalues
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A duality theorem for an overdetermined eigenvalue problem
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Saddle points and overdetermined problems for the Helmholtz equation
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Deformations of balls in Schiffer’s conjecture for Riemannian symmetric spaces
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Asymptotic expansions for a class of Fourier integrals and applications to the Pompeiu problem
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A symmetry result for an overdetermined elliptic problem using continuous rearrangement and domain derivative
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Some nonconvex shape optimization problems
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Maximum principles and symmetry results for a class of fully nonlinear elliptic PDEs
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High dimension Weinstein conjecture and its application to Schiffer conjecture
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Inequalities between Neumann and Dirichlet Laplacian eigenvalues on planar domains
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Inequalities between Dirichlet, Neumann and buckling eigenvalues on Riemannian manifolds
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Inequalities between Dirichlet and Neumann eigenvalues of the magnetic Laplacian
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Some Comparisons of Dirichlet, Neumann and Buckling Eigenvalues on Riemannian Manifolds
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Some results related to Schiffer’s problem
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A short note on Schiffer’s conjecture for a class of centrally symmetric convex domains in ℝ2
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Multi-phase k-quadrature domains and applications to acoustic waves and magnetic fields
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Spectral theory for perturbed Krein Laplacians in nonsmooth domains
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Symmetry theorems for the overdetermined eigenvalue problems
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Nonlocal Robin Laplacians and some remarks on a paper by Filonov on eigenvalue inequalities
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Some results on the Schiffer conjecture in R2
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Fourier transform, null variety, and Laplacian's eigenvalues
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Some inequalities and asymptotic formulas for eigenvalues on Riemannian manifolds
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A sharpened Moser–Pohozaev–Trudinger inequality with mean value zero in R 2
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Symmetry results for overdetermined boundary value problems of nonlinear elliptic equations
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Boundary regularity for a family of overdetermined problems for the Helmholtz equation
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On an overdetermined elliptic problem with a nonstandard boundary condition
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Symétrie des solutions d'équations semi-linéaires elliptiques
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Le stade ne minimise pas parmi les ouverts convexes du plan
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Isoperimetric Conditions, Poisson Problems, and Diffusions in Riemannian Manifolds
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On eigenvalue inequalities of the Newton potential
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Isoperimetric inequalities for eigenvalues of the Laplacian
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Inequalities between Dirichlet and Neumann eigenvalues of the polyharmonic operators
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Improved inequalities between Dirichlet and Neumann eigenvalues of the biharmonic operator
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Inequalities between Dirichlet and Neumann Eigenvalues on the Heisenberg Group
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Universal Bounds for the Low Eigenvalues of Neumann Laplacians in N Dimensions
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INEQUALITIES BETWEEN DIRICHLET AND NEUMANN EIGENVALUES FOR DOMAINS IN SPHERES
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A Schiffer-type problem for annuli with applications to stationary planar Euler flows
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Singularities of the solution to a certain Cauchy problem and an application to the Pompeiu problem
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A Symmetry Result Related to Some Overdetermined Boundary Value Problems
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Radial symmetry of positive solutions for semilinear elliptic equations in a disc
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Some inequalities between Laplacian eigenvalues on Riemannian manifolds
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An upper bound on the hot spots constant
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A Rigidity Result for the Schiffer Conjecture on Domain with a Hole
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Overdetermined Boundary Value Problems in $\mathbb{S}^n$
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Perturbation of domains in the Pompeiu problem
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Solution of the Pompeiu problem (II)
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Some Results on the Schiffer's Conjecture in R^2
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Isoperimetric relations between Dirichlet and Neumann eigenvalues
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Inequalities for Dirichlet and Neumann eingenvalues of the laplacian for domains on spheres
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Schiffer-type problems and nonradial stationary Euler flows with compact support
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On an eighth order overdetermined elliptic boundary value problem
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