Symmetry of integral equations on bounded domains

DOI10.1090/S0002-9939-09-09987-0zbMath1188.45001MaRDI QIDQ3642654

Dongsheng Li, Gerhard Ströhmer, Lihe Wang

Publication date: 6 November 2009

Published in: Proceedings of the American Mathematical Society (Search for Journal in Brave)

zbMATH Keywords

symmetryintegral equationsmoving planes

Mathematics Subject Classification ID

Boundary values of solutions to elliptic equations and elliptic systems (35J67) Integral equations of the convolution type (Abel, Picard, Toeplitz and Wiener-Hopf type) (45E10)

Related Items (16)

About linear stability for multiple gas balls ⋮ Symmetry of integral equation systems with Bessel kernel on bounded domains ⋮ Overdetermined problems for negative power integral equations on bounded domain ⋮ A Liouville type theorem for poly-harmonic Dirichlet problems in a half space ⋮ Symmetry of integral equation systems on bounded domains ⋮ On the numbers of images of two stochastic gravitational lensing models ⋮ Some symmetry results for integral equations involving Wolff potential on bounded domains ⋮ Characterization of balls in terms of Bessel-potential integral equation ⋮ Radial symmetry results for systems of integral equations on \(\Omega \subset {\mathbb{R}}^n\) ⋮ About nonlinear stability for multiple gas balls ⋮ Radial symmetry results for Bessel potential integral equations in exterior domains and in annular domains ⋮ A classification of positive solutions of some integral systems ⋮ The overdetermined equations on bounded domain ⋮ An overdetermined problem in Riesz-potential and fractional Laplacian ⋮ Partially overdetermined problem in some integral equations ⋮ Symmetry results of positive solutions of integral equations involving Riesz potential in exterior domains and in annular domains

Cites Work

• Symmetry and related properties via the maximum principle
• About the linear stability of the spherically symmetric solution for the equations of a barotropic viscous fluid under the influence of self-gravitation
• A symmetry problem in potential theory
• On the existence and properties of the rotationally symmetric equilibrium state of compressible barotropic self-gravitating fluids
• Classification of solutions for an integral equation

This page was built for publication: Symmetry of integral equations on bounded domains