A Symmetry Result for the p-Laplacian in a Punctured Manifold Articles uri icon

authors

  • PERALTA SALAS, DANIEL
  • ENCISO, ALBERTO

publication date

  • June 2009

start page

  • 619

end page

  • 624

issue

  • 2

volume

  • 354

International Standard Serial Number (ISSN)

  • 0022-247X

Electronic International Standard Serial Number (EISSN)

  • 1096-0813

abstract

  • Let M be a Riemannian manifold such that its geodesic spheres centered at a point a∈M are isoperimetric and the distance function dist(⋅,a) is isoparametric, and let Omega⊂M be a bounded domain. We prove that if there exists a lower bounded nonconstant function u which is p-harmonic (1