Ludmila Meskova
A symmetry problem for a singular equation
ANEDDA, CLAUDIA
2004-01-01
Abstract
We discuss an overdetermined problem associated with a particular singular elliptic equation in a bounded domain \Omega \subset R^N. We prove that if the solution u vanishes and if the gradient |\Nabla u| is a constant on the boundary \partial \Omega then \Omega must be a ball, extending a well known result for regular equations.I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.