To access the full text documents, please follow this link: http://hdl.handle.net/2117/20352
|
Title:
|
Radial symmetry of solutions to diffusion equations with discontinuous nonlinearities
|
|
Author:
|
Serra Montolí, Joaquim
|
|
Other authors:
|
Universitat Politècnica de Catalunya. Departament de Matemàtica Aplicada I |
|
Abstract:
|
We prove a radial symmetry result for bounded nonnegative solutions to the p-Laplacian semilinear equation −Δpu=f(u) posed in a ball of Rn and involving discontinuous nonlinearities f. When p=2 we obtain a new result which holds in every dimension n for certain positive discontinuous f. When p⩾n we prove radial symmetry for every locally bounded nonnegative f. Our approach is an extension of a method of P.L. Lions for the case p=n=2. It leads to radial symmetry combining the isoperimetric inequality and the Pohozaev identity. |
|
Abstract:
|
Peer Reviewed |
|
Subject(s):
|
-Àrees temàtiques de la UPC::Matemàtiques i estadística::Equacions diferencials i integrals
-Radial symmetry
-Symmetry (Mathematics)
-Simetria (Matemàtica) |
|
Rights:
|
|
|
Document type:
|
Article - Published version
Article |
|
Share:
|
|
Show full item record
