Published in

De Gruyter, Advanced Nonlinear Studies, 1(13), p. 149-178, 2013

DOI: 10.1515/ans-2013-0109

Links

Tools

Export citation

Search in Google Scholar

Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-laplace operator

Journal article published in 2013 by Jean Dolbeault ORCID, Marta García-Huidobro, Raul Manasevich
This paper is available in a repository.
This paper is available in a repository.

Full text: Download

Green circle
Preprint: archiving allowed
Upload
Green circle
Postprint: archiving allowed
Upload
Green circle
Published version: archiving allowed
Upload
Policy details
Data provided by SHERPA/RoMEO

Abstract

Abstract We consider radial solutions of an elliptic equation involving the p-Laplace operator and prove by a shooting method the existence of compactly supported solutions with any prescribed number of nodes. The method is based on a change of variables in the phase plane corresponding to an asymptotic Hamiltonian system and provides qualitative properties of the solutions.