Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator
Analysis of PDEs
2012-09-05 v1
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.
Keywords
Cite
@article{arxiv.1209.0614,
title = {Qualitative properties and existence of sign changing solutions with compact support for an equation with a p-Laplace operator},
author = {Jean Dolbeault and Marta Garcia-Huidobro and Raul Manásevich},
journal= {arXiv preprint arXiv:1209.0614},
year = {2012}
}