Sign changing solutions for quasilinear superlinear elliptic problems
Analysis of PDEs
2016-10-11 v1
Abstract
Results on existence and multiplicity of solutions for a nonlinear elliptic problem driven by the -Laplace operator are established. We employ minimization arguments on suitable Nehari manifolds to build a negative and a positive ground state solutions. In order to find a nodal solution we employ additionally the well known Deformation Lemma and Topological Degree Theory.
Keywords
Cite
@article{arxiv.1610.02525,
title = {Sign changing solutions for quasilinear superlinear elliptic problems},
author = {E. D. Silva and M. L. M. Carvalho and F. J. S. A. Corrêa and Jose V. A. Goncalves},
journal= {arXiv preprint arXiv:1610.02525},
year = {2016}
}