Three solutions for a Neumann partial differential inclusion via nonsmooth Morse theory
Analysis of PDEs
2017-07-27 v1
Abstract
We study a partial differential inclusion, driven by the p-Laplacian operator, involving a p-superlinear nonsmooth potential, and subject to Neumann boundary conditions. By means of nonsmooth critical point theory, we prove the existence of at least two constant sign solutions (one positive, the other negative). Then, by applying the nonsmooth Morse relation, we find a third non-zero solution.
Keywords
Cite
@article{arxiv.1411.3242,
title = {Three solutions for a Neumann partial differential inclusion via nonsmooth Morse theory},
author = {Francesca Colasuonno and Antonio Iannizzotto and Dimitri Mugnai},
journal= {arXiv preprint arXiv:1411.3242},
year = {2017}
}