Parametric nonlinear resonant Robin problems
Analysis of PDEs
2019-12-03 v2 Dynamical Systems
Abstract
We consider a nonlinear Robin problem driven by the -Laplacian. In the reaction we have the competing effects of two nonlinearities. One term is parametric, strictly -sublinear and the other one is -linear and resonant at any nonprincipal variational eigenvalue. Using variational tools from the critical theory (critical groups), we show that for all large enough values of parameter the problem has at least five nontrivial smooth solutions.
Keywords
Cite
@article{arxiv.1911.01781,
title = {Parametric nonlinear resonant Robin problems},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1911.01781},
year = {2019}
}