Resonant Robin problems driven by the $p$-Laplacian plus an indefinite potential
Analysis of PDEs
2018-03-18 v1
Abstract
We consider a nonlinear Robin problems driven by the -Laplacian plus an indefinite potential. The reaction is resonant with respect to a variational eigenvalue. For the principal eigenvalue we assume strong resonance. Using variational tools and critical groups we prove existence and multiplicity theorems.
Keywords
Cite
@article{arxiv.1803.05680,
title = {Resonant Robin problems driven by the $p$-Laplacian plus an indefinite potential},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1803.05680},
year = {2018}
}
Comments
arXiv admin note: text overlap with arXiv:1704.08001, arXiv:1801.05623