Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential
Analysis of PDEs
2020-08-14 v1
Abstract
We consider a superlinear perturbation of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential. Using variational tools and critical groups, we show that when is close to a nonprincipal eigenvalue, then the problem has seven nontrivial solutions. We provide sign information for six of them.
Keywords
Cite
@article{arxiv.2008.05740,
title = {Superlinear perturbations of the eigenvalue problem for the Robin Laplacian plus an indefinite and unbounded potential},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2008.05740},
year = {2020}
}