Resonant semilinear Robin problems with a general potential
Analysis of PDEs
2017-10-31 v1
Abstract
We consider a semilinear Robin problem driven by the Laplacian plus an indefinite and unbounded potential. The reaction term is a Carath\'eodory function which is resonant with respect to any nonprincipal eigenvalue both at and 0. Using a variant of the reduction method, we show that the problem has at least two nontrivial smooth solutions.
Keywords
Cite
@article{arxiv.1710.10422,
title = {Resonant semilinear Robin problems with a general potential},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1710.10422},
year = {2017}
}