Existence and multiplicity of solutions for double-phase Robin problems
Analysis of PDEs
2020-06-03 v1
Abstract
We consider a double phase Robin problem with a Carath\'{e}odory nonlinearity. When the reaction is superlinear but without satisfying the Ambrosetti-Rabinowitz condition, we prove an existence theorem. When the reaction is resonant, we prove a multiplicity theorem. Our approach is Morse theoretic, using the notion of homological local linking.
Cite
@article{arxiv.2006.01454,
title = {Existence and multiplicity of solutions for double-phase Robin problems},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:2006.01454},
year = {2020}
}