Robin problems with a general potential and a superlinear reaction
Analysis of PDEs
2019-09-12 v2
Abstract
We consider semilinear Robin problems driven by the negative Laplacian plus an indefinite potential and with a superlinear reaction term which need not satisfy the Ambrosetti-Rabinowitz condition. We prove existence and multiplicity theorems (producing also an infinity of smooth solutions) using variational tools, truncation and perturbation techniques and Morse theory (critical groups).
Keywords
Cite
@article{arxiv.1706.03560,
title = {Robin problems with a general potential and a superlinear reaction},
author = {Nikolaos S. Papageorgiou and Vicenţiu D. Rădulescu and Dušan D. Repovš},
journal= {arXiv preprint arXiv:1706.03560},
year = {2019}
}