English

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 ±\pm \infty 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}
}
R2 v1 2026-06-22T22:28:23.080Z