On asymptotically linear elliptic problems
Analysis of PDEs
2022-10-12 v1
Abstract
In this paper we prove the existence of a signed ground state solution in the mountain pass level for a class of asymptotically linear elliptic problems, even when the nonlinearity is just continuous in the second variable. The (strongly) resonant and non-resonant cases are discussed. A multiplicity result is also proved when is odd with respect to the second variable.
Cite
@article{arxiv.2210.05452,
title = {On asymptotically linear elliptic problems},
author = {José Roberto Nascimento and Marcos Tadeu O. Pimenta and João R. Santos Júnior},
journal= {arXiv preprint arXiv:2210.05452},
year = {2022}
}
Comments
22 pages, 1 figure. arXiv admin note: substantial text overlap with arXiv:1708.03399