Critical concave convex Ambrosetti-Prodi type problem for fractional $p$-Laplacian
Analysis of PDEs
2020-08-31 v2
Abstract
In this paper we consider a class of critical concave convex Ambrosetti-Prodi type problems for the fractional -Laplacian operator. By applying the Linking Theorem and the Mountain Pass Theorem as well, the interaction of the nonlinearities with the first eigenvalue of fractional -Laplacian will be used to prove existence and multiplicity of solutions.
Keywords
Cite
@article{arxiv.2004.02576,
title = {Critical concave convex Ambrosetti-Prodi type problem for fractional $p$-Laplacian},
author = {Hamilton Bueno and Eduardo Huerto Caqui and Olimpio Miyagaki and Fábio Pereira},
journal= {arXiv preprint arXiv:2004.02576},
year = {2020}
}
Comments
25 pages