Multiple solutions for superlinear fractional $p$-Laplacian equations
Analysis of PDEs
2024-11-18 v1
Abstract
We study a Dirichlet problem driven by the (degenerate or singular) fractional -Laplacian and involving a -superlinear reaction at infinity, not necessarily satisfying the Ambrosetti-Rabinowitz condition. Using critical point theory, truncation, and Morse theory, we prove the existence of at least three nontrivial solutions to the problem.
Cite
@article{arxiv.2411.10119,
title = {Multiple solutions for superlinear fractional $p$-Laplacian equations},
author = {Antonio Iannizzotto and Vasile Staicu and Vincenzo Vespri},
journal= {arXiv preprint arXiv:2411.10119},
year = {2024}
}
Comments
18 pages