Positive solutions for the fractional p-Laplacian via mixed topological and variational methods
Analysis of PDEs
2023-03-01 v2
Abstract
We study a nonlinear, nonlocal Dirichlet problem driven by the degenerate fractional p-Laplacian via a combination of topological methods (degree theory for operators of monotone type) and variational methods (critical point theory). We assume local conditions ensuring the existence of sub- and supersolutions. So we prove existence of two positive solutions, in both the coercive and noncoercive cases.
Keywords
Cite
@article{arxiv.2210.02333,
title = {Positive solutions for the fractional p-Laplacian via mixed topological and variational methods},
author = {Antonio Iannizzotto},
journal= {arXiv preprint arXiv:2210.02333},
year = {2023}
}
Comments
17 pages