Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential
Analysis of PDEs
2017-03-07 v3
Abstract
We use a variant of the fountain Theorem to prove the existence of infinitely many weak solutions for the following fractional p-Laplace equation (-\Delta)^{s}_{p}u+V(x)|u|^{p-2}u=f(x,u) in R^N, where ,,, is the fractional -Laplace operator, the nonlinearity f is -superlinear at infinity and the potential V(x) is allowed to be sign-changing.
Cite
@article{arxiv.1603.05282,
title = {Multiple solutions for a fractional $p$-Laplacian equation with sign-changing potential},
author = {Vincenzo Ambrosio},
journal= {arXiv preprint arXiv:1603.05282},
year = {2017}
}