Nonlinear problem involving the fractional p(x)-Laplacian operator by Topological degree
Analysis of PDEs
2019-12-25 v1
Abstract
This paper is concerned with the study of a nonlinear problems involving the fractional p(x)-Laplacian operator. By means of the Berkovits degree theory, we prove the existence of nontrivial weak solutions for this problem. The appropriate functional framework for this problems is the fractional Sobolev spaces with variable exponent.
Keywords
Cite
@article{arxiv.1912.11360,
title = {Nonlinear problem involving the fractional p(x)-Laplacian operator by Topological degree},
author = {Mustapha Ait Hammou},
journal= {arXiv preprint arXiv:1912.11360},
year = {2019}
}