Robin fractional problems with symmetric variable growth
Analysis of PDEs
2020-10-28 v1
Abstract
In this paper we study the fractional p(., .)-Laplacian and we introduce the corresponding nonlocal conormal derivative for this operator. We prove basic properties of the corresponding function space and we establish a nonlocal version of the divergence theorem for such operators. In the second part of this paper, we prove the existence of weak solutions of corresponding p(., .)-Robin boundary problems with sign-changing potentials by applying variational tools.
Cite
@article{arxiv.2005.12219,
title = {Robin fractional problems with symmetric variable growth},
author = {Anouar Bahrouni and Vicentiu Radulescu and Patrick Winkert},
journal= {arXiv preprint arXiv:2005.12219},
year = {2020}
}