Variable exponent Sobolev trace spaces and Dirichlet problem in axiomatic nonlinear potential theory
Functional Analysis
2020-08-04 v1
Abstract
We give a news characterization of variable exponent Sobolev trace spaces. We construct The Perron-Weiner-Brelot operator in nonlinear harmonic space and we give sufficient condition for which this operator is injective.
Cite
@article{arxiv.2008.00557,
title = {Variable exponent Sobolev trace spaces and Dirichlet problem in axiomatic nonlinear potential theory},
author = {Mohamed Berghout},
journal= {arXiv preprint arXiv:2008.00557},
year = {2020}
}