2 papers
math.FA2020
Fractional variable exponents Sobolev trace spaces
Mohamed Berghout
We introduce and study fractional variable exponents Sobolev trace spaces on any open set in the Euclidean space equipped with the Lebesgue measure. We show that every equivalence…
math.FA2020
Variable exponent Sobolev trace spaces and Dirichlet problem in axiomatic nonlinear potential theory
Mohamed Berghout
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 conditi…