Variable exponent Sobolev trace spaces and Dirichlet problem in axiomatic nonlinear potential theory

2020/08/02 by Berghout, Mohamed
#FOS: Mathematics #Functional Analysis (math.FA)

paper · doi:10.48550/arxiv.2008.00557

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.

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