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arXiv · 2008.00557

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

Mohamed Berghout
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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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Mohamed Berghout. 2020-08-02. Variable exponent Sobolev trace spaces and Dirichlet problem in axiomatic nonlinear potential theory. https://arxiv.org/abs/2008.00557

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