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arXiv · 2005.12219

Robin fractional problems with symmetric variable growth

Anouar Bahrouni·Vicentiu Radulescu·Patrick Winkert
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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.

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Anouar Bahrouni, Vicentiu Radulescu, Patrick Winkert. 2020-05-25. Robin fractional problems with symmetric variable growth. https://doi.org/10.1063/5.0014915

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