Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces

Sabri Bahrouni; Ariel Salort

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arXiv · 2003.13581

Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces

Sabri Bahrouni·Ariel Salort

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Abstract

In the first part of this article we deal with the existence of at least three non-trivial weak solutions of a nonlocal problem with nonstandard growth involving a nonlocal Robin type boundary condition. The second part of the article is devoted to study eigenvalues and minimizers of several nonlocal problems for the fractional $g-$Laplacian $(-\Delta_g)^s$ with different boundary conditions, namely, Dirichlet, Neumann and Robin.

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Sabri Bahrouni, Ariel Salort. 2020-03-30. Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces. https://arxiv.org/abs/2003.13581

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