论文标题

Neumann和Robin类型边界条件在分数Orlicz-Sobolev空间

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

论文作者

Bahrouni, Sabri, Salort, Ariel

论文摘要

在本文的第一部分中,我们处理了至少三个非局部问题的非平凡弱解,非标准生长涉及非局部robin类型边界条件。本文的第二部分专门研究针对不同边界条件的分数$ g- $ laplacian $(-Δ_g)^s $的几个非本地问题的特征值和最小化器。

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 $(-Δ_g)^s$ with different boundary conditions, namely, Dirichlet, Neumann and Robin.

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