arXiv:2003.13581 Abstract | arXiv Analytics

arXiv:2003.13581 [math.AP]Abstract References Reviews Resources

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

Published 2020-03-30Version 1

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.

Comments: 22 pages

Categories: math.AP

Keywords: fractional orlicz-sobolev spaces, nonlocal robin type boundary condition, nonlocal problem, non-trivial weak solutions, second part

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