Volume 27, 2021Regular articles published in advance of the transition of the journal to Subscribe to Open (S2O). Free supplement sponsored by the Fonds National pour la Science Ouverte
|Number of page(s)||23|
|Published online||01 March 2021|
Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces
Department of Mathematics, Faculty of Sciences, University of Monastir,
2 Departamento de Matemática, FCEyN - Universidad de Buenos Aires and IMAS - °ICET Ciudad Universitaria, Pabellón I (1428) Av. Cantilo s/n. Buenos Aires, Argentina.
* Corresponding author: firstname.lastname@example.org
Accepted: 29 September 2020
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 (-Δg)s with different boundary conditions, namely, Dirichlet, Neumann and Robin.
Mathematics Subject Classification: 46E30 / 35R11 / 45G05
Key words: Fractional Orlicz-Sobolev spaces / Neumann and Robin problem / three solutions / eigenvalue problems
© EDP Sciences, SMAI 2021
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