Issue |
ESAIM: COCV
Volume 27, 2021
Regular 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
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Article Number | S15 | |
Number of page(s) | 23 | |
DOI | https://doi.org/10.1051/cocv/2020064 | |
Published online | 01 March 2021 |
Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces
1
Department of Mathematics, Faculty of Sciences, University of Monastir,
5019
Monastir, Tunisia.
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: asalort@dm.uba.ar
Received:
30
March
2020
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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