Existence and multiplicity of solutions for a Dirichlet problem in fractional Orlicz–Sobolev spaces

Author:

Ochoa Pablo,Silva AnalíaORCID,Marziani Maria José Suarez

Funder

Fondo para la Investigación Científica y Tecnológica

Universidad Nacional de San Luis

Universidad Nacional de Cuyo

Publisher

Springer Science and Business Media LLC

Subject

Applied Mathematics

Reference27 articles.

1. Adams, R.: Sobolev spaces, Academic Press [A subsidiary of Harcourt Brace Jovanovich, Publishers], New York-London, Pure and Applied Mathematics, Vol. 65. MR 0450957 (1975)

2. Alberico, A., Cianchi, A., Pick, L., Slavíková, L.: Fractional Orlicz-Sobolev embeddings. J. de Mathématiques Pures et Appliquées 149, 216–253 (2021)

3. Bahrouni, S., Salort, A.: Neumann and Robin type boundary conditions in Fractional Orlicz-Sobolev spaces. ESAIM: COCV, forthcoming article (2021)

4. Bahrouni, A., Bahrouni, S., Xiang, M.: On a class of nonvariational problems in fractional Orlicz-Sobolev spaces. Nonlinear Anal. 190, 111595 (2020)

5. Bahrouni, A., Missaoui, H., Ounaies, H.: Least-energy nodal solutions of nonlinear equations with fractional Orlicz-Sobolev spaces. arXiv:2105.03368

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