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

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 nonloca...

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Detalles Bibliográficos
Autores: Bahrouni, Sabri, Salort, Ariel Martin
Tipo de recurso: artículo
Estado:Versión publicada
Fecha de publicación:2020
País:Argentina
Institución:Consejo Nacional de Investigaciones Científicas y Técnicas
Repositorio:CONICET Digital (CONICET)
Idioma:inglés
OAI Identifier:oai:ri.conicet.gov.ar:11336/143205
Acceso en línea:http://hdl.handle.net/11336/143205
Access Level:acceso abierto
Palabra clave:EIGENVALUE PROBLEMS
FRACTIONAL ORLICZ-SOBOLEV SPACES
NEUMANN AND ROBIN PROBLEM
THREE SOLUTIONS
https://purl.org/becyt/ford/1.1
https://purl.org/becyt/ford/1
Descripción
Sumario: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.