Artículo
Infinitely many solutions for non-local problems with broken symmetry
Fecha de publicación:
08/2018
Editorial:
De Gruyter
Revista:
Advances in Nonlinear Analysis
ISSN:
2191-950X
Idioma:
Inglés
Tipo de recurso:
Artículo publicado
Clasificación temática:
Resumen
The aim of this paper is to investigate the existence of solutions of the non-local elliptic problem (Formula Presented) where s Ó (0, 1), n > 2s, is an open bounded domain of Rn with Lipschitz boundary ∂Ω, (-Δ)s is the nonlocal Laplacian operator, 2 < p < 2s and h Ó L2 (Ω). This problem requires the study of the eigenvalue problem related to the fractional Laplace operator, with or without potential.
Palabras clave:
FRACTIONAL LAPLACE OPERATOR
,
PERTURBATIVE METHOD
,
VARIATIONAL METHODS
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Articulos(IMAS)
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Articulos de INSTITUTO DE INVESTIGACIONES MATEMATICAS "LUIS A. SANTALO"
Citación
Bartolo, Rossella; de Napoli, Pablo Luis; Salvatore, Addolorata; Infinitely many solutions for non-local problems with broken symmetry; De Gruyter; Advances in Nonlinear Analysis; 7; 3; 8-2018; 353-364
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