Cargando...
Fecha
2025-12-01
Derechos de acceso
info:eu-repo/semantics/closedAccess
Título de la revista
ISSN de la revista
Título del volumen
Editorial
American Institute of Mathematical Sciences
Citas
Resumen
We analyze the existence and multiplicity of positive solutions to a nonlocal elliptic problem involving the spectral fractional Laplacian endowed with homogeneous mixed Dirichlet-Neumann boundary conditions and
weighted critical nonlinearities. By means of variational methods and the Nehari manifold approach, we deduce the existence of multiple positive solutions under some assumptions on the behavior of the weight function around its maximum points. In this way, we extend and improve the results in [19], dealing with the Dirichlet problem for the classical Laplacian, to the nonlocal setting with mixed boundary conditions.
Descripción
The registered version of this article, first published in “Discrete and Continuous Dynamical Systems 35 (2025), 153-178", is available online at the publisher's website: American Institute of Mathematical Sciences, http://dx.doi.org/10.3934/dcdsb.2026008
La versión registrada de este artículo, publicado por primera vez en “Discrete and Continuous Dynamical Systems 35 (2025), 153-178", está disponible en línea en el sitio web del editor: American Institute of Mathematical Sciences, http://dx.doi.org/10.3934/dcdsb.2026008
La versión registrada de este artículo, publicado por primera vez en “Discrete and Continuous Dynamical Systems 35 (2025), 153-178", está disponible en línea en el sitio web del editor: American Institute of Mathematical Sciences, http://dx.doi.org/10.3934/dcdsb.2026008
Categorías UNESCO
Palabras clave
Fractional Laplacian, Mixed boundary conditions, Critical Sobolev exponent, Multiplicity of solutions, Variational methods, Nehari manifold
Citación
Ortega, Alejandro, Vilasi, Luca, Wang, Youjun (2025). Positive solutions for a weighted critical problem with mixed boundary conditions. Discrete and Continuous Dynamical Systems 35, 153-178. http://dx.doi.org/10.3934/dcdsb.2026008
Centro
Facultad de Ciencias
Departamento
Matemáticas Fundamentales