Existence of weak solution for a non-linear problem with fractional p-Laplacian

• Autores: Sánchez A., Raúl, Torres L., Cesar
• Formato: artículo
• Fecha de Publicación: 2018
• Institución: Universidad Nacional de Trujillo
• Repositorio: Revista UNITRU - Selecciones Matemáticas
• Lenguaje: español
• OAI Identifier: oai:ojs.revistas.unitru.edu.pe:article/2193
• Enlace del recurso: http://revistas.unitru.edu.pe/index.php/SSMM/article/view/2193
• Nivel de acceso: acceso abierto
• Materia: Cálculo fraccionario; Variedad de Nehari; Fibering Maps; Fractional Calculus; Nehari Manifold

We study the existence of weak solution for a non-linear problem with fractional p-Laplacian operator for the case where the order of the fractional derivative is 1/pp < alfa < 1, 1 < q < p-1, with 2 < p <Infinito, then using the minimization method called Nehari Manifold and its important relationship with the Fibering Maps, whichis defined in the form t-->J(tu), where J is the functional associated to the non-linear problem to be studied, the main result is obtained.