Existencia de solución débil para un problema no lineal con el operador p-Laplaciano fraccionario

• Sánchez A., Raúl ^[1] ; Torres L., Cesar ^[2]
  1. [1] Universidad Nacional de Tumbes

     Universidad Nacional de Tumbes

     Provincia de Tumbes, Perú

     
  2. [2] Departamento de Matemáticas, Universidad Nacional de Trujillo-Perú
• Localización: Selecciones Matemáticas, ISSN-e 2411-1783, Vol. 5, Nº. 2 (Agosto - Diciembre), 2018, págs. 154-163
• Idioma: español
• DOI: 10.17268/sel.mat.2018.02.03
• Títulos paralelos:
  • Existence of weak solution for a non-linear problem with fractional p-Laplacian
• Enlaces
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• Resumen
  • español

    Se estudia la existencia de solución débil para un problema no lineal con el operador p-Laplaciano fraccionario para el caso donde el orden de la derivada fraccionara es 1/p < alfa< 1, 1 < q < p-1, con 2 < p < Infinito, luego usando el método de minimización llamado Variedad de Nehari y su importante relación con los Fibering Maps, los cuales se definen de la forma t-- > J(tu), donde J es el funcional asociado al problema no lineal a estudiar, se obtiene el resultado principal.

  • English

    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.

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