Existencia de solución débil para un problema no lineal con el operador p-Laplaciano fraccionario
DOI:
https://doi.org/10.17268/sel.mat.2018.02.03Palavras-chave:
Cálculo fraccionario, Variedad de Nehari, Fibering MapsResumo
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.
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