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

Raúl Sánchez A., Cesar Torres L.

Resumen


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.


Palabras clave


Cálculo fraccionario; Variedad de Nehari; Fibering Maps

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Referencias


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Received: Feb. 02, 2018.

Accepted: Oct. 20, 2018.

Corresponding author: rsanchez@untumbes.edu.pe

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DOI: http://dx.doi.org/10.17268/sel.mat.2018.02.03

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Short Title: Sel. mat.

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 ISSN:  2411-1783  Versión Electrónica.                      

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