Existence of weak solution for a non-linear problem with fractional p-Laplacian
DOI:
https://doi.org/10.17268/sel.mat.2018.02.03Keywords:
Fractional Calculus, Nehari Manifold, Fibering MapsAbstract
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/p
p < 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, which
is 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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