In the present paper, we consider problems modeled by the following non-local fractional equation:where is fixed, is the fractional Laplace operator, are real parameters, is an open bounded subset of () with Lipschitz boundary , and are two suitable Caratheodory functions. By using variational methods, we prove the existence of at least two weak solutions for such problems for certain values of the parameters.

Two weak solutions for perturbed nonlocal fractional equations

FERRARA, Massimiliano
Supervision
;
2015

Abstract

In the present paper, we consider problems modeled by the following non-local fractional equation:where is fixed, is the fractional Laplace operator, are real parameters, is an open bounded subset of () with Lipschitz boundary , and are two suitable Caratheodory functions. By using variational methods, we prove the existence of at least two weak solutions for such problems for certain values of the parameters.
variational methods, integrodifferential operators, fractional Laplacian
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Utilizza questo identificativo per citare o creare un link a questo documento: http://hdl.handle.net/20.500.12318/6017
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