In this paper we consider some nonlocal fractional equations driven by the fractional Laplace operator and depending on a real parameter. Under two different types of conditions on the nonlinearity, by using a famous critical point theorem in the presence of splitting established by Brezis and Nirenberg, we obtain the existence of at least two nontrivial weak solutions for our problem.
A Brezis-Nirenberg splitting approach for nonlocal fractional problems
Molica Bisci Giovanni
;Servadei Raffaella
2015
Abstract
In this paper we consider some nonlocal fractional equations driven by the fractional Laplace operator and depending on a real parameter. Under two different types of conditions on the nonlinearity, by using a famous critical point theorem in the presence of splitting established by Brezis and Nirenberg, we obtain the existence of at least two nontrivial weak solutions for our problem.File in questo prodotto:
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