In this paper, we are concerned with the problem driven by a non-local integro-differential operator with homogeneous Dirichlet boundary conditions. As a particular case, we study multiple solutions for the following non-local fractional Laplace equations:where is fixed parameter, is an open bounded subset of with smooth boundary () and is the fractional Laplace operator. By a variant version of the Mountain Pass Theorem, a multiplicity result is obtained for the above-mentioned superlinear problem without Ambrosetti-Rabinowitz condition. Consequently, the result may be looked as a complete extension of the previous work of Wang and Tang to the non-local fractional setting.
|Titolo:||Multiplicity of solutions for a class of superlinear non-local fractional equations|
FERRARA, Massimiliano [Validation]
|Data di pubblicazione:||2015|
|Appare nelle tipologie:||1.1 Articolo in rivista|
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