Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
6418245 | Journal of Mathematical Analysis and Applications | 2014 | 10 Pages |
Abstract
The aim of this paper is to study a class of nonlocal fractional Laplacian equations depending on two real parameters. More precisely, by using an appropriate analytical context on fractional Sobolev spaces due to Servadei and Valdinoci, we establish the existence of three weak solutions for nonlocal fractional problems exploiting an abstract critical point result for smooth functionals. We emphasize that the dependence of the underlying equation from one of the real parameters is not necessarily of affine type.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Giovanni Molica Bisci, Dušan Repovš,