Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
8899370 | Journal of Mathematical Analysis and Applications | 2018 | 22 Pages |
Abstract
In this paper we study the existence and the multiplicity of positive solutions for the following class of fractional Schrödinger equationsϵ2s(âÎ)su+V(x)u=f(u) in RN, where ϵ>0 is a parameter, sâ(0,1), N>2s, V:RNâR is a continuous positive potential, and f:RâR is a C1 superlinear nonlinearity which does not satisfy the Ambrosetti-Rabinowitz condition. The main result is established by using minimax methods and Ljusternik-Schnirelmann theory of critical points.
Related Topics
Physical Sciences and Engineering
Mathematics
Analysis
Authors
Claudianor O. Alves, Vincenzo Ambrosio,