Article ID Journal Published Year Pages File Type
8899370 Journal of Mathematical Analysis and Applications 2018 22 Pages PDF
Abstract
In this paper we study the existence and the multiplicity of positive solutions for the following class of fractional Schrödinger equationsϵ2s(−Δ)su+V(x)u=f(u) in RN, where ϵ>0 is a parameter, s∈(0,1), N>2s, V:RN→R is a continuous positive potential, and f:R→R 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
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