Article ID Journal Published Year Pages File Type
4958709 Computers & Mathematics with Applications 2016 12 Pages PDF
Abstract
In this paper, we investigate the following fractional Schrödinger equation with sublinear perturbation and steep potential well {(−△)su+λV(x)u=f(x,u)+α(x)|u|ν−2uinRN,u∈Hs(RN), where 00,1<ν<2, f∈C(RN×R) is of subcritical growth. By using variational methods, we prove that such a class of equations possess at least two nontrivial solutions. Moreover, the phenomenon of concentration of solutions is explored as well.
Related Topics
Physical Sciences and Engineering Computer Science Computer Science (General)
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