Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958709 | Computers & Mathematics with Applications | 2016 | 12 Pages |
Abstract
In this paper, we investigate the following fractional Schrödinger equation with sublinear perturbation and steep potential well {(ââ³)su+λV(x)u=f(x,u)+α(x)|u|νâ2uinRN,uâHs(RN), where 00,1<ν<2, fâC(RNÃR) 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
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Authors
Liu Yang, Zhisu Liu,