Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
4958566 | Computers & Mathematics with Applications | 2017 | 18 Pages |
Abstract
We consider a time-independent fractional Schrödinger equation (ââ³)αu+V(x)u=f(x,u)   in RN,uâHα(RN), where αâ(0,1), N>2α, V(x) is a periodic potential, f is superlinear and has a general subcritical growth. Based on a generalized linking theorem and a variant fountain theorem for strongly indefinite functional, we obtain a ground state solution and infinitely many solutions.
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Authors
Yang Pu, Jiu Liu, Chun-Lei Tang,