Using variational methods we prove the existence of infinitely many solutions to the fractional Schrodinger equation
where . stands for the fractional Laplacian. The potential function satisfies . The nonlinearity f(x,u) is superlinear, has subcritical growth in u, and may or may not satisfy the (AR) condition.
Submitted January 31, 2016. Published March 30, 2016.
Math Subject Classifications: 35R11, 35A15, 35J60, 47G20.
Key Words: Fractional Schrodinger equation; variational methods; (PS) condition; (C)c condition
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| Caisheng Chen |
College of Science, Hohai University
Nanjing 210098, China
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