Infinitely many solutions for fractional Schr\"odinger equations in R^N
Using variational methods we prove the existence of infinitely many solutions to the fractional Schrodinger equation $$ (-\Delta)^su+V(x)u=f(x,u), \quad x\in\mathbb{R}^N, $$ where $N\ge 2, s\in (0,1)$. $(-\Delta)^s$ stands for the fractional Laplacian. The potential function satisfies $V(x...
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| Format: | Article |
| Language: | English |
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Texas State University
2016-03-01
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| Series: | Electronic Journal of Differential Equations |
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| Online Access: | http://ejde.math.txstate.edu/Volumes/2016/88/abstr.html |