Existence of standing waves for Schrodinger equations involving the fractional Laplacian
We study a class of fractional Schrodinger equations of the form $$ \varepsilon^{2\alpha}(-\Delta)^\alpha u+ V(x)u = f(x,u) \quad\text{in } \mathbb{R}^N, $$ where $\varepsilon$ is a positive parameter, $0 < \alpha < 1$, $2\alpha < N$, $(-\Delta)^\alpha$ is the fractional Laplacian, $...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2017-03-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2017/76/abstr.html |