Ground state solutions for non-local fractional Schrodinger equations
In this article, we study a time-independent fractional Schrodinger equation with non-local (regional) diffusion $$ (-\Delta)^{\alpha}_{\rho}u + V(x)u = f(x,u) \quad \text{in }\mathbb{R}^{N}, $$ where $\alpha \in (0,1)$, $N > 2\alpha$. We establish the existence of a non-negative ground sta...
| Main Authors: | , , |
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| Format: | Article |
| Language: | English |
| Published: |
Texas State University
2015-08-01
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| Series: | Electronic Journal of Differential Equations |
| Subjects: | |
| Online Access: | http://ejde.math.txstate.edu/Volumes/2015/223/abstr.html |