Infinitely many solutions for fractional Schr\'odinger equations in R^N
| Autor: | Caisheng Chen |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2016 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2016, Iss 88,, Pp 1-15 (2016) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | 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 $V(x)\geq V_0>0$. The nonlinearity f(x,u) is superlinear, has subcritical growth in u, and may or may not satisfy the (AR) condition. |
| Databáze: | Directory of Open Access Journals |
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