Infinitely many solutions for sublinear fractional Schrodinger-type equations with general potentials
| Autor: | Gang-Ling Hou, Bin Ge, Jian-Fang Lu |
|---|---|
| Jazyk: | angličtina |
| Rok vydání: | 2018 |
| Předmět: | |
| Zdroj: | Electronic Journal of Differential Equations, Vol 2018, Iss 97,, Pp 1-13 (2018) |
| Druh dokumentu: | article |
| ISSN: | 1072-6691 |
| Popis: | This article concerns the fractional Schrodinger type equations $$ (-\Delta)^\alpha u+V(x)u =f(x,u) \quad\text{in } \mathbb{R}^N, $$ where $N\geq 2$, $\alpha\in(0,1)$, $(-\Delta)^\alpha$ stands for the fractional Laplacian, $V$ is a positive continuous potential, $f\in C(\mathbb{R}^N\times\mathbb{R},\mathbb{R})$. We establish criteria that guarantee the existence of infinitely many solutions by using the genus properties in critical point theory. |
| Databáze: | Directory of Open Access Journals |
| Externí odkaz: |
|