Li Gui-Dong and Li Yong-Yong and Tang Chun-Lei: A positive solution of asymptotically periodic Schrödinger equations with local superlinear nonlinearities. (2020)
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Abstract
In this paper, we investigate the following Schrödinger equation −∆u + V(x)u = λ f(u) in R N, where N ≥ 3, λ > 0, V is an asymptotically periodic potential and the nonlinearity term f(u) is only locally defined for |u| small and satisfies some mild conditions. By using Nehari manifold and Moser iteration, we obtain the existence of positive solutions for the equation with sufficiently large λ.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2020 |
| Number: | 30 |
| ISSN: | 1417-3875 |
| DOI: | 10.14232/ejqtde.2020.1.30 |
| Uncontrolled Keywords: | Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 13-15. ; összefoglalás angol nyelven |
| Date Deposited: | 2020. Jun. 08. 09:07 |
| Last Modified: | 2021. Oct. 20. 13:52 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/69534 |
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