Ran Ling and Chen Shang-Jie and Li Lin: The existence of ground state solutions for semi-linear degenerate Schrödinger equations with steep potential well. (2022)
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Abstract
In this article, we study the following degenerated Schrödinger equations: −∆γu + λV(x)u = f(x, u) in RN, u ∈ Eλ , where λ > 0 is a parameter, ∆γ is a degenerate elliptic operator, the potential V(x) has a potential well with bottom and the nonlinearity f(x, u) is either super-linear or sub-linear at infinity in u. The existence of ground state solution be obtained by using the variational methods.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2022 |
| Number: | 30 |
| ISSN: | 1417-3875 |
| Number of Pages: | 15 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2022.1.30 |
| Uncontrolled Keywords: | Schrödinger-egyenlet |
| Additional Information: | Bibliogr.: p. 14-15. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2022. Sep. 08. 15:16 |
| Last Modified: | 2022. Nov. 08. 10:32 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/76531 |
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