Zhang Xian and Huang Chen: Asymptotic behavior of multiple solutions for quasilinear Schrödinger equations. (2022)
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Abstract
This paper establishes the multiplicity of solutions for a class of quasilinear Schrödinger elliptic equations: −∆u + V(x)u − 2 ∆(u 2 )u = f(x, u), x ∈ R 3 where V(x) : R3 → R is a given potential and γ > 0. Furthermore, by the variational argument and L ∞-estimates, we are able to obtain the precise asymptotic behavior of these solutions as γ → 0.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2022 |
| Number: | 64 |
| ISSN: | 1417-3875 |
| Language: | English |
| DOI: | 10.14232/ejqtde.2022.1.64 |
| Uncontrolled Keywords: | Schrödinger egyenletek |
| Additional Information: | Bibliogr.: p. 26-28. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2023. Mar. 13. 12:32 |
| Last Modified: | 2023. Mar. 13. 12:32 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/78349 |
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