Yu Shubin and Zhang Ziheng and Yuan Rong: Sign-changing solutions for a Schrödinger-Kirchhoff-Poisson system with 4-sublinear growth nonlinearity. (2021)
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Abstract
In this paper we consider the following Schrödinger–Kirchhoff–Poisson-type system where Ω is a bounded smooth domain of R3 , a > 0, b ≥ 0 are constants and λ is a positive parameter. Under suitable conditions on Q(x) and combining the method of invariant sets of descending flow, we establish the existence and multiplicity of signchanging solutions to this problem for the case that 2 < p < 4 as λ sufficiently small. Furthermore, for λ = 1 and the above assumptions on Q(x), we obtain the same conclusions with 2 < p < 12 5.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2021 |
| Number: | 86 |
| ISSN: | 1417-3875 |
| Number of Pages: | 21 |
| Language: | English |
| Place of Publication: | Szeged |
| DOI: | 10.14232/ejqtde.2021.1.86 |
| Uncontrolled Keywords: | Differenciálegyenlet, Schrödinger-Kirchhoff-Poisson rendszer |
| Additional Information: | Bibliogr.: p. 18-21. ; összefoglalás angol nyelven |
| Subjects: | 01. Natural sciences 01. Natural sciences > 01.01. Mathematics |
| Date Deposited: | 2022. May. 23. 12:41 |
| Last Modified: | 2022. May. 23. 13:15 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/75807 |
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