Qian Xiaotao and Chao Wen: Positive solutions for a Kirchhoff type problem with fast increasing weight and critical nonlinearity. (2019)
Preview |
Cikk, tanulmány, mű
ejqtde_2019_027.pdf Download (463kB) | Preview |
Abstract
In this paper, we study the following Kirchhoff type problem a + b Z R3 K(x)|∇u| 2 dx div(K(x)∇u) = λK(x)|x| |u| q−2u + K(x)|u| 4u, x ∈ R 3 where K(x) = exp(|x| α/4) with α ≥ 2, β = (α − 2)(6 − q)/4 and the parameters a, b, λ > 0. When 6 − 4 α < q < 6, we obtain a positive ground state solution for any λ > 0. When 2 < q < 4, we obtain a positive solution for λ > 0 small enough. In the proof we use variational methods.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 27 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-17 |
| DOI: | 10.14232/ejqtde.2019.1.27 |
| Uncontrolled Keywords: | Kirchhoff típusú egyenlet, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 15-17. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 31. 05:09 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58090 |
Actions (login required)
 |
View Item |
