Wang Tao and Guo Hui: Infinitely many solutions for nonhomogeneous Choquard equations. (2019)
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Abstract
In this paper, we study the following nonhomogeneous Choquard equation −∆u + V(x)u = (Iα ∗ |u| p )|u| p−2u + f(x), x ∈ R N, where N ≥ 3, α ∈ (0, N), p ∈ N+α N N+α N−2 , Iα denotes the Riesz potential and f 6= 0. By using a critical point theorem for non-even functionals, we prove the existence of infinitely many virtual critical points for two classes of potential V. To the best of our knowledge, this result seems to be the first one for nonhomogeneous Choquard equation on the existence of infinity many solutions.
| Item Type: | Journal |
|---|---|
| Publication full: | Electronic journal of qualitative theory of differential equations |
| Date: | 2019 |
| Number: | 24 |
| ISSN: | 1417-3875 |
| Page Range: | pp. 1-10 |
| DOI: | 10.14232/ejqtde.2019.1.24 |
| Uncontrolled Keywords: | Choquard egyenlet, Differenciálegyenlet |
| Additional Information: | Bibliogr.: p. 8-10. ; összefoglalás angol nyelven |
| Date Deposited: | 2019. May. 31. 05:23 |
| Last Modified: | 2021. Sep. 16. 10:42 |
| URI: | http://acta.bibl.u-szeged.hu/id/eprint/58093 |
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