Infinitely many solutions for nonhomogeneous Choquard equations
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 i...
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| Dokumentumtípus: | Folyóirat |
| Megjelent: |
2019
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| Sorozat: | Electronic journal of qualitative theory of differential equations
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| Kulcsszavak: | Choquard egyenlet, Differenciálegyenlet |
| doi: | 10.14232/ejqtde.2019.1.24 |
| Online Access: | http://acta.bibl.u-szeged.hu/58093 |
| LEADER | 01295nas a2200217 i 4500 | ||
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| 008 | 190531s2019 hu o 000 eng d | ||
| 022 | |a 1417-3875 | ||
| 024 | 7 | |a 10.14232/ejqtde.2019.1.24 |2 doi | |
| 040 | |a SZTE Egyetemi Kiadványok Repozitórium |b hun | ||
| 041 | |a eng | ||
| 100 | 1 | |a Wang Tao | |
| 245 | 1 | 0 | |a Infinitely many solutions for nonhomogeneous Choquard equations |h [elektronikus dokumentum] / |c Wang Tao |
| 260 | |c 2019 | ||
| 300 | |a 1-10 | ||
| 490 | 0 | |a Electronic journal of qualitative theory of differential equations | |
| 520 | 3 | |a 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. | |
| 695 | |a Choquard egyenlet, Differenciálegyenlet | ||
| 700 | 0 | 1 | |a Guo Hui |e aut |
| 856 | 4 | 0 | |u http://acta.bibl.u-szeged.hu/58093/1/ejqtde_2019_024.pdf |z Dokumentum-elérés |