Szczegóły publikacji
Opis bibliograficzny
Construction of infinitely many solutions for two-component Bose-Einstein condensates with nonlocal critical interaction / Weiwei Ye, Fashun Gao, Vicentiu D. RǍDULESCU, Minbo Yang // Journal of Differential Equations ; ISSN 0022-0396. — 2023 — vol. 375, s. 415–474. — Bibliogr. s. 473–474, Abstr. — Publikacja dostępna online od: 2023-08-30. — V. D. Rădulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania; China-Romania Research Center in Applied Mathematics, Romania
Autorzy (4)
- Ye Weiwei
- Gao Fashun
- AGHRǎdulescu Vicenţiu
- Yang Minbo
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 150458 |
|---|---|
| Data dodania do BaDAP | 2023-12-16 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2023.08.021 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
In this paper, we deal with the coupled Hartree system with axisymmetric potentials, {−Δu+P(|x′|,x″)u=α1(|x|−4⁎u2)u+β(|x|−4⁎v2)uinR6,−Δv+Q(|x′|,x″)v=α2(|x|−4⁎v2)v+β(|x|−4⁎u2)vinR6, where (x′,x″)∈R2×R4, β>max{α1,α2}≥min{α1,α2}>0, P(|x′|,x″) and Q(|x′|,x″) are bounded nonnegative functions in R+×R4. The system is critical in the sense of the Hardy-Littlewood-Sobolev inequality. When the functions r2P(r,x″) and r2Q(r,x″) have a common topologically nontrivial critical point, using a finite dimensional reduction argument and developing new local Pohožaev identities, we construct infinitely many solutions of synchronized type, whose energy can be made arbitrary large. The main difficulty is caused by the non-local terms, since little is known about the nondegeneracy of the positive solutions of the limit system and the error estimates of the nonlocal parts in applying the reduction arguments and establishing the local Pohožaev identities. © 2023 Elsevier Inc.
