Szczegóły publikacji
Opis bibliograficzny
Normalized ground states for the critical fractional choquard equation with a local perturbation / Xiaoming He, Vicenţiu D. RǍDULESCU, Wenming Zou // The Journal of Geometric Analysis ; ISSN 1050-6926. — 2022 — vol. 32 iss. 10 art. no. 252, s. 1-51. — Bibliogr. s. 49-51, Abstr. — V. Rǎdulescu - dod. afiliacje: University of Craiova, Romania ; China-Romania Research Center in Applied Mathematics, Romania
Autorzy (3)
- He Xiaoming
- AGHRǎdulescu Vicenţiu
- Zou Wenming
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 141492 |
|---|---|
| Data dodania do BaDAP | 2022-09-02 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s12220-022-00980-6 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | The Journal of Geometric Analysis |
Abstract
In this paper, we study the critical fractional Choquard equation with a local perturbation (−Δ)su=λu+μ|u|q−2u+(Iα∗|u|2∗α,s)|u|2∗α,s−2u, x∈RN, having prescribed mass ∫RNu2dx=a2, where Iα(x) is the Riesz potential, s∈(0,1),N>2s,0<α<min{N,4s},2<q<2∗s=2NN−2s is the fractional critical Sobolev exponent, and 2∗α,s=2N−αN−2s is the fractional Hardy–Littlewood–Sobolev critical exponent, a>0, μ∈R.. Under some L2-subcritical, L2-critical and L2-supercritical perturbation μ|u|q−2u, respectively, we prove several existence and non-existence results. The qualitative behavior of the ground states as μ→0+ is also studied. The mathematical analysis carried out in this paper can be considered as a counterpart of the Brezis-Nirenberg problem in the context of normalized solutions for fractional Choquard equation. In this framework, several related results are extended and improved.