Szczegóły publikacji
Opis bibliograficzny
Critical Stein–Weiss elliptic systems: symmetry, regularity and asymptotic properties of solutions / Minbo Yang, Vicenţiu D. RǍDULESCU, Xianmei Zhou // Calculus of Variations and Partial Differential Equations ; ISSN 0944-2669. — 2022 — vol. 61 iss. 3 art. no. 109, s. 1–38. — Bibliogr. s. 37–38, Abstr. — Publikacja dostępna online od: 2022-04-15. — V. Rǎdulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania; China-Romania Research Center in Applied Mathematics, Craiova, Romania
Autorzy (3)
- Yang Minbo
- AGHRǎdulescu Vicenţiu
- Zhou Xianmei
Dane bibliometryczne
| ID BaDAP | 140072 |
|---|---|
| Data dodania do BaDAP | 2022-05-10 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00526-022-02221-8 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Calculus of Variations and Partial Differential Equations |
Abstract
In this paper, we study the following weighted nonlocal system with critical exponents related to the Stein-Weiss inequality {-Delta u = 1/vertical bar x vertical bar(alpha) (integral(RN) v(p)(y)/vertical bar x - y vertical bar(mu)vertical bar y vertical bar(alpha) dy) u(q), Delta v = 1/vertical bar x vertical bar(alpha) (integral(RN) u(q) (y)/vertical bar x - y vertical bar(mu)vertical bar y vertical bar(alpha) dy) v(p), By using moving plane arguments in integral form, we obtain symmetry, regularity and asymptotic properties, as well as sufficient conditions for the nonexistence of solutions to the nonlocal Stein-Weiss system.
