Szczegóły publikacji
Opis bibliograficzny
Normalized solutions for lower critical Choquard equations with critical Sobolev perturbation / Shuai Yao, Haibo Chen, Vicenţiu D. RĂDULESCU, Juntao Sun // SIAM Journal on Mathematical Analysis ; ISSN 0036-1410. — 2022 — vol. 54 iss. 3, s. 3696–3723. — Bibliogr., Abstr. — Publikacja dostępna online od: 2022-07-23. — V. D. Rădulescu - dod. afiliacja: University of Craiova, Craiova, Romania
Autorzy (4)
- Yao Shuai
- Chen Haibo
- AGHRǎdulescu Vicenţiu
- Sun Juntao
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 141369 |
|---|---|
| Data dodania do BaDAP | 2022-08-29 |
| Tekst źródłowy | URL |
| DOI | 10.1137/21M1463136 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | SIAM Journal on Mathematical Analysis |
Abstract
We study normalized solutions for the following Choquard equations with lower critical exponent and a local perturbation -Delta u + lambda u = gamma(I-alpha*vertical bar u vertical bar (alpha/N+1))vertical bar u vertical bar(alpha/N-1)u + mu vertical bar u vertical bar(q) (2)u in R-N, integral(RN) vertical bar u vertical bar(2)dx = c(2), where gamma, mu, c are given positive numbers and 2 < q <= 2N/N - 2. The frequency lambda appears as a real Lagrange parameter and is part of the unknowns. By introducing new arguments and under different assumptions on q, c, gamma, and mu, we prove several nonexistence and existence results. In particular, we consider the case q = 2N/N - 2, which corresponds to equations involving double critical exponents. We also describe some qualitative properties of the solutions with prescribed mass and of the associated Lagrange multipliers lambda.
