Szczegóły publikacji
Opis bibliograficzny
Infinitely many radial positive solutions for nonlocal problems with lack of compactness / Fen Zhou, Zifei Shen, Vicenţiu D. RĂDULESCU // Electronic Journal of Qualitative Theory of Differential Equations [Dokument elektroniczny]. — Czasopismo elektroniczne ; ISSN 1417-3875. — 2021 — [art. no.] 33, s. 1–19. — Wymagania systemowe: Adobe Reader. — Bibliogr. s. 18–19, Abstr. — Publikacja dostępna online od: 2021-04-11. — V. D. Rădulescu - dod. afiliacja: University of Craiova, Romania
Autorzy (3)
- Zhou Fen
- Shen Zifei
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 134188 |
|---|---|
| Data dodania do BaDAP | 2021-05-19 |
| Tekst źródłowy | URL |
| DOI | 10.14232/ejqtde.2021.1.33 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Electronic Journal of Qualitative Theory of Differential Equations |
Abstract
We are concerned with the qualitative and asymptotic analysis of solutions to the nonlocal equation (-Delta)(s)u + V(vertical bar z vertical bar)u = Q(vertical bar z vertical bar)u(p) in R-N, where N >= 3, 0 < s < 1, and 1 < p < 2N/N-2s. As r -> infinity, we assume that the potentials V (r) and Q(r) behave as V (r) = V-0 + a(1)/r(alpha) + O (1/r(alpha+theta 1)) Q (r) = Q(0) + alpha(2)/r(beta) + O (1/r(beta+theta 2)) where a1, a2 is an element of R, alpha, beta > N +2s/N+2s+1, and theta(1), theta(2) > 0, V-0, Q(0) > 0. Under various hypotheses on a1, a2, alpha, beta, we establish the existence of infinitely many radial solutions. A key role in our arguments is played by the Lyapunov-Schmidt reduction method.
