Szczegóły publikacji
Opis bibliograficzny
Fractional Kirchhoff problems with critical Trudinger–Moser nonlinearity / Xiang Mingqi, Vicenţiu D. RǍDULESCU, Binlin Zhang // Calculus of Variations and Partial Differential Equations ; ISSN 0944-2669. — 2019 — vol. 58 iss. 2 art. no. 57, s. 1–27. — Bibliogr. s. 25–27, Abstr. — Publikacja dostępna online od: 2019-02-26. — V. Rădulescu – dod. afiliacja: University of Craiova, Romania
Autorzy (3)
- Xiang Mingqi
- AGHRǎdulescu Vicenţiu
- Zhang Binlin
Dane bibliometryczne
| ID BaDAP | 120794 |
|---|---|
| Data dodania do BaDAP | 2019-06-07 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00526-019-1499-y |
| Rok publikacji | 2019 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Calculus of Variations and Partial Differential Equations |
Abstract
This paper is concerned with the existence of solutions for a class of fractional Kirchhoff-type problems with Trudinger-Moser nonlinearity:... M R2N | u(x) -u(y)| N/s | x -y| 2N dxdy (-) s N/su = f (x, u) in , u = 0 in RN \ , where (-) s N/s is the fractional N/s-Laplacian operator, N = 1, s. (0, 1), . RN is a bounded domain with Lipschitz boundary, M : R + 0. R + 0 is a continuous function, and f : x R. R is a continuous function behaving like exp(at2) as t. 8 for some a > 0. We first obtain the existence of a ground state solution with positive energy by using minimax techniques combined with the fractional Trudinger-Moser inequality. Next, the existence of nonnegative solutions with negative energy is established by using Ekeland's variational principle. The main feature of this paper consists in the presence of a (possibly degenerate) Kirchhoff model, combined with a critical Trudinger-Moser nonlinearity.