Szczegóły publikacji
Opis bibliograficzny
Planar Kirchhoff equations with critical exponential growth and trapping potential / Sitong Chen, Vicenţiu D. RĂDULESCU, Xianhua Tang, Lixi Wen // Mathematische Zeitschrift ; ISSN 0025-5874. — 2022 — vol. 302 iss. 2, s. 1061–1089. — Bibliogr. s. 1088-1089, Abstr. — Publikacja dostępna online od: 2022-08-12. — V. D. Rădulescu - dod. afiliacja: University of Craiova, Romania
Autorzy (4)
- Chen Sitong
- AGHRǎdulescu Vicenţiu
- Tang Xianhua
- Wen Lixi
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 145005 |
|---|---|
| Data dodania do BaDAP | 2023-01-31 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00209-022-03102-8 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Mathematische Zeitschrift |
Abstract
We are concerned with the following Kirchhoff equation: ⎧⎩⎨−(a+b∫R2|∇u|2dx)Δu+V(x)u=f(u),u∈H1(R2), in R2, where a,b are positive constants, V∈C(R2,(0,∞)) is a trapping potential, and f has critical exponential growth of Trudinger–Moser type. By developing some new analytical approaches and techniques, we prove the existence of nontrivial solutions and least energy solutions. Without any monotonicity conditions on f, we also give the mountain pass characterization of the least energy solution by constructing a fine path. In particular, we remove the common restriction on lim inft→+∞tf(t)eα0t2, which is crucial in the literature to overcome the loss of the compactness caused by the critical exponential nonlinearity. Our approach could be extended to other classes of critical exponential growth problems with trapping potentials.
