Szczegóły publikacji
Opis bibliograficzny
Concentration phenomena for magnetic Kirchhoff equations with critical growth / Chao Ji, Vicenţiu D. RǍDULESCU // Discrete and Continuous Dynamical Systems. Series A ; ISSN 1078-0947. — 2021 — vol. 41 iss. 12, s. 5551-5577. — Bibliogr. s. 5576-5577, Abstr. — V. D. Rǎdulescu - dod. afiliacja: University of Craiova, Romania
Autorzy (2)
- Ji Chao
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 137632 |
|---|---|
| Data dodania do BaDAP | 2021-11-23 |
| Tekst źródłowy | URL |
| DOI | 10.3934/dcds.2021088 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Discrete and Continuous Dynamical Systems, Series A |
Abstract
In this paper, we study the following nonlinear magnetic Kirchhoff equation with critical growth { - (a epsilon(2) + b epsilon[u](A/epsilon)(2))Delta(A/epsilon)u + V(x)u = f(vertical bar u vertical bar(2))u + vertical bar u vertical bar(4)u in R-3, u is an element of H-1(R-3, C), where epsilon > 0 is a parameter, a, b > 0 are constants, V : R-3 -> R and A : R-3 -> R-3 are continuous potentials, and f : R -> R is a nonlinear term with subcritical growth. Under a local assumption on the potential V, combining variational methods, penalization techniques and the Ljusternik-Schnirelmann theory, we establish multiplicity and concentration properties of solutions to the above problem for epsilon small. A feature of this paper is that the function f is assumed to be only continuous, which allows to consider larger classes of nonlinearities in the reaction.