Szczegóły publikacji
Opis bibliograficzny
Multiplicity and concentration of solutions for Kirchhoff equations with magnetic field / Chao Ji, Vicenţiu D. RĂDULESCU // Advanced Nonlinear Studies ; ISSN 1536-1365. — 2021 — vol. 21 iss. 3, s. 501–521. — Bibliogr., Abstr. — Publikacja dostępna online od: 2021-05-18
Autorzy (2)
- Ji Chao
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 136095 |
|---|---|
| Data dodania do BaDAP | 2021-09-25 |
| DOI | 10.1515/ans-2021-2130 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Advanced Nonlinear Studies |
Abstract
In this paper, we study the following nonlinear magnetic Kirchhoff equation: integral -(a epsilon(2) + b epsilon[u](A/epsilon)(2))Delta(A/epsilon)u + V(x)u = f(vertical bar u vertical bar(2))u in R-3, u epsilon H-1(R-3, C), where epsilon > 0, a, b > 0 are constants, V : R-3 -> R and A : R-3 -> R-3 are continuous potentials, and Delta(A)u is the magnetic Laplace operator. Under a local assumption on the potential V, by combining variational methods, a penalization technique and the Ljusternik-Schnirelmann theory, we prove multiplicity properties of solutions and concentration phenomena for epsilon small. In this problem, the function f is only continuous, which allows to consider larger classes of nonlinearities in the reaction.
