Szczegóły publikacji
Opis bibliograficzny
Multiplicity and concentration of solutions to the nonlinear magnetic Schrödinger equation / Chao Ji, Vicenţiu D. RǍDULESCU // Calculus of Variations and Partial Differential Equations ; ISSN 0944-2669. — 2020 — vol. 59 iss. 4 art. no. 115, s. 1-28. — Bibliogr. s. 27-28, Abstr. — Publikacja dostępna online od: 2020-06-17. — V. Rǎdulescu – dod. afiliacje: University of Craiova, Romania ; University of Electronic Science and Technology of China
Autorzy (2)
- Ji Chao
- AGHRǎdulescu Vicenţiu
Dane bibliometryczne
| ID BaDAP | 129255 |
|---|---|
| Data dodania do BaDAP | 2020-07-14 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00526-020-01772-y |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Calculus of Variations and Partial Differential Equations |
Abstract
In this paper, we study the following nonlinear magnetic Schrödinger equation {(εi∇-A(x))2u+V(x)u=f(|u|2)uinRN(N≥2),u∈H1(RN,C),where ϵ is a positive parameter, and V: RN→ R, A: RN→ RN are continuous potentials. Under a local assumption on the potential V, by combining variational methods, penalization techniques, and the Ljusternik–Schnirelmann theory, we prove multiplicity and concentration properties of solutions for ε> 0 small. In our problem, the function f is only continuous, which allows to consider larger classes of nonlinearities in the reaction. © 2020, The Author(s).
