Szczegóły publikacji
Opis bibliograficzny
Multi-bump solutions for the nonlinear magnetic Schrödinger equation with exponential critical growth in $\mathbb{R}^{2}$ / Chao Ji, Vicenţiu D. RǍDULESCU // Manuscripta Mathematica ; ISSN 0025-2611. — 2021 — vol. 164 iss. 3–4, s. 509–542. — Bibliogr. s. 540–542, Abstr. — Publikacja dostępna online od: 2020-03-30. — V. Rădulescu - dod. afiliacja: University of Craiova, Romania ; King Abdulaziz University, Saudi Arabia
Autorzy (2)
- Ji Chao
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 128378 |
|---|---|
| Data dodania do BaDAP | 2021-10-12 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00229-020-01195-1 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Manuscripta Mathematica |
Abstract
In this paper, using variational methods, we establish the existence and multiplicity of multi-bump solutions for the following nonlinear magnetic Schrödinger equation -(∇+iA(x))2u+(λV(x)+Z(x))u=f(|u|2)uinR2,where λ> 0 , f(t) is a continuous function with exponential critical growth, the magnetic potential A: R2→ R2 is in Lloc2(R2) and the potentials V, Z: R2→ R are continuous functions verifying some natural conditions. We show that if the zero set of the potential V has several isolated connected components Ω 1, … , Ω k such that the interior of Ω j is non-empty and ∂Ω j is smooth, then for λ> 0 large enough, the equation has at least 2 k- 1 multi-bump solutions. © 2020, The Author(s).