Szczegóły publikacji
Opis bibliograficzny
Small perturbations for nonlinear Schrödinger equations with magnetic potential / Youpei Zhang, Xianhua Tang, Vicenţiu D. RǍDULESCU // Milan Journal of Mathematics ; ISSN 1424-9286. — 2020 — vol. 88 iss. 2, s. 479–506. — Bibliogr. s. 504–506, Abstr. — Publikacja dostępna online od: 2020-10-29. — V. Rădulescu - dod. afiliacja: Department of Mathematics, University of Craiova, Romania
Autorzy (3)
- Zhang Youpei
- Tang Xianhua
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 131458 |
|---|---|
| Data dodania do BaDAP | 2020-12-14 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00032-020-00322-7 |
| Rok publikacji | 2020 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Milan Journal of Mathematics |
Abstract
We are concerned with the qualitative analysis of solutions for three classes of nonlinear problems driven by the magnetic Laplace operator. We are mainly interested in the perturbation effects created by two reaction terms with different structure. Two equations are studied on bounded domains (under Dirichlet boundary condition) while the third problem is on the entire Euclidean space. Our main results establish that if a certain perturbation is sufficiently small (in a prescribed sense) then the problems have at least two distinct solutions in a related magnetic Sobolev space. The proofs combine variational, topological and analytic methods.