Szczegóły publikacji
Opis bibliograficzny
Concentration phenomena for nonlinear magnetic Schrödinger equations with critical growth / Chao Ji, Vicenţiu D. RĂDULESCU // Israel Journal of Mathematics ; ISSN 0021-2172. — 2021 — vol. 241 iss. 1, s. 465–500. — Bibliogr. s. 498–500, Abstr. — Publikacja dostępna online od: 2021-02-16. — V. D. Rădulescu - dod. afiliacja: University of Craiova, Romania
Autorzy (2)
- Ji Chao
- AGHRǎdulescu Vicenţiu
Dane bibliometryczne
| ID BaDAP | 138434 |
|---|---|
| Data dodania do BaDAP | 2022-01-14 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s11856-021-2105-5 |
| Rok publikacji | 2021 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Israel Journal of Mathematics |
Abstract
In this paper, we are concerned with the following nonlinear magnetic Schrödinger equation with critical growth: {(εi∇−A(x))2u+V(x)u=f(|u|2)u+|u|2*−2uinℝN,u∈H1(ℝN,ℂ), where ∊ > 0 is a parameter, N ≥ 3 and 2*=2NN−2 is the Sobolev critical exponent, V: ℝN → ℝ and A: ℝN → ℝN are continuous potentials, f: ℝ → ℝ is a subcritical nonlinear term. Under a local assumption on the potential V, by the variational methods, the penalization technique and the Ljusternic—Schnirelmann theory, we prove the multiplicity and concentration of nontrivial solutions of the above problem for ε small. For the problem, the function f is only continuous, which allows to consider larger classes of nonlinearities in the reaction.