Szczegóły publikacji
Opis bibliograficzny
Multi-bump solutions for a Schrödinger equation with prescribed $L^{2}$-norm via a fixed point approach / Mengfei Tao, Krzysztof BIEŃ, Binlin Zhang // Bulletin of Mathematical Sciences ; ISSN 1664-3607 . — 2025 — vol. 15 no. 3 art. no. 2550010, s. 2550010-1–2550010-27. — Bibliogr. s. 2550010-26–2550010-27, Abstr. — Publikacja dostępna online od: 2025-07-01
Autorzy (3)
- Tao Mengfei
- AGHBień Krzysztof
- Zhang Binlin
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 166233 |
|---|---|
| Data dodania do BaDAP | 2026-03-12 |
| Tekst źródłowy | URL |
| DOI | 10.1142/S1664360725500109 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Bulletin of Mathematical Sciences |
Abstract
This paper focuses on investigating the existence of multi-bump solutions for the following non-homogeneous Schrödinger equation with prescribed L2-norm in ℝN (Formula presented), where λ, η>0, V(x), Z(x):ℝN→ℝ are viewed as a potential functions, h≢0 belongs to the dual of our working space and the f is considered a continuous function that satisfies exponential critical growth when N=2 and subcritical growth when N≥3. We consider that function V(x) has a potential well int V−1(0) consisting of k isolated connected components. Instead of using variational methods, we adopt a modified fixed point theorem to investigate the problem. Specifically, for λ>0 sufficiently large, this approach establishes the existence of at least 2k−1 multi-bump positive solutions for the above equation.
