Szczegóły publikacji
Opis bibliograficzny
Concentration of normalized solutions for non-autonomous fractional Schrödinger equations / Quanqing Li, Vicenţiu D. RĂDULESCU, Jian Zhang, Wen Zhang // Zeitschrift für Angewandte Mathematik und Physik ; ISSN 0044-2275. — 2025 — vol. 76 iss. 4 art. no. 132, s. 1-29. — Bibliogr. s. 27-29, Abstr. — Publikacja dostępna online od: 2025-06-08. — V. D. Rǎdulescu - dod. afiliacje: Department of Mathematics University of Craiova; Simion Stoilow Institute of Mathematics of the Romanian Academy; Faculty of Electrical Engineering and Communication, Brno, Czech Republic; School of Mathematics Zhejiang Normal University, China
Autorzy (4)
- Li Quanqing
- AGHRǎdulescu Vicenţiu
- Zhang Jian
- Zhang Wen
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 162241 |
|---|---|
| Data dodania do BaDAP | 2025-09-11 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00033-025-02510-0 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Zeitschrift für Angewandte Mathematik und Physik |
Abstract
In the present paper, we investigate the existence, multiplicity and concentration of normalized solutions to the following fractional Schrodinger equation with potential {(-triangle)(s)u + V (epsilon x)u + lambda u = f(u), x is an element of R (N) , integral N- R |u| (2) dx = a (2) , where 0 < s < 1, N >= 2, a, epsilon > 0, V is an element of C(R (N) , R), lambda is an unknown parameter that will appear as a Lagrange multiplier, f is a mass subcritical and Sobolev subcritical nonlinearity. Under fairly general assumptions about f and a global condition about V , with the aid of minimization techniques and Ljusternik-Schnirelmann category theory, we study the relation between the numbers of normalized solutions and the topology of the set where the potential V attains its minimum value. In addition, we obtain the decay behavior of normalized solutions. Finally, by using of the cut-off technique we also consider the Sobolev supercritical case that has not been considered about the study of normalized solutions.
