Szczegóły publikacji
Opis bibliograficzny
A planar Schrödinger-Newton system with Trudinger-Moser critical growth / Zhisu Liu, Vicenţiu D. RĂDULESCU, Jianjun Zhang // Calculus of Variations and Partial Differential Equations ; ISSN 0944-2669. — 2023 — vol. 62 iss. 4 art. no. 122, s. 1–31. — Bibliogr. s. 29–31, Abstr. — Publikacja dostępna online od: 2023-03-20. — V. D. Rǎdulescu - dod. afiliacje: Brno University of Technology, Brno, Czech Republic ; University of Craiova, Romania ; Simion Stoilow Institute of Mathematics of the Romanian Academy, Bucharest, Romania
Autorzy (3)
- Liu Zhisu
- AGHRǎdulescu Vicenţiu
- Zhang Jianjun
Dane bibliometryczne
| ID BaDAP | 146664 |
|---|---|
| Data dodania do BaDAP | 2023-06-07 |
| Tekst źródłowy | URL |
| DOI | 10.1007/s00526-023-02463-0 |
| Rok publikacji | 2023 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Calculus of Variations and Partial Differential Equations |
Abstract
In this paper, we focus on the existence of positive solutions to the following planar Schrödinger–Newton system with general critical exponential growth {-Δu+u+ϕu=f(u)inR2,Δϕ=u2inR2,where f∈ C1(R, R). We apply a variational approach developed in [36] to study the above problem in the Sobolev space H1(R2). The analysis developed in this paper also allows to investigate the relation between a Riesz-type of Schrödinger–Newton systems and a logarithmic-type of Schrödinger–Poisson systems. Furthermore, this approach can overcome some difficulties resulting from either the nonlocal term with sign-changing and unbounded logarithmic integral kernel, or the critical nonlinearity, or the lack of monotonicity of f(t)t3. We emphasize that it seems much difficult to use the variational framework developed in the existed literature to study the above problem.