Szczegóły publikacji
Opis bibliograficzny
Planar Schrödinger-Choquard equations with potentials vanishing at infinity: the critical case / Liejun Shen, Vicenţiu D. RĂDULESCU, Minbo Yang // Journal of Differential Equations ; ISSN 0022-0396. — 2022 — vol. 329, s. 206–254. — Bibliogr. s. 253–254, Abstr. — Publikacja dostępna online od: 2022-05-11. — V. D. Rǎdulescu - dod. afiliacja: University of Craiova, Craiova, Romania
Autorzy (3)
- Shen Liejun
- AGHRǎdulescu Vicenţiu
- Yang Minbo
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 140606 |
|---|---|
| Data dodania do BaDAP | 2022-06-22 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2022.04.040 |
| Rok publikacji | 2022 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
We study the following class of stationary Schrödinger equations of Choquard type −Δu+V(x)u=[|x|−μ⁎(Q(x)F(u))]Q(x)f(u),x∈R2, where the potential V and the weight Q decay to zero at infinity like (1+|x|γ)−1 and (1+|x|β)−1 for some (γ,β) in variously different ranges, ⁎ denotes the convolution operator with μ∈(0,2), and F is the primitive of f that fulfills a critical exponential growth in the Trudinger-Moser sense. By establishing a version of the weighted Trudinger-Moser inequality, we investigate the existence of nontrivial solutions of mountain-pass type for the given problem. Furthermore, we shall establish that the nontrivial solution is a bound state, namely a solution belonging to H1(R2), for some particular (γ,β).