Szczegóły publikacji
Opis bibliograficzny
Solutions with prescribed mass for the p-Laplacian Schrödinger-Poisson system with critical growth / Kai Liu, Xiaoming He, Vicenţiu D. RĂDULESCU // Journal of Differential Equations ; ISSN 0022-0396 . — 2025 — vol. 444 art. no. 113570, s. 1-51. — Bibliogr. s. 49-51, Abstr. — Publikacja dostępna online od: 2025-06-27. — V. D. Rǎdulescu - dod. afiliacje: University of Craiova, Craiova, Romania; Brno University of Technology, Czech Republic; “Simion Stoilow” Institute of Mathematics of the Romanian Academy, Bucharest, Romania; School of Mathematics, Zhejiang Normal University, Jinhua, China
Autorzy (3)
- Liu Kai
- He Xiaoming
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 162225 |
|---|---|
| Data dodania do BaDAP | 2025-09-11 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2025.113570 |
| Rok publikacji | 2025 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Creative Commons | |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
In this paper, we focus on the existence and multiplicity of solutions for the p-Laplacian Schrodinger-Poisson system {-Delta(p)u+gamma phi|u|(p-2)u = lambda |u|(p-2)u+mu|u|(q-2)u+|u|(p*-2) u, in R-3, -Delta phi =|u|(p), in R-3, with a prescribed mass given by integral (R3) |u|(p)dx = a(p), in the Sobolev critical case, where, 1 < p < 3, a > 0, and gamma > 0, mu > 0 are parameters, p* = 3p/3-p is the Sobolev critical exponent, and lambda is an element of R is an undetermined parameter, acting as a Lagrange multiplier. We investigate this system under the L-p-subcritical perturbation mu|u|(q-2)u, with q is an element of (p, p + p(2)/3), and establish the existence of multiple normalized solutions using the truncation technique, concentration-compactness principle, and genus theory. In the L-p-supercritical regime: q is an element of (p+p(2)/3 ,p*), we prove two existence results for normalized solutions under different assumptions for the parameters gamma,mu, by employing the Pohozaev manifold analysis, concentration-compactness principle and mountain pass theorem. This study presents new contributions regarding the existence and multiplicity of normalized solutions of the p-Laplacian critical Schrodinger-Poisson problem, perturbed with a subcritical term in the whole space R-3, for the first time.
