Szczegóły publikacji
Opis bibliograficzny
Normalized solutions for (p,q)-Laplacian equations with mass supercritical growth / Li Cai, Vicenţiu D. RǍDULESCU // Journal of Differential Equations ; ISSN 0022-0396. — 2024 — vol. 391, s. 57–104. — Bibliogr. s. 103–104, Abstr. — Publikacja dostępna online od: 2024-02-06. — V. Rǎdulescu - dod. afiliacja: Brno University of Technology, Faculty of Electrical Engineering and Communication, Brno, Czech Republic; Department of Mathematics, University of Craiova, Craiova, Romania; ”Simion Stoilow” Institute of Mathematics, Bucharest, Romania; School of Mathematics, Zhejiang Normal University, Jinhua, Zhejiang, China
Autorzy (2)
- Cai Li
- AGHRǎdulescu Vicenţiu
Słowa kluczowe
Dane bibliometryczne
| ID BaDAP | 152162 |
|---|---|
| Data dodania do BaDAP | 2024-04-09 |
| Tekst źródłowy | URL |
| DOI | 10.1016/j.jde.2024.01.041 |
| Rok publikacji | 2024 |
| Typ publikacji | artykuł w czasopiśmie |
| Otwarty dostęp |  |
| Czasopismo/seria | Journal of Differential Equations |
Abstract
In this paper, we study the following (p,q)-Laplacian equation with Lp-constraint: {−Δpu−Δqu+λ|u|p−2u=f(u),inRN,∫R|u|pdx=cp,u∈W1,p(RN)∩W1,q(RN), where 1<p<q<N, Δi=div(|∇u|i−2∇u), with i∈{p,q}, is the i-Laplacian operator, λ is a Lagrange multiplier and c>0 is a constant. The nonlinearity f is assumed to be continuous and satisfying weak mass supercritical conditions. The purpose of this paper is twofold: to establish the existence of ground states, and to reveal the basic behavior of the ground state energy Ec as c>0 varies. Moreover, we introduce a new approach based on the direct minimization of the energy functional on the linear combination of Nehari and Pohozaev constraints intersected with the closed ball of radius cp in Lp(RN). The analysis developed in this paper allows to provide the general growth assumptions imposed to the reaction f.