Ground State Solution for an Autonomous Nonlinear Schrödinger System

In this paper, we study the following autonomous nonlinear Schrödinger system (discussed in the paper), where λ,μ, and ν are positive parameters; 2∗=2N/N−2 is the critical Sobolev exponent; and f satisfies general subcritical growth conditions. With the help of the Pohožaev manifold, a ground state...

Descripción completa

Guardado en:
Detalles Bibliográficos
Autores principales: Min Liu, Jiu Liu
Formato: article
Lenguaje:EN
Publicado: Hindawi Limited 2021
Materias:
Acceso en línea:https://doaj.org/article/6e5819d95d7f4f3587c6151d55206aee
Etiquetas: Agregar Etiqueta
Sin Etiquetas, Sea el primero en etiquetar este registro!
id oai:doaj.org-article:6e5819d95d7f4f3587c6151d55206aee
record_format dspace
spelling oai:doaj.org-article:6e5819d95d7f4f3587c6151d55206aee2021-11-08T02:35:41ZGround State Solution for an Autonomous Nonlinear Schrödinger System2314-888810.1155/2021/1003941https://doaj.org/article/6e5819d95d7f4f3587c6151d55206aee2021-01-01T00:00:00Zhttp://dx.doi.org/10.1155/2021/1003941https://doaj.org/toc/2314-8888In this paper, we study the following autonomous nonlinear Schrödinger system (discussed in the paper), where λ,μ, and ν are positive parameters; 2∗=2N/N−2 is the critical Sobolev exponent; and f satisfies general subcritical growth conditions. With the help of the Pohožaev manifold, a ground state solution is obtained.Min LiuJiu LiuHindawi LimitedarticleMathematicsQA1-939ENJournal of Function Spaces, Vol 2021 (2021)
institution DOAJ
collection DOAJ
language EN
topic Mathematics
QA1-939
spellingShingle Mathematics
QA1-939
Min Liu
Jiu Liu
Ground State Solution for an Autonomous Nonlinear Schrödinger System
description In this paper, we study the following autonomous nonlinear Schrödinger system (discussed in the paper), where λ,μ, and ν are positive parameters; 2∗=2N/N−2 is the critical Sobolev exponent; and f satisfies general subcritical growth conditions. With the help of the Pohožaev manifold, a ground state solution is obtained.
format article
author Min Liu
Jiu Liu
author_facet Min Liu
Jiu Liu
author_sort Min Liu
title Ground State Solution for an Autonomous Nonlinear Schrödinger System
title_short Ground State Solution for an Autonomous Nonlinear Schrödinger System
title_full Ground State Solution for an Autonomous Nonlinear Schrödinger System
title_fullStr Ground State Solution for an Autonomous Nonlinear Schrödinger System
title_full_unstemmed Ground State Solution for an Autonomous Nonlinear Schrödinger System
title_sort ground state solution for an autonomous nonlinear schrödinger system
publisher Hindawi Limited
publishDate 2021
url https://doaj.org/article/6e5819d95d7f4f3587c6151d55206aee
work_keys_str_mv AT minliu groundstatesolutionforanautonomousnonlinearschrodingersystem
AT jiuliu groundstatesolutionforanautonomousnonlinearschrodingersystem
_version_ 1718443194404831232