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...

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Main Authors:	Min Liu, Jiu Liu
Format:	article
Language:	EN
Published:	Hindawi Limited 2021
Subjects:	Mathematics QA1-939
Online Access:	https://doaj.org/article/6e5819d95d7f4f3587c6151d55206aee
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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

Ground State Solution for an Autonomous Nonlinear Schrödinger System

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