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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Hindawi Limited
2021
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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) |
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Mathematics QA1-939 |
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Mathematics QA1-939 Min Liu Jiu Liu Ground State Solution for an Autonomous Nonlinear Schrödinger System |
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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 |