A planar Schrödinger–Newton system with Trudinger–Moser critical growth

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Main Authors: Zhisu, Liu, Vicenţiu D., Rădulescu, Jianjun, Zhang
Format: Book
Language:English
Published: Springer 2023
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Online Access:https://link.springer.com/article/10.1007/s00526-023-02463-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7602
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spelling oai:localhost:PNK-76022023-04-06T01:51:37Z A planar Schrödinger–Newton system with Trudinger–Moser critical growth Zhisu, Liu Vicenţiu D., Rădulescu Jianjun, Zhang Riesz-type of Schrödinger–Newton systems logarithmic-type of Schrödinger–Poisson systems CC BY The analysis developed in this paper also allows to investigate the relation between a Riesz-type of Schrödinger–Newton systems and a logarithmic-type of Schrödinger–Poisson systems. Furthermore, this approach can overcome some difficulties resulting from either the nonlocal term with sign-changing and unbounded logarithmic integral kernel, or the critical nonlinearity, or the lack of monotonicity of f(t)t3. We emphasize that it seems much difficult to use the variational framework developed in the existed literature to study the above problem. 2023-04-06T01:51:37Z 2023-04-06T01:51:37Z 2023 Book https://link.springer.com/article/10.1007/s00526-023-02463-0 https://dlib.phenikaa-uni.edu.vn/handle/PNK/7602 en application/pdf Springer
institution Digital Phenikaa
collection Digital Phenikaa
language English
topic Riesz-type of Schrödinger–Newton systems
logarithmic-type of Schrödinger–Poisson systems
spellingShingle Riesz-type of Schrödinger–Newton systems
logarithmic-type of Schrödinger–Poisson systems
Zhisu, Liu
Vicenţiu D., Rădulescu
Jianjun, Zhang
A planar Schrödinger–Newton system with Trudinger–Moser critical growth
description CC BY
format Book
author Zhisu, Liu
Vicenţiu D., Rădulescu
Jianjun, Zhang
author_facet Zhisu, Liu
Vicenţiu D., Rădulescu
Jianjun, Zhang
author_sort Zhisu, Liu
title A planar Schrödinger–Newton system with Trudinger–Moser critical growth
title_short A planar Schrödinger–Newton system with Trudinger–Moser critical growth
title_full A planar Schrödinger–Newton system with Trudinger–Moser critical growth
title_fullStr A planar Schrödinger–Newton system with Trudinger–Moser critical growth
title_full_unstemmed A planar Schrödinger–Newton system with Trudinger–Moser critical growth
title_sort planar schrödinger–newton system with trudinger–moser critical growth
publisher Springer
publishDate 2023
url https://link.springer.com/article/10.1007/s00526-023-02463-0
https://dlib.phenikaa-uni.edu.vn/handle/PNK/7602
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score 8.891145