A planar Schrödinger–Newton system with Trudinger–Moser critical growth
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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 |
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Digital Phenikaa |
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Digital Phenikaa |
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English |
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Riesz-type of Schrödinger–Newton systems logarithmic-type of Schrödinger–Poisson systems |
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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 |
_version_ |
1762456090940801024 |
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8.889492 |