Asymptotic behavior of the ground-state solutions of Lane–Emden system

Yuxia Guo; Yichen Hu; Shaolong Peng; Tingfeng Yuan

doi:10.1112/blms.13181

Asymptotic behavior of the ground-state solutions of Lane–Emden system

Yuxia Guo
, Yichen Hu^*
, Shaolong Peng
, Tingfeng Yuan

^*Corresponding author for this work

Tsinghua University
Dalian University of Technology
CAS - Academy of Mathematics and System Sciences

Research output: Contribution to journal › Article › peer-review

2 Scopus citations

Abstract

In this paper, we consider the following Lane–Emden system: (Formula presented.) where (Formula presented.), (Formula presented.) and (Formula presented.) belongs to the critical hyperbola (Formula presented.) We derive the asymptotic behavior of the ground-state solutions of the above Lane–Emden system.

Original language	English
Pages (from-to)	1-15
Number of pages	15
Journal	Bulletin of the London Mathematical Society
Volume	57
Issue number	1
DOIs	https://doi.org/10.1112/blms.13181
State	Published - Jan 2025
Externally published	Yes

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title = "Asymptotic behavior of the ground-state solutions of Lane–Emden system",

abstract = "In this paper, we consider the following Lane–Emden system: (Formula presented.) where (Formula presented.), (Formula presented.) and (Formula presented.) belongs to the critical hyperbola (Formula presented.) We derive the asymptotic behavior of the ground-state solutions of the above Lane–Emden system.",

author = "Yuxia Guo and Yichen Hu and Shaolong Peng and Tingfeng Yuan",

note = "Publisher Copyright: {\textcopyright} 2024 The Author(s). Bulletin of the London Mathematical Society is copyright {\textcopyright} London Mathematical Society.",

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AU - Guo, Yuxia

AU - Hu, Yichen

AU - Peng, Shaolong

AU - Yuan, Tingfeng

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N2 - In this paper, we consider the following Lane–Emden system: (Formula presented.) where (Formula presented.), (Formula presented.) and (Formula presented.) belongs to the critical hyperbola (Formula presented.) We derive the asymptotic behavior of the ground-state solutions of the above Lane–Emden system.

AB - In this paper, we consider the following Lane–Emden system: (Formula presented.) where (Formula presented.), (Formula presented.) and (Formula presented.) belongs to the critical hyperbola (Formula presented.) We derive the asymptotic behavior of the ground-state solutions of the above Lane–Emden system.

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U2 - 10.1112/blms.13181

DO - 10.1112/blms.13181

M3 - 文章

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SP - 1

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JF - Bulletin of the London Mathematical Society

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ER -

Asymptotic behavior of the ground-state solutions of Lane–Emden system

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