Non-degeneracy of solution for critical Lane–Emden systems with linear perturbation

Yuxia Guo; Yichen Hu; Shaolong Peng

doi:10.1007/s00526-024-02695-8

Non-degeneracy of solution for critical Lane–Emden systems with linear perturbation

Yuxia Guo
, Yichen Hu
, Shaolong Peng^*

^*此作品的通讯作者

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

科研成果: 期刊稿件 › 文章 › 同行评审

4 引用（Scopus）

摘要

In this paper, we consider the following elliptic system (Formula presented.) where Ω is a smooth bounded domain in R^N, N≥3, ϵ is a small parameter, α, β₁ and β₂ are real numbers, (p, q) is a pair of positive numbers lying on the critical hyperbola (Formula presented.) We first revisited the blowing-up solutions constructed in Kim and Pistoia (J Funct Anal 281(2):58, 2021) and then we proved its non-degeneracy. We believe that the various new ideas and technique computations that we used in this paper would be very useful to deal with other related problems involving critical Halmitonian system and the construction of new solutions.

源语言	英语
文章编号	98
期刊	Calculus of Variations and Partial Differential Equations
卷	63
期	4
DOI	https://doi.org/10.1007/s00526-024-02695-8
出版状态	已出版 - 5月 2024
已对外发布	是

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abstract = "In this paper, we consider the following elliptic system (Formula presented.) where Ω is a smooth bounded domain in RN, N≥3, ϵ is a small parameter, α, β1 and β2 are real numbers, (p, q) is a pair of positive numbers lying on the critical hyperbola (Formula presented.) We first revisited the blowing-up solutions constructed in Kim and Pistoia (J Funct Anal 281(2):58, 2021) and then we proved its non-degeneracy. We believe that the various new ideas and technique computations that we used in this paper would be very useful to deal with other related problems involving critical Halmitonian system and the construction of new solutions.",

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

note = "Publisher Copyright: {\textcopyright} The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.",

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T1 - Non-degeneracy of solution for critical Lane–Emden systems with linear perturbation

AU - Guo, Yuxia

AU - Hu, Yichen

AU - Peng, Shaolong

N1 - Publisher Copyright: © The Author(s), under exclusive licence to Springer-Verlag GmbH Germany, part of Springer Nature 2024.

PY - 2024/5

Y1 - 2024/5

N2 - In this paper, we consider the following elliptic system (Formula presented.) where Ω is a smooth bounded domain in RN, N≥3, ϵ is a small parameter, α, β1 and β2 are real numbers, (p, q) is a pair of positive numbers lying on the critical hyperbola (Formula presented.) We first revisited the blowing-up solutions constructed in Kim and Pistoia (J Funct Anal 281(2):58, 2021) and then we proved its non-degeneracy. We believe that the various new ideas and technique computations that we used in this paper would be very useful to deal with other related problems involving critical Halmitonian system and the construction of new solutions.

AB - In this paper, we consider the following elliptic system (Formula presented.) where Ω is a smooth bounded domain in RN, N≥3, ϵ is a small parameter, α, β1 and β2 are real numbers, (p, q) is a pair of positive numbers lying on the critical hyperbola (Formula presented.) We first revisited the blowing-up solutions constructed in Kim and Pistoia (J Funct Anal 281(2):58, 2021) and then we proved its non-degeneracy. We believe that the various new ideas and technique computations that we used in this paper would be very useful to deal with other related problems involving critical Halmitonian system and the construction of new solutions.

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JO - Calculus of Variations and Partial Differential Equations

JF - Calculus of Variations and Partial Differential Equations

IS - 4

M1 - 98

ER -

Non-degeneracy of solution for critical Lane–Emden systems with linear perturbation

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