Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system

Jann Long Chern; Zhi You Chen; Yong Li Tang; Chang Shou Lin

doi:10.1016/j.jde.2009.01.005

Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system

Jann Long Chern^*, Zhi You Chen, Yong Li Tang, Chang Shou Lin

^*Corresponding author for this work

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

11 Citations (Scopus)

Abstract

In this paper, we consider the Dirichlet problem for an elliptic system on a ball in R². By investigating the properties for the corresponding linearized equations of solutions, and adopting the Pohozaev identity and Implicit Function Theorem, we show the uniqueness and the structure of solutions.

Original language	English
Pages (from-to)	3704-3714
Number of pages	11
Journal	Journal of Differential Equations
Volume	246
Issue number	9
DOIs	https://doi.org/10.1016/j.jde.2009.01.005
Publication status	Published - 2009 May 1
Externally published	Yes

ASJC Scopus subject areas

Analysis
Applied Mathematics

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10.1016/j.jde.2009.01.005

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title = "Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system",

abstract = "In this paper, we consider the Dirichlet problem for an elliptic system on a ball in R2. By investigating the properties for the corresponding linearized equations of solutions, and adopting the Pohozaev identity and Implicit Function Theorem, we show the uniqueness and the structure of solutions.",

author = "Chern, {Jann Long} and Chen, {Zhi You} and Tang, {Yong Li} and Lin, {Chang Shou}",

note = "Funding Information: E-mail addresses: chern@math.ncu.edu.tw (J.-L. Chern), zhiyou@math.ncu.edu.tw (Z.-Y. Chen), tangyl@math.ncu.edu.tw (Y.-L. Tang), cslin@math.ntu.edu.tw (C.-S. Lin). 1 Work partially supported by National Science Council and National Center for Theoretical Sciences of Taiwan.",

year = "2009",

month = may,

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doi = "10.1016/j.jde.2009.01.005",

language = "English",

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journal = "Journal of Differential Equations",

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TY - JOUR

T1 - Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system

AU - Chern, Jann Long

AU - Chen, Zhi You

AU - Tang, Yong Li

AU - Lin, Chang Shou

N1 - Funding Information: E-mail addresses: chern@math.ncu.edu.tw (J.-L. Chern), zhiyou@math.ncu.edu.tw (Z.-Y. Chen), tangyl@math.ncu.edu.tw (Y.-L. Tang), cslin@math.ntu.edu.tw (C.-S. Lin). 1 Work partially supported by National Science Council and National Center for Theoretical Sciences of Taiwan.

PY - 2009/5/1

Y1 - 2009/5/1

N2 - In this paper, we consider the Dirichlet problem for an elliptic system on a ball in R2. By investigating the properties for the corresponding linearized equations of solutions, and adopting the Pohozaev identity and Implicit Function Theorem, we show the uniqueness and the structure of solutions.

AB - In this paper, we consider the Dirichlet problem for an elliptic system on a ball in R2. By investigating the properties for the corresponding linearized equations of solutions, and adopting the Pohozaev identity and Implicit Function Theorem, we show the uniqueness and the structure of solutions.

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U2 - 10.1016/j.jde.2009.01.005

DO - 10.1016/j.jde.2009.01.005

M3 - Article

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VL - 246

SP - 3704

EP - 3714

JO - Journal of Differential Equations

JF - Journal of Differential Equations

IS - 9

ER -

Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system

Abstract

ASJC Scopus subject areas

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