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 + Show 2 more

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https://doi.org/10.1016/j.jde.2009.01.005

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Journal: Journal of Differential Equations	Publication Date: Jan 30, 2009
Citations: 30	License type: mit

Affiliation: National Central University, National Taiwan University

#Implicit Function Theorem #Structure Of Solutions + Show 6 more

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Abstract

In this paper, we consider the Dirichlet problem for an elliptic system on a ball in R 2 . 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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