Uniqueness and structure of solutions to the Dirichlet problem for an elliptic system |
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Authors: | Jann-Long Chern Zhi-You Chen |
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Institution: | a Department of Mathematics, National Central University, Chung-Li 32001, Taiwan b Department of Mathematics, Taida Institute for Mathematical Sciences, National Taiwan University, Taipei 10617, Taiwan |
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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. |
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Keywords: | 35J60 |
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