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A Liouville type Theorem for an integral system

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  • In this paper, we study a conjecture of J.Serrin and give a partial generalized result of the work of de Figueiredo and Felmer about Liouville type Theorem for non-negative solutions for an elliptic system. We use a new type of moving plane method introduced by Chen-Li-Ou. Our new ingredient is the use of Stein-Weiss inequality.
    Mathematics Subject Classification: 35J99, 45E10, 45G05.


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