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Liouville type theorem to an integral system in the half-space

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  • In this paper, by using the moving plane method in integral forms, we establish a Liouville type theorem for a coupled integral system with Navier boundary values in the half-space. Furthermore, we prove that the Liouville type theorem is valid for the related differential system as well under an additional assumption by showing the equivalence between the involved differential and integral systems.
    Mathematics Subject Classification: Primary: 35B53; 35J40; Secondary: 35J60.


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