Liouville type theorem to an integral system in the half-space. (English) Zbl 1280.45003
Summary: 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 a 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.
MSC:
| 45G15 | Systems of nonlinear integral equations |
Keywords:
Liouville type theorem; Navier boundary value; moving plane method in integral forms; rotational symmetry; Kelvin transformation; system of nonlinear integral equationsReferences:
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