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Indexed by:期刊论文

Date of Publication:2014-03-01

Journal:COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Included Journals:SCIE、Scopus

Volume:13

Issue:2

Page Number:511-525

ISSN No.:1534-0392

Key Words:Liouville type theorem; Navier boundary value; Moving plane method in integral forms; Rotational symmetry; Kelvin transformation

Abstract: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.