Release Time:2019-03-09  Hits:

Indexed by: Journal Article

Date of Publication: 2014-03-01

Journal: COMMUNICATIONS ON PURE AND APPLIED ANALYSIS

Included Journals: Scopus、SCIE

Volume: 13

Issue: 2

Page Number: 511-525

ISSN: 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.