Symmetric properties of positive solutions for fully nonlinear nonlocal system. (October 2019)

• Record Type: Journal Article
• Authors: Wang, Pengyan; Niu, Pengcheng
• Is Part Of: Nonlinear analysis. Volume 187(2019)
• Page Start: 134
• Page End: 146
• Publication Date: 2019-10
• Subjects: 35R11 -- 35J60 -- 35B50; Fully nonlinear nonlocal system -- Direct method of moving planes -- Maximum principle -- Symmetry; Mathematical analysis -- Periodicals; Functional analysis -- Periodicals; Nonlinear theories -- Periodicals; Analyse mathématique -- Périodiques; Analyse fonctionnelle -- Périodiques; Théories non linéaires -- Périodiques; Functional analysis; Mathematical analysis; Nonlinear theories; Periodicals; Electronic journals; 515.7248
• DOI: 10.1016/j.na.2019.04.002
• Languages: English
• ISSNs: 0362-546X

Abstract

Abstract: In this paper we obtain symmetry and monotonicity of positive solutions for the systems involving fully nonlinear nonlocal operators in a domain (bounded or unbounded) in R n via using a direct method of moving planes. This extends the results in Wang and Niu (2017) and also is the first result of the symmetry for a fully nonlinear nonlocal system containing gradient terms with different order.