Symmetric properties of positive solutions for fully nonlinear nonlocal system

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 Rn via using a direct method of moving planes. This extends the results in Wang and Niu (2017) and also is the first result of th...

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Bibliographic Details
Published in:Nonlinear analysis 2019-10, Vol.187, p.134-146
Main Authors: Wang, Pengyan, Niu, Pengcheng
Format: Article
Language:English
Subjects:
Direct method of moving planes
Fully nonlinear nonlocal system
Maximum principle
Nonlinear systems
Symmetry
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Summary: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 Rn 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.
ISSN:0362-546X
1873-5215
DOI:10.1016/j.na.2019.04.002