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- Title
A DIRECT METHOD OF MOVING PLANES FOR A FULLY NONLINEAR NONLOCAL SYSTEM.
- Authors
Pengyan Wang; Pengcheng Niu
- Abstract
In this paper we consider the system involving fully nonlinear non-local operators: ... where 0 < α, β < 2; p; q; r; s > 1; k1(x); k2(x) ≥ 0: A narrow region principle and a decay at infinity are established for carrying on the method of moving planes. Then we prove the radial symmetry and monotonicity for positive solutions to the nonlinear system in the whole space. Furthermore non-existence of positive solutions to the system on a half space is derived.
- Subjects
PLANE geometry; ANALYTIC geometry of planes; NONLINEAR systems; DYNAMICAL systems; NONLINEAR differential equations
- Publication
Communications on Pure & Applied Analysis, 2017, Vol 16, Issue 5, p1707
- ISSN
1534-0392
- Publication type
Article
- DOI
10.3934/cpaa.2017082