TY - JOUR
T1 - The Liouville Type Theorem for a System of Nonlinear Integral Equations on Exterior Domain
AU - Yin , Rong
AU - Zhang , Jihui
AU - Shang , Xudong
JO - Journal of Partial Differential Equations
VL - 3
SP - 191
EP - 206
PY - 2019
DA - 2019/10
SN - 32
DO - http://doi.org/10.4208/jpde.v32.n3.1
UR - https://global-sci.org/intro/article_detail/jpde/13339.html
KW - System of integral equations
KW - exterior domain
KW - symmetry
KW - monotonicity
KW - Liouville type theorem.
AB - <p>In this paper we are concerned with a system of nonlinear integral equations
on the exterior domain under the suitable boundary conditions. Through the method
of moving planes in integral forms which has some innovative ideas we obtain that
the exterior domain is radial symmetry and a pair of positive solutions of the system
is radial symmetry and monotone non-decreasing. Consequently, we can obtain the
corresponding Liouville type theorem about the solutions.</p>