数学
订单(交换)
类型(生物学)
操作员(生物学)
纯数学
等价(形式语言)
缩放比例
数学分析
几何学
生物
经济
转录因子
基因
抑制因子
财务
化学
生物化学
生态学
作者
Yuxia Guo,Shaolong Peng
标识
DOI:10.1142/s0219199722500067
摘要
In this paper, we are mainly concerned with the following system in an exterior domains: [Formula: see text] where [Formula: see text], [Formula: see text] is an integer, [Formula: see text], and [Formula: see text] is the polyharmonic operator. We prove the nonexistence of positive solutions to the above system for [Formula: see text] if [Formula: see text], and [Formula: see text] if [Formula: see text]. The novelty of the paper is that we do not ask [Formula: see text] satisfy any symmetry and asymptotic conditions at infinity. By proving the superharmonic properties of the solutions, we establish the equivalence between systems of partial differential equations (PDEs) and integral equations (IEs), then the method of scaling sphere in integral form can be applied to prove the nonexistence of the solutions.
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