加权半线性椭圆系统稳定正解的Liouville定理  

Liouville type theorems for stable solutions of semilinear elliptic system with weights

作　　者：甘怡清 胡良根 GAN Yiqing;HU Lianggen(School of Mathematics and Statistics,Ningbo University,Ningbo 315211,China)

机构地区：[1]宁波大学数学与统计学院,浙江宁波315211

出　　处：《宁波大学学报（理工版）》2023年第2期73-81,共9页Journal of Ningbo University：Natural Science and Engineering Edition

基　　金：国家自然科学基金(62071262);宁波市自然科学基金(2018A610194)。

摘　　要：研究加权半线性椭圆系统■其中,p>1,w(x)、w_(1)(x)和w_(2)(x)是非负连续函数.对于w_(1)≠w_(2)和w_(1)≡w_(2),指数p属于次临界、临界和超临界的部分区间时,证明了椭圆系统不存在稳定正解.In this paper,we study the following semilinear elliptic system with weights■where p>1,w(x),w_(1)(x)and w_(2)(x)are nonnegative continuous functions.For the two cases w_(1)≠w_(2)and w_(1)≡w_(2),it is proved that there is no stable positive solutions for the elliptic system when the exponent p belongs to the subcritical,critical and supercritical partial intervals.

关 键 词：稳定解 LIOUVILLE定理 权项 迭代 

分 类 号：O186[理学—数学]