拟线性椭圆系统非径向爆破解的非存在性  

The Non-Existence of Non-Radial Blow-Up Solutions for the Quasilinear Elliptic System

作　　者：计婷[1] 胡良根[1] 曾晶[2] Ting Ji;Lianggen Hu;Jing Zeng(Department of Mathematics, Ningbo University, Zhejiang Ningbo 315211;School of Mathematics and Computer Science, Fujian Normal University, Fuzhou 350007)

机构地区：[1]宁波大学数学系,浙江宁波315211 [2]福建师范大学数学与计算机学院,福州350007

出　　处：《数学物理学报（A辑）》2019年第2期307-315,共9页Acta Mathematica Scientia

基　　金：国家自然科学基金(11471174;11501110);浙江省自然科学基金(LY17A010007);宁波市自然科学基金(2018A610194)~~

摘　　要：该文考虑拟线性椭圆系统△_(pi)u_i+ζ_i(|x|)|▽u_i|^(pi-1)=η_i(|x|)f_i(u_1,…,u_m),其中i=1,…,m,pi≥2,ζ_i和η_i是正连续函数,f_i是非负连续函数且关于每个分量是非减的.通过应用新建立的比较原理证明系统不存在非径向爆破解.In this paper, we consider the following quasilinear elliptic system Δpiui+ζi(|x|)|▽ui|^pi-1=ηi(|x|)fi(u1,…,um),in RN, where i=1,…,mpi≥2,ζi and ηiare positive continuous functions, and fifi is a non-negative continuous function and nondecreasing in each component for every i∈{1,2,…,m}. After using some new comparison principle, we are able to show that the system does not admit any nonradial blow-up solutions.

关 键 词：拟线性椭圆系统 比较原理 非存在性 爆破解 

分 类 号：O175.25[理学—数学]