典型文献
THE EXISTENCE AND BLOW-UP OF THE RADIAL SOLUTIONS OF A(k1,k2)-HESSIAN SYSTEM INVOLVING A NONLINEAR OPERATOR AND GRADIENT
文献摘要：
In this paper,we are concerned with the existence of the positive bounded and blow-up radial solutions of the(k1,k2)-Hessian system g(K1/k11)K1/k11=b1(|x|)g1(z1,z2),x∈RN,g(K1/k22)K1/k22=b2(|x|)g2(z1,z2),x∈RN where g is a nonlinear operator,Ki=Ski(λ(D2zi))+Ψi(|x|)|▽zi|ki,i=1,2.Under the appropriate conditions on g1 and g2,our main results are obtained by using the monotone iterative method and the Arzela-Ascoli theorem.Furthermore,our main results also extend the previous existence results for both the single equation and systems.
文献关键词：
中图分类号：
作者姓名：
Guotao WANG;Zedong YANG;Jiafa XU;Lihong ZHANG
作者机构：
School of Mathematics and Computer Science,Shanxi Normal University,Taiyuan 030031,China;School of Mathematical Sciences,Chongqing Normal University,Chongqing 401331,China
文献出处：
引用格式：
[1]Guotao WANG;Zedong YANG;Jiafa XU;Lihong ZHANG-.THE EXISTENCE AND BLOW-UP OF THE RADIAL SOLUTIONS OF A(k1,k2)-HESSIAN SYSTEM INVOLVING A NONLINEAR OPERATOR AND GRADIENT)[J].数学物理学报（英文版）,2022(04):1414-1426
A类：
EXISTENCE,BLOW,RADIAL,HESSIAN,INVOLVING,NONLINEAR,OPERATOR,GRADIENT,k11,k22,D2zi
B类：
THE,AND,UP,OF,SOLUTIONS,SYSTEM,In,this,paper,we,are,concerned,existence,positive,bounded,blow,up,radial,solutions,Hessian,K1,b1,g1,z1,z2,RN,b2,g2,where,nonlinear,operator,Ki,Ski,Under,appropriate,conditions,our,main,results,obtained,by,using,monotone,iterative,method,Arzela,Ascoli,theorem,Furthermore,also,extend,previous,both,single,equation,systems
AB值：
0.491127
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