典型文献
A Class of Singular Coupled Systems of Superlinear Monge-Ampère Equations
文献摘要：
In this paper,we analyze the existence,multiplicity and nonexistence of nontrivial radial convex solutions to the following system coupled by singular Monge-Ampère equations{det D2u1=λh1(|x|)f1(-u2),in 2,det D2u2=λh2(|x|)f2(-u1),in Ω,u1=u2=0,on ?Ωfor a certain range of λ＞0,hi are weight functions,fi are continuous functions with possible singularity at 0 and satisfy a combined N-superlinear growth at oo,where i ∈{1,2},Ω is the unit ball in RN.We establish the existence of a nontrivial radial convex solution for small λ,multiplicity results of nontrivial radial convex solutions for certain ranges of λ,and nonexistence results of nontrivial radial solutions for the case λ≥1.The asymptotic behavior of nontrivial radial convex solutions is also considered.
文献关键词：
中图分类号：
作者姓名：
Mei-qang FENG
作者机构：
School of Applied Science,Beijing Information Science&Technology University,Beijing 100192,China
文献出处：
引用格式：
[1]Mei-qang FENG-.A Class of Singular Coupled Systems of Superlinear Monge-Ampère Equations)[J].应用数学学报（英文版）,2022(04):925-942
A类：
Superlinear,D2u1,D2u2,superlinear
B类：
Class,Singular,Coupled,Systems,Monge,Amp,Equations,In,this,paper,analyze,multiplicity,nonexistence,nontrivial,radial,convex,solutions,following,system,coupled,by,equations,det,h1,f1,h2,f2,certain,are,weight,functions,fi,continuous,possible,singularity,satisfy,combined,growth,oo,where,unit,ball,RN,We,establish,small,results,ranges,case,asymptotic,behavior,also,considered
AB值：
0.46063
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