典型文献
Positive Solutions for Asymptotically Linear Cone-Degenerate Elliptic Equations
文献摘要：
In this paper,the authors study the asymptotically linear elliptic equation on manifold with conical singularities-△Bu+λu=a(z)f(u),u＞0 inR+N,where N=n+1≥3,λ＞0,z=(t,x1,…,xn),and △B=(t8t)2+(6)x12+…+(6)xn2 Combining properties of cone-degenerate operator,the Pohozaev manifold and qualitative properties of the ground state solution for the limit equation,we obtain a positive solution under some suitable conditions on a and f.
文献关键词：
中图分类号：
作者姓名：
Hua CHEN;Peng LUO;Shuying TIAN
作者机构：
School of Mathematics and Statistics,Wuhan University,Wuhan 430072,China;School of Mathematics and Statistics,Central China Normal University,Wuhan 430079,China;Department of Mathematics,School of Science,Wuhan University of Technology,Wuhan 430070,China
文献出处：
引用格式：
[1]Hua CHEN;Peng LUO;Shuying TIAN-.Positive Solutions for Asymptotically Linear Cone-Degenerate Elliptic Equations)[J].数学年刊B辑（英文版）,2022(05):685-718
A类：
Asymptotically,Bu+,inR+N,t8t,x12+,xn2
B类：
Positive,Solutions,Linear,Cone,Degenerate,Elliptic,Equations,In,this,paper,authors,study,asymptotically,linear,elliptic,equation,manifold,conical,singularities,where,n+1,Combining,properties,cone,degenerate,operator,Pohozaev,qualitative,ground,state,solution,limit,we,obtain,positive,under,some,suitable,conditions
AB值：
0.613772
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