典型文献
Classification of Positive Solutions to a Divergent Equation on the Upper Half Space
文献摘要：
In this paper we classify the positive solutions of the divergent equation with Neumann boundary on the upper half space{-div(tα▽u) =tβf(u),(y,t) ∈ Rn+1+,limt→0+ tα(e)u/(e)t =0 by the method of moving spheres and Kelvin transformations,where n ≥ 1,α ＞ 0,β ＞-1,n-1/n+1β ≤α ＜ β + 2,and f :(0,∞) → (0,o∞) is non-negative continuous function satisfying some conditions.This equation arises from a weighed Sobolev inequality involving divergent operator div(tα▽u) on the upper half space.
文献关键词：
中图分类号：
作者姓名：
Jin Ge YAO;Jing Bo DOU
作者机构：
School of Mathematics and Statistics,Shaanxi Normal University,Xi'an 710119,P.R.China
文献出处：
引用格式：
[1]Jin Ge YAO;Jing Bo DOU-.Classification of Positive Solutions to a Divergent Equation on the Upper Half Space)[J].数学学报（英文版）,2022(03):499-509
A类：
Rn+1+,limt
B类：
Classification,Positive,Solutions,Divergent,Equation,Upper,Half,Space,In,this,paper,classify,positive,solutions,divergent,equation,Neumann,boundary,upper,half,space,0+,by,method,moving,spheres,Kelvin,transformations,where,negative,continuous,function,satisfying,some,conditions,This,arises,from,weighed,Sobolev,inequality,involving,operator
AB值：
0.663433
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