Existence and nonexistence of a positive solution of the Lane-Emden equation having a boundary singularity: the subcritical case

被引：3
作者：
Hirata, Kentaro [1 ]
机构：
[1] Hiroshima Univ, Grad Sch Sci, Dept Math, Higashihiroshima 7398526, Japan
来源：
MONATSHEFTE FUR MATHEMATIK | 2018年 / 186卷 / 04期
基金：
日本学术振兴会;
关键词：
A priori estimate; Harnack inequality; Nontangential limit; Singular solution; Lane-Emden equation; Uniform domain; SUPERHARMONIC FUNCTIONS; SUPERLINEAR PROBLEMS; ELLIPTIC-EQUATIONS; LIOUVILLE; THEOREMS;
D O I：
10.1007/s00605-017-1103-5
中图分类号：
O1 [数学];
学科分类号：
0701 ; 070101 ;
摘要：
In a nonsmooth bounded domain, we study the existence and nonexistence of a positive solution of the Lane-Emden equation which has a singularity at a given boundary point and behaves like the Martin kernel with pole at that point.
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页码：635 / 652
页数：18
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