A PRIORI BOUNDS FOR POSITIVE RADIAL SOLUTIONS OF QUASILINEAR EQUATIONS OF LANE-EMDEN TYPE

被引：1

作者：

Bae, Soohyun ^{[1
]}

机构：

[1] Hanbat Natl Univ, Dept Math Sci, Daejeon 34158, South Korea

来源：

ARCHIVUM MATHEMATICUM | 2023年 / 59卷 / 02期

关键词：

quasilinear equation; positive solution; a priori bound; THEOREMS;

D O I：

10.5817/AM2023-2-155

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the quasilinear equation Delta(u)(p) + K(|x|)u(q) = 0, and present the proof of the local existence of positive radial solutions near 0 under suitable conditions on K. Moreover, we provide a priori estimates of positive radial solutions near infinity when r(-l)K(r) for l >= -p is bounded near infinity.

引用

页码：155 / 162

页数：8

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