Uniqueness of a Positive Radially Symmetric Solution of the Dirichlet Problem for Certain Nonlinear Differential Equation of the Second Order in a Ball

被引：0

作者：

Abduragimov, E. I. ^{[1
]}

机构：

[1] Dagestan State Univ, Ul Dzerzhinskogo 12, Makhachkala 367025, Russia

来源：

RUSSIAN MATHEMATICS | 2008年 / 52卷 / 12期

关键词：

positive solution; radially symmetric solution; Dirichlet problem; differential equation;

D O I：

10.3103/S1066369X08120013

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the Dirichlet problem u Gamma = 0 for the nonlinear differential equation Delta u + vertical bar x vertical bar (m)vertical bar u|(p) = 0, x is an element of S, with constant m >= 0 and p > 1 in the unit ball S = {x is an element of R-n : vertical bar x vertical bar < 1} ( n >= 3) with the boundary Gamma. We prove that with p <= m+n/n-2 this problem has a unique positive radially symmetric solution.

引用

页码：1 / 3

页数：3