SINGULAR SOLUTIONS FOR THE DIFFERENTIAL EQUATION WITH p-LAPLACIAN

被引：0

作者：

Bartusek, Miroslav ^{[1
]}

机构：

[1] Masaryk Univ, Fac Sci, Dept Math, Janackovo Nam 2a, Brno 66295, Czech Republic

来源：

ARCHIVUM MATHEMATICUM | 2005年 / 41卷 / 01期

关键词：

singular solutions; noncontinuable solutions; second order equations;

D O I：

暂无

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

In the paper a sufficient condition for all solutions of the differential equation with p-Laplacian to be proper. Examples of super-half-linear and sub-half-linear equations (vertical bar Y'vertical bar(P-1) y')' + r(l)vertical bar y vertical bar lambda sgn y = 0, r > 0 are given for which singular solutions exist (for any p > 0, lambda > 0, p not equal lambda).

引用

页码：123 / 128

页数：6

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