Radially Symmetric Positive Solutions of the Dirichlet Problem for the p-Laplace Equation

被引：0

作者：

Yang, Bo ^{[1
]}

机构：

[1] Kennesaw State Univ, Dept Math, Kennesaw, GA 30144 USA

来源：

MATHEMATICS | 2024年 / 12卷 / 15期

关键词：

boundary value problem; p-Laplacian; positive solution; existence and nonexistence; EXISTENCE;

D O I：

10.3390/math12152351

中图分类号：

O1 [数学];

学科分类号：

0701 ; 070101 ;

摘要：

We consider the p-Laplace boundary value problem with the Dirichlet boundary condition. A new lower estimate for positive solutions of the problem is obtained. As an application of this new lower estimate, some sufficient conditions for the existence and nonexistence of positive solutions for the p-Laplace problem are obtained.

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页数：8

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