On the existence of positive radial solutions for a certain class of elliptic BVPs

被引：17

作者：

Orpel, A ^{[1
]}

机构：

[1] Univ Lodz, Fac Math, PL-90238 Lodz, Poland

来源：

JOURNAL OF MATHEMATICAL ANALYSIS AND APPLICATIONS | 2004年 / 299卷 / 02期

关键词：

nonlinear elliptic problems; positive solutions; radial solution; duality method; variational principle;

D O I：

10.1016/j.jmaa.2004.06.013

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

The aim of this paper is to answer the question, when a certain BVP of elliptic type possesses positive radial solutions. We develop duality and variational principles for this problem. Our approach enables the approximation of solutions and gives a measure of a duality gap between primal and dual functional for minimizing sequences. (C) 2004 Elsevier Inc. All rights reserved.

引用

页码：690 / 702

页数：13

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