Critical point theorems in cones and multiple positive solutions of elliptic problems

被引：15

作者：

Precup, Radu ^{[1
]}

机构：

[1] Univ Babes Bolyai, Dept Math, Cluj Napoca 400084, Romania

来源：

NONLINEAR ANALYSIS-THEORY METHODS & APPLICATIONS | 2012年 / 75卷 / 02期

关键词：

Critical point; Mountain pass lemma; Compression; Cone; Positive solution; Elliptic problem; Moser-Harnack inequality; DIFFERENTIAL-EQUATIONS; EXISTENCE;

D O I：

10.1016/j.na.2011.09.016

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

We obtain critical point variants of the compression fixed point theorem in cones of Krasnoselskii. Critical points are localized in a set defined by means of two norms. In applications to semilinear elliptic boundary value problems this makes possible the use of local Moser-Harnack inequalities for the estimations from below. Multiple solutions are found for problems with oscillating nonlinearity. (C) 2011 Elsevier Ltd. All rights reserved.

引用

页码：834 / 851

页数：18

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