## Abstract

In this paper a new version of Krasnoselskii’s fixed point theorem in cones, together with a global weak Harnack inequality for nonnegative superharmonic functions are used to investigate the existence of positive solutions of the Dirichlet problem for semi-linear elliptic equations.

## Authors

**Yansheng Liu**

Department of Mathematics, Shandong Normal University, Jinan, 250014, P. R. China

**Radu Precup**

Department of Mathematics, Babes-Bolyai University, Cluj-Napoca, Romania

## Keywords

positive solution; fixed point theorem in cones; elliptic boundary value problem; weak Harnack inequality

## Paper coordinates

Y. Liu, R. Precup, *Positive solutions of nonlinear singular integral equations in ordered Banach spaces*, Nonlinear Funct. Anal. Appl. 11 (2006) no. 3, 447-457.

also freely available at the publisher: http://nfaa.kyungnam.ac.kr/journal-nfaa/index.php/NFAA/article/view/571/517

MR2305500, Zbl pre05145463

## About this paper

##### Journal

Nonlinear Funct. Anal. Appl.

##### Publisher Name

KUPress

##### DOI

##### Print ISSN

1229-1595

##### Online ISSN

2466-0973

google scholar link

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