## 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

**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

R. Precup, *Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality*, in “Mathematical Analysis ans Applications”, eds. V. Radulescu and C. Niculescu, Amer. Inst. Physics, AIP Conference Proceedings, vol. 835, 2006, 125-132. https://doi.org/10.1063/1.2205042

## About this paper

##### Journal

Mathematical Analysis and Applications

##### Publisher Name

American Inst. of Physics

##### Print ISSN

ISBN:0735403287

ISBN:978-0735403284

##### Online ISSN

MR2258649.

google scholar link

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