Positive solutions for elliptic boundary value problems with a Harnack-like property

The aim of this paper is to present some existence results of positive solutions for elliptic equations and systems on bounded domains of $\mathbb{R} ^{N}~(N~\geq1)$. The main tool is Krasnosel’skii’s compression-expansion fixed point theorem.

Toufik Moussaoui
Department of Mathematics, E.N.S., P.O. Box 92, 16050 Kouba, Algiers, Algeria.

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

Positive solution, elliptic boundary value problem, elliptic systems, Harnack-like inequality, Krasnosel’skii’s compression-expansion fixed point theorem

T. Moussaoui, R. Precup, Positive solutions for elliptic boundary value problems with a Harnack-like property, Cubo 10 (2008), no. 4, 109-117.

https://ictp.acad.ro/wp-content/uploads/2023/03/2008d-Precup-Positive-solutions-for-elliptic-boundary-value-problems-with-a-Harnack-like-property.pdf

http://revistas.ufro.cl/ojs/index.php/cubo/article/view/1492

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