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

Radu Precup
not-at-ICTP

Abstract


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.

Authors

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

Keywords

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

Paper coordinates

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

PDF

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

About this paper

Journal

Cubo A Mathematical Journal

Publisher Name
DOI

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

Print ISSN

0716-7776

Online ISSN

719-0646

google scholar link

[1] D. Gilbarg and N. Trudinger, Elliptic Partial Differential Equations of Second Order, Springer, Berlin, 1983.
[2] A. Granas and J. Dugundji, Fixed Point Theory, Springer, New York, 2003.
[3] M.A. Krasnoselskii, Topological Methods in the Theory of Nonlinear Integral Equations, Cambridge University Press, New York, 1964.
[4] R. Precup, Positive solutions of semi-linear elliptic problems via Krasnoselskii type theorems in cones and Harnack’s inequality, Mathematical Analysis and Applications, AIP Conf. Proc., 835, Amer. Inst. Phys., Melville, NY, 2006, 125–132.
2008

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