Positive Solutions for Elliptic Boundary Value Problems with a Harnack-Like Property

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Abstract

The aim of this paper is to present some existence results of positive solutions for elliptic equations and systems on bounded domains of â„N (N ≥ 1). The main tool is Krasnosel‘skii‘s compression-expansion fixed point theorem.

Keywords

Positive solution , elliptic boundary value problem , elliptic systems , Harnack-like inequality , 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 Applied Mathematics, Babe¸s–Bolyai University, 400084 Cluj, Romania.
  • Pages: 109–117
  • Date Published: 2008-12-01
  • Vol. 10 No. 4 (2008): CUBO, A Mathematical Journal

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Published

2008-12-01

How to Cite

[1]
T. Moussaoui and R. Precup, “Positive Solutions for Elliptic Boundary Value Problems with a Harnack-Like Property”, CUBO, vol. 10, no. 4, pp. 109–117, Dec. 2008.