Bull. Austral. Math. Soc. 72(2) pp.271--281, 2005.

Existence of positive solutions for nonlocal and nonvariational elliptic systems

Yujuan Chen

Hongjun Gao

Received: 3rd May, 2005

This project was supported by the NSF of Jiangsu Education Office of PRC 03KJD1101690.

Abstract

In the paper we prove a result on the existence of positive solutions for a class of nonvariational elliptic system with nonlocal source by Galerkin methods and a fixed point theorem in finite dimensions. We establish another existence result by the super and subsolution method and a monotone iteration.

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(Metadata: XML, RSS, BibTeX) MathSciNet: MR2183408 Z'blatt-MATH: 02246389

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