International Journal of Mathematics and Mathematical Sciences 
Volume 21 (1998), Issue 3, Pages 549-554
doi:10.1155/S0161171298000751

Positive solutions of an asymptotically planar system of elliptic boundary value problems

F. J. S. A. Corrêa

 Departamento de Matemática e Estatística, Universidade Federal da Paraíba, Campina Grande 58109-970, PB, Brazil
Received 10 August 1995; Revised 12 December 1997

Abstract

We will prove an existence result of positive solutions for an asymptotically planar system of two elliptic equations. It will be used as main tools for a Maximum Principle and a result on Bifurcation Theory.