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

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.