International Journal of Mathematics and Mathematical Sciences
Volume 27 (2001), Issue 12, Pages 725-736
doi:10.1155/S016117120100401X

Existence of solutions for non-necessarily cooperative systems involving Schrödinger operators

Laure Cardoulis

Ceremath, Université des Sciences Sociales, 21 Allée de Brienne, Toulouse Cedex 31042, France

Abstract

We study the existence of a solution for a non-necessarily cooperative system of n equations involving Schrödinger operators defined on N and we study also a limit case (the Fredholm Alternative (FA)). We derive results for semilinear systems.