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
Ceremath, Université des Sciences Sociales, 21 Allée de Brienne, Toulouse Cedex 31042, France
Received 1 October 1999
Copyright © 2001 Laure Cardoulis. This is an open access article distributed under the Creative Commons Attribution License, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
Abstract
We study the existence of a solution for a non-necessarily
cooperative system of n equations involving Schrödinger operators defined on ℝN and we study also a limit case (the Fredholm Alternative (FA)). We derive results for semilinear systems.