Combining the results of a recent paper by Fleckinger-Hernández-de Thélin for a non cooperative 2 x 2 system with the method of PhD Thesis of M. H. Lécureux we compute the sign of the solutions of a n x n non-cooperative systems when the parameter varies near the lowest principal eigenvalue of the system.
Maximum Principle; Antimaximum Principle; Elliptic Equations and Systems; Non Cooperative Systems; Principal Eigenvalue;
Rostocker Mathematisches Kolloquium, vol. 71, 2018, pp. 3–13