Synchronization of chaos in coupled systems of ordinary di erential equations is an area of mathematics which has attracted much attention in recent years, in particular for the potential technological applications such systems have in engineering and industry. The motivation for this research was to understand mathematically, synchronization observed in systems of two and three solid state las...

We establish the existence of a nonnegative fully nontrivial solution to non-variational weakly coupled competitive elliptic system. show that this kind solutions belong topological manifold Nehari-type, and apply degree-theoretical argument on derive existence.