Non-variational weakly coupled elliptic systems

Abstract

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

arXiv comment21 pages

References in corpus (1)

• A simple variational approach to weakly coupled competitive elliptic systems