On the existence of solutions of elliptic systems in R^N

Boyan Sirakov (1)

1 MODAL'X - Modélisation aléatoire de Paris X

We show that Hamiltonian elliptic systems in the whole space have positive solutions and ground states under hypotheses which are natural extensions of the standard "mountain pass" assumptions for scalar equations.

Domaines: Equations aux dérivées partielles [math.AP]

Boyan Sirakov. On the existence of solutions of elliptic systems in R^N. Advances in Differential Equations, 2000, 5 (10-12), pp.1445-1464. ⟨hal-00004759⟩