Harnack type estimates for nonlinear elliptic systems

Jerome Busca (1) , Boyan Sirakov (2)

1 LMPT - Laboratoire de Mathématiques et Physique Théorique
2 MODAL'X - Modélisation aléatoire de Paris X

We prove analogues for cooperative weakly coupled fully nonlinear ellipitc systems of the classical Alexandrov-Bakelman-Pucci and Harnack-Krylov-Safonov estimates. A number of applications are presented.

Domaines: Equations aux dérivées partielles [math.AP]

Jerome Busca, Boyan Sirakov. Harnack type estimates for nonlinear elliptic systems. Annales de l'Institut Henri Poincaré C, Analyse non linéaire, 2004, 21 (5), pp.543-590. ⟨hal-00004709⟩