Harnack type estimates for nonlinear elliptic systems and applications
Harnack type estimates for nonlinear elliptic systems and applications
In this paper we obtain a generalised maximum principle of Alexandrov–Bakelman–Pucci type for viscosity solutions of fully nonlinear cooperative elliptic systems. We also establish a Harnack estimate for such systems and give some applications. In particular, a Harnack type estimate for solutions of higher order equations is given. Résumé Dans …