Quasilinear elliptic system in exterior domains with dependence on the gradient
Luiz F. O. Faria, Olı́mpio H. Miyagaki, Fábio R. Pereira · Mathematische Nachrichten · 2013
In this paper, we deal with a quasilinear elliptic system in exterior domains with dependence on the gradient and coupling of the equations not only inside of the domain, but also on the boundary. We prove the existence of positive, negative or sign changing weak solutions. Our approach relies on an aproximation argument and an adequate elliptic “a priori” estimate.