Quasilinear and singular elliptic systems
Jacques Giacomoni, Jesús Hernández, Paul Sauvy · Advances in Nonlinear Analysis · 2012
Abstract. In this paper, we investigate the following quasilinear elliptic and singular system : where is an open bounded domain with smooth boundary in , , and are two positive functions. Under suitable conditions on f 1 and f 2 , we first give a general result on the existence of positive weak solutions pairs to . Next, we give some applications to Biology.