Anisotropic system with singular and regular nonlinearities
Youssouf Oussama Boukarabila, Sofiane El-Hadi Miri · Complex Variables and Elliptic Equations · 2019
We consider in this paper the following system: −L(pi)u=−∑i=1N∂i∂iupi−2∂iu=1vα1+vβ1−L(qi)v=−∑i=1N∂i∂ivqi−2∂iv=1uα2+uβ2u=v=0on ∂Ω,u>0,v>0in Ω. where Ω is a bounded regular domain in RN, we will assume that β1 0, α2>0, 2<p1≤p2≤…≤pN and 2