A quasilinear singular elliptic problem related to the Kardar–Parisi–Zhang equation

ABSTRACTIn this paper, we will study existence and properties of solutions for the nonlinear Dirichlet problem −div⁡(M(x)∇u)=b(x)|∇u|uθ+f(x),in Ω,u=0,on ∂Ω, where Ω⊂RN is a bounded domain, 0<θ≤1, M...