Asymptotic behavior of positive solutions of some quasilinear elliptic problems

Zhongmin Guo, Li Ma

We discuss the asymptotic behavior of positive solutions of the quasilinear elliptic problem $-{\Delta }_{p}u=a{u}^{p-1}-b(x)u^q$, $u{|}_{\partial \Omega }=0$ as $q\to p-1+0$ and as $q\to \infty$…