Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms
Zhijun Zhang · DOAJ (DOAJ: Directory of Open Access Journals) · 2006
We show the exact asymptotic behaviour near the boundary for the classical solution to the Dirichler problem $$ -Delta =k(x)g(u)+lambda |abla u|^q, quad u>0,; xin Omega,quad uig|_{partial{Omega}}=0, $$ where $Omega$ is a bounded domain with smooth boundary in $mathbb R^N$. We use the Karamata regular varying theory, a perturbed argument, and constructing comparison functions.