Asymptotic behaviour of the solution for the singular Lane-Emden-Fowler equation with nonlinear convection terms

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 re...

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Bibliographic Details
Main Author: Zhijun Zhang
Format: Article
Language:English
Published: Texas State University 2006-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2006/93/abstr.html