Blow-up Rates of Large Solutions for Quasilinear Elliptic Equations
Chunlian Liu
College of Zhongbei, Nanjing Normal University, Jiangsu Nanjing 210023, China.
Zuodong Yang *
nstitute of Mathematics, School of Mathematical Sciences, Nanjing Normal University, Jiangsu Nanjing 210023, China.
*Author to whom correspondence should be addressed.
Abstract
In this paper, we mainly study the boundary behavior of solutions to boundary blow-up quasilinear elliptic problem

where
is a bounded domain with smooth boundary in
which is positive in
and maybe vanishing on the boundary and rapidly varying near the boundary.
Keywords: Large solutions, quasilinear elliptic equation, boundary blow-up, asymptotic behavior solution