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

13.jpg

where 33.jpg  is a bounded domain with smooth boundary in 25.jpg which is positive in 34.jpg and maybe vanishing on the boundary and rapidly varying near the boundary.

Keywords: Large solutions, quasilinear elliptic equation, boundary blow-up, asymptotic behavior solution


How to Cite

Liu, Chunlian, and Zuodong Yang. 2013. “Blow-up Rates of Large Solutions for Quasilinear Elliptic Equations”. Journal of Advances in Mathematics and Computer Science 3 (4):605-16. https://doi.org/10.9734/BJMCS/2013/4487.

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