Uniqueness and asymptotic behavior of boundary blow-up solutions to semilinear elliptic problems with non-standard growth

In this article, we analyze uniqueness and asymptotic behavior of boundary blow-up non-negative solutions to the semilinear elliptic equation $$displaylines{ Delta u=b(x)f(u),quad xin Omega,cr u(x)=infty, quad xinpartialOmega, }$$ where $Omegasubsetmathbb{R}^N$ is a bounded smooth domain, b(x...

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Bibliographic Details
Main Authors: Shuibo Huang, Wan-Tong Li, Qiaoyu Tian
Format: Article
Language:English
Published: Texas State University 2012-08-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2012/147/abstr.html