Asymptotic behavior of ground state solutions for sublinear and singular nonlinear Dirichlet problems

In this article, we are concerned with the asymptotic behavior of the classical solution to the semilinear boundary-value problem $$ Delta u+a(x)u^{sigma }=0 $$ in $mathbb{R}^n$, $u>0$, $lim_{|x|o infty }u(x)=0$, where $sigma <1$. The special feature is to consider the function $a$...

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Bibliographic Details
Main Authors: Rym Chemmam, Abdelwaheb Dhifli, Habib Maagli
Format: Article
Language:English
Published: Texas State University 2011-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2011/88/abstr.html