Qualitative properties of solutions for quasi-linear elliptic equations

For several classes of functions including the special case $f(u)=u^{p-1}-u^m$, $m>p-1>0$, we obtain Liouville type, boundedness and symmetry results for solutions of the non-linear $p$-Laplacian problem $-Delta_p u=f(u)$ defined on the whole space $mathbb{R}^n$. Suppose $u in C^2(mathbb{R}^n)...

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Bibliographic Details
Main Author: Zhenyi Zhao
Format: Article
Language:English
Published: Texas State University 2003-09-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2003/99/abstr.html