Asymptotic behavior of solutions for some nonlinear partial differential equations on unbounded domains

We study the asymptotic behavior of positive solutions $u$ of $$ -Delta_p u(x) = V(x) u(x)^{p-1}, quad p>1; x in Omega,$$ and related partial differential inequalities, as well as conditions for existence of such solutions. Here, $Omega$ contains the exterior of a ball in $mathbb{R}^N$ $1<p<...

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Bibliographic Details
Main Authors: Jacqueline Fleckinger, Evans M. Harrell II, Francois De Thelin
Format: Article
Language:English
Published: Texas State University 2001-12-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2001/77/abstr.html