Large radial solutions of a polyharmonic equation with superlinear growth

This paper concerns the equation $Delta!^m u=|u|^p$, where $minmathbb{N}$, $pin(1,infty)$, and $Delta$ denotes the Laplace operator in $mathbb{R}^N$, for some $Ninmathbb{N}$. Specifically, we are interested in the structure of the set $mathcal{L}$ of all large radial solutions on the open unit ball...

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Bibliographic Details
Main Authors: J. Ildefonso Diaz, Monica Lazzo, Paul G. Schmidt
Format: Article
Language:English
Published: Texas State University 2007-05-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/16/d2/abstr.html