Oddness of least energy nodal solutions on radial domains

In this article, we consider the Lane-Emden problem $$displaylines{ Delta u(x) + |{u(x)}mathclose|^{p-2}u(x)=0, quad hbox{for } xinOmega,cr u(x)=0, quad hbox{for } xinpartialOmega, }$$ where $2 < p < 2^{*}$ and $Omega$ is a ball or an annulus in $mathbb{R}^{N}$, $Ngeq 2$. We sho...

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Bibliographic Details
Main Authors: Christopher Grumiau, Christophe Troestler
Format: Article
Language:English
Published: Texas State University 2010-07-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/conf-proc/18/g2/abstr.html