A note on nodal non-radially symmetric solutions to Emden-Fowler equations

We prove the existence of an unbounded sequence of sign-changing and non-radially symmetric solutions to the problem $-Delta u = |u|^{p-1}u$ in $Omega$, $u = 0$ on $partialOmega$, $u(gx)= u(x$), $ xin Omega$, $gin G$, where $Omega$ is an annulus of $mathbb{R}^N$ ($Ngeq 3$), $1<p< (...

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Bibliographic Details
Main Authors: Miguel Ramos, Wenming Zou
Format: Article
Language:English
Published: Texas State University 2009-03-01
Series:Electronic Journal of Differential Equations
Subjects:
Online Access:http://ejde.math.txstate.edu/Volumes/2009/40/abstr.html