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< (...
Main Authors: | , |
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Format: | Article |
Language: | English |
Published: |
Texas State University
2009-03-01
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Series: | Electronic Journal of Differential Equations |
Subjects: | |
Online Access: | http://ejde.math.txstate.edu/Volumes/2009/40/abstr.html |
Summary: | 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 $mathbb{R}^N$ ($Ngeq 3$), $1<p< (N+2)/(N-2)$ and $G$ is a non-transitive closed subgroup of the orthogonal group $O(N)$. |
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ISSN: | 1072-6691 |