Topological Methods in Nonlinear Analysis
- Topol. Methods Nonlinear Anal.
- Volume 46, Number 1 (2015), 191-221.
Partially symmetric solutions of the generalized Hénon equation in symmetric domains
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Abstract
We study the generalized Hénon equation in a symmetric domain $\Omega$. Let $H$ and $G$ be closed subgroups of the orthogonal group such that $H \varsubsetneq G$ and $\Omega$ is $G$ invariant. Then we show the existence of a positive solution which is $H$ invariant but $G$ non-invariant under suitable assumptions of $H,G$ and the coefficient function of the equation.
Article information
Source
Topol. Methods Nonlinear Anal., Volume 46, Number 1 (2015), 191-221.
Dates
First available in Project Euclid: 30 March 2016
Permanent link to this document
https://projecteuclid.org/euclid.tmna/1459343891
Digital Object Identifier
doi:10.12775/TMNA.2015.043
Mathematical Reviews number (MathSciNet)
MR3443684
Zentralblatt MATH identifier
06712684
Citation
Kajikiya, Ryuji. Partially symmetric solutions of the generalized Hénon equation in symmetric domains. Topol. Methods Nonlinear Anal. 46 (2015), no. 1, 191--221. doi:10.12775/TMNA.2015.043. https://projecteuclid.org/euclid.tmna/1459343891
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