@article{Kajikiya_2015, title={Partially symmetric solutions of the generalized Hénon equation in symmetric domains}, volume={46}, url={https://apcz.umk.pl/TMNA/article/view/TMNA.2015.043}, DOI={10.12775/TMNA.2015.043}, abstractNote={We study the generalized H\’{e}non 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.}, number={1}, journal={Topological Methods in Nonlinear Analysis}, author={Kajikiya, Ryuji}, year={2015}, month={Sep.}, pages={191–221} }