TY - JOUR
AU - Kajikiya, Ryuji
PY - 2015/09/01
Y2 - 2021/10/24
TI - Partially symmetric solutions of the generalized HÃ©non equation in symmetric domains
JF - Topological Methods in Nonlinear Analysis
JA - TMNA
VL - 46
IS - 1
SE -
DO - 10.12775/TMNA.2015.043
UR - https://apcz.umk.pl/TMNA/article/view/TMNA.2015.043
SP - 191 - 221
AB - 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.
ER -