Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms in symmetric domains
Multi-bubble nodal solutions to slightly subcritical elliptic problems with Hardy terms in symmetric domains
We consider the slightly subcritical elliptic problem with Hardy term $$ \left\{ \begin{aligned} -\Delta u-\mu\frac{u}{|x|^2} &= |u|^{2^{\ast}-2-\epsilon}u &&\quad \text{in } \Omega\subset\mathbb{R}^N, \\\ u &= 0&&\quad \text{on } \partial \Omega, \end{aligned} \right. $$ where $0\in\Omega$ and $\Omega$ is invariant under the subgroup $SO(2)\times\{\pm E_{N-2}\}\subset O(N)$; here $E_n$ denots the $n\times n$ …