The paper is concerned with the slightly subcritical elliptic problem with Hardy term \[ \left\{ \begin{ aligned} -\Delta u-\mu\frac{ u}{ |x|^2} &= |u|^{ 2^{ \ast}-2-\epsilon}u &&\quad \text{ in } \Omega, \\\ u &= 0&&\quad \text{ on } \partial\Omega, \end{ aligned} \right. \] in a bounded domain $\Omega\subset\mathbb{ R}^N$ with $0\in\Omega$, in dimensions $N\ge7$. We prove the existence of multi-bubble nodal solutions that blow up positively at the origin and negatively at a different point as $\epsilon\to0$ and $\mu=\epsilon^\alpha$ with $\alpha>\frac{ N-4}{ N-2}$. In the case of $\Omega$ being a ball centered at the origin we can obtain solutions with up to $5$ bubbles of different signs. We also obtain nodal bubble tower solutions, i.e. superpositions of bubbles of different signs, all blowing up at the origin but with different blow-up order. The asymptotic shape of the solutions is determined in detail.
Categories: math.AP