Bubble towers for supercritical semilinear elliptic equations

Yuxin Ge, Ruihua Jing, Frank Pacard

We construct positive solutions of the semilinear elliptic problem $\Delta u+\lambda u+u^p=0$ with Dirichet boundary conditions, in a bounded smooth domain $\Omega \subset {\mathbb{R}}^N$ $(N\ge 4)$, whe…