Isoperimetric and stable sets for log-concave perturbations of Gaussian measures

César Rosales

Let $\Omega$ be an open half-space or slab in ${\mathbb{R}}^{n+1}$ endowed with a perturbation of the Gaussian measure of the form $f(p):=\exp (\omega (p)-c|p{|}^2)$, where $c>0$ and $\omega$ is a smoo…