Regularity for Minimizers of a Planar Partitioning Problem with Cusps

Michael Novack

We study the regularity of minimizers for a variant of the soap bubble cluster problem: \begin{align*} \min \sum_{\ell=0}^N c_{\ell} P( S_\ell)\,, \end{align*} where $c_{\ell }>0$, am…