The Integrability of Negative Powers of the Solution of the Saint Venant Problem

Anthony Carbery, Vladimir Maz'ya, Marius Mitrea +1

We initiate the study of the finiteness condition ${\int }_{\Omega }u(x{)}^{-\beta }dx\le C(\Omega ,\beta )<+\infty$ where $\Omega \subseteq {\mathbb{R}}^n$ is an open set and $u$ is the solution of the Saint Vena…