On $L^p$ inequality for differential forms and $L^p$ cohomology of a semialgebraic set for $p>>1$

Leonid Shartser

We study Poincaré type $L^p$ inequality on a compact semialgebraic subset of ${\mathbb{R}}^n$ for $p>>1$. First we derive a local inequality by using a Lipschitz deformation retraction with…