Improved Friedrichs inequality for a subhomogeneous embedding

Vladimir Bobkov, Sergey Kolonitskii

For a smooth bounded domain $\Omega$ and $p\ge q\ge 2$, we establish quantified versions of the classical Friedrichs inequality $\Vert \nabla u{\Vert }_p^p-{\lambda }_1\Vert u{\Vert }_q^p\ge 0$, $u \in W_0…