A new weighted Friedrichs-type inequality for a perforated domain with a sharp constant
Gregory Aleksandrovich Chechkin, Yulia Koroleva, Lars‐Erik Persson, Peter Wall · Eurasian Mathematical Journal · 2011
We derive a new three-dimensional Hardy-type inequality for a cube for the class of functions from the Sobolev space $H^1$ having zero trace on small holes distributed periodically along the bounda ...