On the Precise Asymptotics of the Constant in Friedrich's Inequality for Functions Vanishing on the Part of the Boundary with Microinhomogeneous Structure
Gregory Aleksandrovich Chechkin, Yulia Koroleva, Lars‐Erik Persson · Journal of Inequalities and Applications · 2007
We construct the asymptotics of the sharp constant in the Friedrich-type inequality for functions, which vanish on the small part of the boundary . It is assumed that consists of pieces with diameter of order . In addition, and as .