Summary: DEPENDENCE OF FRIEDRICHS' CONSTANT ON BOUNDARY
GILES AUCHMUTY, BEHROUZ EMAMIZADEH AND MOHSEN ZIVARI
Abstract. This note extends the results in , by describing the dependence of the
optimal constant in the p-version of Friedrichs' inequality on the boundary integral
term. In particular, it is shown that this constant is continuous, increasing, concave
and increases to the optimal constant for the Dirichlet problem as s .
Recently in , the optimal constants in the inequality