On connections between domain specific constants in some norm inequalities
arXiv:1712.04153 · doi:10.20312/dim.2018.01
Abstract
We derive connections between optimal domain specific constants figuring in the Friedrichs-Velte inequality for conjugate harmonic functions, in the Babuška-Aziz inequality for the divergence and in the improved Poincaré inequality for the gradient. With the same method we obtain for spatial domains an improved Poincaré inequality for the rotation in connection with the corresponding Babuška-Aziz inequality.
14 pages, 0 figures