arXiv subjects

Sándor Zsuppán

Publications and source records attributed to Sándor Zsuppán.

2 recordsLinked to original sources

arXiv2018

Connections between optimal constants in some norm inequalities for differential forms

We derive an improved Poincaré inequality in connection with the Babuška-Aziz and Friedrichs-Velte inequalities for differential forms by estimating the domain specific optimal constants figuring in the respective inequalities with each other provided the domain supports the Hardy inequality. We also derive upper estimates for the constants of a star-shaped domain by generalizing the known Horgan-Payne type estimates for planar and spatial domains to higher dimensional ones.

math.AP↗

arXiv2017

On connections between domain specific constants in some norm inequalities

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.

math.AP↗