An explicit bound for the Poincaré constant on a Lipschitz domain
Volume 112 / 2017
Banach Center Publications 112 (2017), 87-97
MSC: 26D10, 46E35, 35P15.
DOI: 10.4064/bc112-0-5
Abstract
We construct an explicit bound for the constant in the Neumann-type Poincaré inequality for a Lipschitz domain. The bound depends on only four parameters for the geometry of the domain.
