Open AccessMathematics

A Note on the Poincaré Inequality for Convex Domains

M. Bebendorf

2003.3.13ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN

DOI: 10.4171/zaa/1170

tlooto Summary

The Poincaré inequality for convex domains is proven with an explicit constant in this 2003 article.

Abstract

In this article a proof for the Poincaré inequality with explicit constant for convex domains is given. This proof is a modification of the original proof [5], which is valid only for the two-dimensional case.

Citation format

BEBENDORF, M. A note on the poincaré inequality for convex domains. ZEITSCHRIFT FUR ANALYSIS UND IHRE ANWENDUNGEN, 2003, 22: 751–756.