JournalszaaVol. 22 , No. 4DOI 10.4171/zaa/1170

A Note on the Poincaré Inequality for Convex Domains

  • Mario Bebendorf

    Universität Leipzig, Germany
A Note on the Poincaré Inequality for Convex Domains cover

Abstract

A proof for the Poincaré inequality with explicit constant for convex domains is given. This proof is a modification of the original proof of L. F. Payne and H. F. Weinberger [Arch. Rat. Mech. Anal. 5 (1960) 286--292], which is valid only for the two-dimensional case.