A Note on the Poincaré Inequality for Convex Domains

Zeitschrift für Analysis und ihre Anwendungen

Volumn 22, Issue 4, 2003, Pages 751-756

  Bebendorf, M ^a  

^a UNIVERSITY OF LEIPZIG   (Germany)

Author keywords

Convex domains; Inequality; Poincar

Indexed keywords

EID: 1342347523     PISSN: 02322064     EISSN: None     Source Type: Journal    
DOI: 10.4171/ZAA/1170     Document Type: Article

References (7)

1. 1 for convex domains. Preprint. University of Buenos Aires 2003.
2. ∞-coefficients, Numer. Math. 2003 (to appear).
3. Courant, R. and D. Hilbert: Methoden der mathematischen Physik, Band I. Dritte Auflage. Berlin: Springer-Verlag 1968.
4. Eggleston, H. G.: Convexity. New York: Cambridge Univ. Press 1958.
5. Payne, L. E. and H. F. Weinberger: An optimal Poincaré inequality for convex domains. Arch. Rat. Mech. Anal. 5 (1960), 286 - 292.
6. Wloka, J.: Partial Differential Equations (translated from the German by C. B. Thomas and M. J. Thomas). Cambridge: Cambridge Univ. Press 1987.
7. Verfürth, R.: A note on polynomial approximation in Sobolev spaces. Math. Model. Numer. Anal. 33 (1999), 715 - 719.