Publication | Open Access
A Note on the Poincaré Inequality for Convex Domains
204
Citations
4
References
2003
Year
Poincaré InequalityL. F. PayneEngineeringVariational AnalysisGlobal AnalysisFunctional AnalysisVariational InequalityExplicit ConstantVariational Inequalities
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.
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