An optimal Poincaré inequality for convex domains
Author:
Publisher
Springer Science and Business Media LLC
Subject
Mechanical Engineering,Mathematics (miscellaneous),Analysis
Link
http://link.springer.com/content/pdf/10.1007/BF00252910.pdf
Reference6 articles.
1. Courant, R., & D. Hilbert: Methoden der Mathematischen Physik, vol. 1. Berlin: Springer 1931.
2. Kornhauser, E. T., & I. Stakgold: A Variational Theorem for b<2 u + λu = 0 and its Applications. J. Math. Phys. 31, 45–54 (1952). (See also Pólya, G.: Remarks on the Foregoing Paper. J. Math. Phys. 31, 55–57 (1952).)
3. Payne, L. E., & H. F. Weinberger: New Bounds for Solutions of Second Order Elliptic Partial Differential Equations. Pac. J. of Math. 8, 551–573 (1958).
4. Payne, L. E., & H. F. Weinberger: Lower Bounds for Vibration Frequencies of Elastically Supported Membranes and Plates. J. Soc. Indust. Appl. Math. 5, 17–182 (1957).
5. Szegö, G.: Inequalities for Certain Membranes of a Given Area. J. Rational Mech. Anal. 3, 343–356 (1954).
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