Best constants in Poincar\'e inequalities for convex domains

L.E. Payne and H.F. Weinberger, An optimal Poincaré inequality for convex domains, Arch. Rational Mech. Anal. 5

1960

Earlier work this paper cites.

B. Kawohl, Rearrangements and convexity of level sets in PDE. Lecture Notes in Mathematics, 1150. Springer-Verlag, Berlin, 1985

1985

Earlier work this paper cites.

G. H. Hardy, J.E. Littlewood and G. Pólya, Inequalities. Reprint of the 1952 edition. Cambridge Mathematical Library. Cambridge University Press, Cambridge, 1988

1988

Earlier work this paper cites.

A. Stanoyevitch, Geometry of Poincaré domains, Doctoral Dissertation, Univ. of Michigan, 1990

1990

Earlier work this paper cites.

A. Stanoyevitch, Products of Poincaré Domains, Proc. Am. Math. Soc. 117

1993

Earlier work this paper cites.

P. Lindqvist, Some remarkable sine and cosine function, Ricerche Mat. 44

1995

Cited alongside, same era.

W. Reichel and W. Walter, Sturm-Liouville type problems for the p p -Laplacian under asymptotic non-resonance conditions, J. Differential Equations 156

1999

Cited alongside, same era.

B. O.Turesson, Nonlinear potential theory and weighted Sobolev spaces. Lecture Notes in Mathematics, 1736. Springer-Verlag, Berlin, 2000

2000

Cited alongside, same era.

R.J. Gardner, The Brunn-Minkowski inequality. Bull. Amer. Math. Soc. 39

2002

Cited alongside, same era.

M. Bebendorf, A note on the Poincaré inequality for convex domains, Z. Anal. Anwendungen 22

2003

Cited alongside, same era.

A. Kufner and L.E. Persson, Weighted inequalities of Hardy type. World Scientific Publishing Co., Inc., River Edge, NJ, 2003

2003

Later among the works it cites.

G. Acosta and R.G. Durán, An optimal Poincaré inequality in L 1 L^{1} for convex domains, Proc. Amer. Math. Soc. 132

2004

Later among the works it cites.

P. Binding, L. Boulton, J. Cepicka, P. Dr‡bek and P. Girg, Basis properties of eigenfunctions of the p p -Laplacian. Proc. Amer. Math. Soc. 134

2006

Later among the works it cites.

V. Maz’ya, Sobolev spaces, Springer-Verlag, 2011

2011

Closest in time.