Concepedia

Isoperimetric inequalities and the gap between the first and second eigenvalues of an Euclidean domain

Shiu‐Yuen Cheng, Kevin Oden

Journal of Geometric Analysis · 1997 · 17 citations · 4 references

DOI

Concepts

References

4

On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

H. J. Brascamp, Élliott H. Lieb · Journal of Functional Analysis · 1976 · 672 citations

, , +10

On the Ratio of Consecutive Eigenvalues

L. E. Payne, Georg Pólya, Hans F. Weinberger · Journal of Mathematics and Physics · 1956 · 324 citations

, , +4

A Sharp Bound for the Ratio of the First Two Eigenvalues of Dirichlet Laplacians and Extensions

Mark S. Ashbaugh, Rafael D. Benguria · Annals of Mathematics · 1992 · 216 citations

, , +8

On the Total Curvature of Immersed Manifolds

Richard Lashof · American Journal of Mathematics · 1957 · 197 citations

, , +13