Spectral gap for spherically symmetric log-concave probability measures, and beyond

Analysis of the Laplacian on the complete Riemannian manifold

Robert S. Strichartz · Journal of Functional Analysis · 1983 · 526 citations

Geometric Partial Differential Equation, Riemannian Geometry, Riemannian Manifold +2

Isoperimetric problems for convex bodies and a localization lemma

Ravi Kannan, László Lovász, Miklós Simonovits · Discrete & Computational Geometry · 1995 · 388 citations · Full text

Integral Geometry, Geometric Partial Differential Equation, Geometry +2

An Isoperimetric Inequality for the N-Dimensional Free Membrane Problem

Hans F. Weinberger · Indiana University Mathematics Journal · 1956 · 216 citations · Full text

Mathematical Programming, Geometric Partial Differential Equation, Free Boundary Problem +2

On the role of convexity in isoperimetry, spectral gap and concentration

Emanuel Milman · Inventiones mathematicae · 2009 · 212 citations

Engineering, Variational Analysis, Physics +7

Estimation of spectral gap for elliptic operators

Mu-Fa Chen, Feng‐Yu Wang · Transactions of the American Mathematical Society · 1997 · 107 citations · Full text

Spectral Theory, Dirichlet Form, Elliptic Equation +13