Sharp Poincaré–Hardy and Poincaré–Rellich inequalities on the hyperbolic space

Analytic and geometric background of recurrence and non-explosion of the Brownian motion on Riemannian manifolds

Alexander Grigorʼyan · Bulletin of the American Mathematical Society · 1999 · 870 citations · Full text

Natural Sciences, Physics, Dynamical Systems +13

BIow-up solutions of some nonlinear elliptic problems

Haïm Brézis · Revista Matemática Complutense · 1997 · 509 citations · Full text

Natural Sciences, Mathematics, Physics +8

The Hardy Inequality and the Asymptotic Behaviour of the Heat Equation with an Inverse-Square Potential

Journal of Functional Analysis · 2000 · 455 citations

Natural Sciences, Physics, Heat Transfer +5

A unified approach to improved $L^p$ Hardy inequalities with best constants

Gerassimos Barbatis, Stathis Filippas, Achilles Tertikas · Transactions of the American Mathematical Society · 2003 · 270 citations · Full text

Natural Sciences, Mathematics, Computational Geometry +5

On the best constant for Hardy’s inequality in $\mathbb {R}^n$

Moshe Marcus, Victor J. Mizel, Yehuda Pinchover · Transactions of the American Mathematical Society · 1998 · 227 citations · Full text

Natural Sciences, Mathematics, Finite Element Analysis +8