Higher-order L isoperimetric and Sobolev inequalities

Normal and Integral Currents

Herbert Fédérer, Wendell H. Fleming · Annals of Mathematics · 1960 · 981 citations

Engineering, Electrical Engineering, Physics +10

The Brunn-Minkowski-Firey theory. I. Mixed volumes and the Minkowski problem

Erwin Lutwak · Journal of Differential Geometry · 1993 · 838 citations · Full text

Natural Sciences, Mathematics, Physics +8

Sharp Sobolev Inequalities on the Sphere and the Moser--Trudinger Inequality

William Beckner · Annals of Mathematics · 1993 · 712 citations

Natural Sciences, Physics, Geography Of Inequality +10

The Brunn–Minkowski–Firey Theory II

Erwin Lutwak · Advances in Mathematics · 1996 · 604 citations · Full text

Natural Sciences, Mathematics, Physics +10

A mass-transportation approach to sharp Sobolev and Gagliardo–Nirenberg inequalities

D. Cordero-Erausquin, Bruno Nazaret, Cédric Villani · Advances in Mathematics · 2003 · 385 citations

Engineering, Physics, Stochastic Processes +13