Concepedia

Alexandrov’s theorem revisited

Matías G. Delgadino, Francesco Maggi

Analysis & PDE · 2019 · 41 citations · 12 references

Open access

Abstract

We show that among sets of finite perimeter balls are the only\nvolume-constrained critical points of the perimeter functional.\n

References

12

Minimal Varieties in Riemannian Manifolds

James Simons · Annals of Mathematics · 1968 · 1.5K citations

Riemannian Geometry, Global Geometry, Minimal Varieties +1

FUNCTIONS OF BOUNDED VARIATION AND FREE DISCONTINUITY PROBLEMS (Oxford Mathematical Monographs) <i>By</i> L<scp>UIGI</scp> A<scp>MBROSIO</scp>, N<scp>ICOLO</scp> F<scp>UCSO</scp> and D<scp>IEGO</scp> P<scp>ALLARA</scp>: 434 pp., £55.00, <scp>ISBN</scp> 0-19-850254-1 (Clarendon Press, Oxford, 2000).

Ronald Gariepy · Bulletin of the London Mathematical Society · 2001 · 1.3K citations

Diego Pallara, Oxford Mathematical Monographs, Engineering +9

On the First Variation of a Varifold

William K. Allard · Annals of Mathematics · 1972 · 811 citations

Integral Geometry, First Variation, Global Geometry +8

A global compactness result for elliptic boundary value problems involving limiting nonlinearities

Michaël Struwe · Mathematische Zeitschrift · 1984 · 744 citations

Elliptic Equation, Free Boundary Problem, Global Compactness Result +4

Counterexample to a conjecture of H. Hopf

Henry C. Wente · Pacific Journal of Mathematics · 1986 · 374 citations · Full text