Concepedia

Isoperimetric Problems

Isoperimetric Problems is a classical class of constrained optimization problems in the calculus of variations wherein the extremization of a functional is subject to integral constraints, distinguishing it from free optimization problems by the imposition of fixed boundary conditions on auxiliary functionals.

769

Publications

38.7K

Citations

913

Authors

486

Institutions

Publications per year

2017–2026

99

Variants

Isoperimetric Problem

Parents

Publications

769

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

, , +13

λ1, Isoperimetric inequalities for graphs, and superconcentrators

Noga Alon, Vitali Milman · Journal of Combinatorial Theory Series B · 1985 · 866 citations

, , +6

Concentration of measure and isoperimetric inequalities in product spaces

Michel Talagrand · Publications mathématiques de l IHÉS · 1995 · 862 citations

, , +12

A random polynomial-time algorithm for approximating the volume of convex bodies

Martin Dyer, Alan Frieze, Ravi Kannan · Journal of the ACM · 1991 · 701 citations · Full text

, , +12

Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

Nicola Garofalo, Duy-Minh Nhieu · Communications on Pure and Applied Mathematics · 1996 · 546 citations

, , +10

1–5 of 769

Authors

913

  1. FM
    Frank Morgan

    Williams College, United States

    14 publications · 785 citations

    13

    h-index

  2. AP
    Aldo Pratelli

    Friedrich-Alexander-Universität Erlangen-Nürnberg, Germany

    13 publications · 1K citations

    12

    h-index

  3. FM
    Francesco Maggi

    The University of Texas at Austin, United States

    11 publications · 1.1K citations

    11

    h-index

  4. MR
    Manuel Ritoré

    Universidad de Granada, Spain

    12 publications · 542 citations

    11

    h-index

  5. EM
    Emanuel Milman

    Technion – Israel Institute of Technology, Israel

    8 publications · 403 citations

    8

    h-index

1–5 of 913

Institutions

486

  1. University of Naples Federico II

    Naples, Italy

    21 h-index

    42 publications

    1.8K citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    16 h-index

    25 publications

    2K citations

  3. Stanford University

    Stanford, United States

    13 h-index

    19 publications

    687 citations

  4. Williams College

    Williamstown, United States

    12 h-index

    22 publications

    848 citations

  5. Universidad de Granada

    Granada, Spain

    12 h-index

    23 publications

    1.1K citations

  6. Georgia Institute of Technology

    Atlanta, United States

    12 h-index

    16 publications

    533 citations

  7. ETH Zurich

    Zurich, Switzerland

    11 h-index

    14 publications

    493 citations

  8. University of Florence

    Florence, Italy

    10 h-index

    11 publications

    1.2K citations

1–8 of 486

Venues

  1. Transactions of the American Mathematical Society

    TRAN · 26 publications · 1.2K citations

    19

    h-index

  2. Proceedings of the American Mathematical Society

    PROC · 20 publications · 707 citations

    17

    h-index

  3. 17

    h-index

  4. Journal of Functional Analysis

    17 publications · 744 citations

    15

    h-index

  5. 14

    h-index

1–5