Concepedia

Minkowski's Existence Theorem

Minkowski's Existence Theorem is a fundamental result in convex geometry that establishes the existence and uniqueness of a convex body with a prescribed Gaussian curvature measure, provided the measure is symmetric and has its centroid at the origin.

72

Publications

4K

Citations

104

Authors

72

Institutions

Publications per year

2017–2026

21

Variants

Minkowski Existence Theorem

Parents

Publications

72

On extensions of the Brunn-Minkowski and Prékopa-Leindler theorems, including inequalities for log concave functions, and with an application to the diffusion equation

H. J. Brascamp, Élliott H. Lieb · Journal of Functional Analysis · 1976 · 672 citations

, , +10

On the regularity of solutions to a generalization of the Minkowski problem

Erwin Lutwak, Vladimir Oliker · Journal of Differential Geometry · 1995 · 221 citations · Full text

, , +11

Minkowski-Type Theorems and Least-Squares Clustering

Franz Aurenhammer, Friedrich Hoffmann, Boris Aronov · Algorithmica · 1998 · 212 citations

, , +9

On the Lp Minkowski Problem for Polytopes

Daniel Hug, Erwin Lutwak, Deane Yang et al. · Discrete & Computational Geometry · 2005 · 208 citations · Full text

, , +12

Extended affine surface area

Erwin Lutwak · Advances in Mathematics · 1991 · 153 citations

, , +15

1–5 of 72

Authors

104

  1. JL
    Jian Lu

    Zhejiang University of Technology, China

    4 publications · 137 citations

    4

    h-index

  2. EL
    Erwin Lutwak

    SUNY Polytechnic Institute, United States

    3 publications · 582 citations

    3

    h-index

  3. XW
    Xu‐Jia Wang

    Australian National University, Australia

    3 publications · 61 citations

    3

    h-index

  4. GX
    Ge Xiong

    Tongji University, China

    3 publications · 67 citations

    3

    h-index

  5. JM
    Janusz Matkowski

    University of Zielona Góra, Poland

    3 publications · 62 citations

    3

    h-index

1–5 of 104

Institutions

72

  1. Shanghai University

    Shanghai, China

    5 h-index

    8 publications

    393 citations

  2. University of Freiburg

    Freiburg im Breisgau, Germany

    3 h-index

    5 publications

    370 citations

  3. Tongji University

    Shanghai, China

    3 h-index

    4 publications

    108 citations

  4. South China Normal University

    Guangzhou, China

    3 h-index

    3 publications

    88 citations

  5. Zhejiang University

    Hangzhou, China

    2 h-index

    4 publications

    88 citations

  6. Memorial University of Newfoundland

    St. John's, Canada

    2 h-index

    2 publications

    24 citations

  7. University of Minnesota

    Minneapolis, United States

    2 h-index

    2 publications

    151 citations

  8. McGill University

    Montreal, Canada

    2 h-index

    2 publications

    97 citations

1–8 of 72

Venues

  1. Proceedings of the American Mathematical Society

    PROC · 4 publications · 74 citations

    4

    h-index

  2. Advances in Mathematics

    4 publications · 303 citations

    4

    h-index

  3. Journal of Functional Analysis

    3 publications · 734 citations

    3

    h-index

  4. 3

    h-index

  5. Journal of Differential Geometry

    3 publications · 360 citations

    3

    h-index

1–5