Concepedia

Variational Principles

Variational Principles is a foundational concept in mathematical physics that belongs to the class of mathematical methods for determining the equations of motion or field equations, distinguished by its formulation in terms of the extremization of an action functional defined over admissible configurations of a physical system.

7.3K

Publications

417.4K

Citations

9.1K

Authors

2.4K

Institutions

Publications per year

2017–2026

861

Parents

Children

Publications

7.3K

A variational approach to the theory of the elastic behaviour of multiphase materials

Zvi Hashin, S. Shtrikman · Journal of the Mechanics and Physics of Solids · 1963 · 5.7K citations

, , +12

Optimal approximations by piecewise smooth functions and associated variational problems

David Mumford, Jayant Shah · Communications on Pure and Applied Mathematics · 1989 · 5.2K citations · Full text

, , +13

Dual variational methods in critical point theory and applications

Antonio Ambrosetti, Paul H. Rabinowitz · Journal of Functional Analysis · 1973 · 4.4K citations

, , +14

An Introduction to Variational Methods for Graphical Models

Michael I. Jordan, Zoubin Ghahramani, Tommi Jaakkola et al. · Machine Learning · 1999 · 3.8K citations · Full text

, , +12

Affine Invariant Flows in the Beltrami Framework

Journal of Mathematical Imaging and Vision · 2004 · 3.3K citations

, , +10

1–5 of 7.3K

Authors

9.1K

  1. JH
    Ji‐Huan He

    Soochow University, China

    46 publications · 4K citations

    31

    h-index

  2. MA
    Muhammad Aslam Noor

    COMSATS University Islamabad, Pakistan

    61 publications · 3.2K citations

    29

    h-index

  3. JE
    Jerrold E. Marsden

    California Institute of Technology, United States

    24 publications · 4.4K citations

    22

    h-index

  4. DB
    Dumitru Bǎleanu

    Çankaya University, Türkiye

    24 publications · 1.2K citations

    20

    h-index

  5. AB
    Anjan Biswas

    King Abdulaziz University, Saudi Arabia

    21 publications · 1.4K citations

    19

    h-index

1–5 of 9.1K

Institutions

2.4K

  1. Centre National de la Recherche Scientifique

    Paris, France

    49 h-index

    244 publications

    13K citations

  2. California Institute of Technology

    Pasadena, United States

    40 h-index

    112 publications

    16.5K citations

  3. University of California, Berkeley

    Berkeley, United States

    37 h-index

    89 publications

    6.8K citations

  4. Massachusetts Institute of Technology

    Cambridge, United States

    37 h-index

    84 publications

    7.9K citations

  5. Courant Institute of Mathematical Sciences

    New York, United States

    33 h-index

    63 publications

    13.4K citations

  6. The University of Texas at Austin

    Austin, United States

    30 h-index

    107 publications

    4.7K citations

  7. New York University

    New York, United States

    27 h-index

    74 publications

    10.2K citations

  8. University of California, Los Angeles

    Los Angeles, United States

    27 h-index

    72 publications

    12.8K citations

1–8 of 2.4K

Venues

  1. Archive for Rational Mechanics and Analysis

    136 publications · 12.8K citations

    57

    h-index

  2. Journal of Mathematical Analysis and Applications

    251 publications · 13.5K citations

    52

    h-index

  3. Nonlinear Analysis

    203 publications · 7.7K citations

    49

    h-index

  4. Journal of Differential Equations

    139 publications · 6.3K citations

    43

    h-index

  5. Journal of Optimization Theory and Applications

    131 publications · 5.4K citations

    41

    h-index

1–5