Concepedia

Variational Stability

Variational Stability is a theoretical construct in the calculus of variations that characterizes the robustness of a functional's minimizer under perturbations of its domain or parameters, distinguishing it by ensuring that small variations in input or boundary conditions yield correspondingly small changes in the minimizing solution.

478

Publications

21.2K

Citations

766

Authors

468

Institutions

Publications per year

2017–2026

50

Parents

Publications

478

Hyers-Ulam stability of functional equations in several variables

Gian Luigi Forti · Aequationes Mathematicae · 1995 · 457 citations

, , +12

Dynamical systems and variational inequalities

Paul Dupuis, Anna Nagurney · Annals of Operations Research · 1993 · 450 citations

, , +13

On the Stability of Differentially Rotating Bodies

D. Lynden–Bell, Jeremiah P. Ostriker · Monthly Notices of the Royal Astronomical Society · 1967 · 327 citations · Full text

, , +12

Variational properties of functions of the mean curvatures for hypersurfaces in space forms

Robert C. Reilly · Journal of Differential Geometry · 1973 · 313 citations · Full text

, , +12

Berry-phase treatment of the homogeneous electric field perturbation in insulators

R. W. Nunes, Xavier Gonze · Physical review. B, Condensed matter · 2001 · 305 citations · Full text

, , +15

1–5 of 478

Authors

766

  1. BS
    Boris S. Mordukhovich

    Wayne State University, United States

    27 publications · 1.3K citations

    22

    h-index

  2. JV
    Jiří V. Outrata

    Czech Academy of Sciences, Institute of Information Theory and Automation, Czechia

    6 publications · 314 citations

    6

    h-index

  3. TT
    T. T. A. Nghia

    Wayne State University, United States

    6 publications · 248 citations

    6

    h-index

  4. RT
    R. T. Rockafellar

    University of Washington, United States

    5 publications · 385 citations

    5

    h-index

  5. JY
    Jen‐Chih Yao

    National Sun Yat-sen University, Taiwan

    5 publications · 179 citations

    5

    h-index

1–5 of 766

Institutions

468

  1. Wayne State University

    Detroit, United States

    16 h-index

    25 publications

    978 citations

  2. Centre National de la Recherche Scientifique

    Paris, France

    12 h-index

    18 publications

    707 citations

  3. The University of Texas at Austin

    Austin, United States

    8 h-index

    10 publications

    264 citations

  4. Technion – Israel Institute of Technology

    Haifa, Israel

    7 h-index

    9 publications

    247 citations

  5. Sichuan University

    Chengdu, China

    6 h-index

    12 publications

    503 citations

  6. Courant Institute of Mathematical Sciences

    New York, United States

    6 h-index

    7 publications

    411 citations

  7. University of Washington

    Seattle, United States

    5 h-index

    5 publications

    326 citations

  8. King Fahd University of Petroleum and Minerals

    Dhahran, Saudi Arabia

    5 h-index

    5 publications

    156 citations

1–8 of 468

Venues

  1. Journal of Mathematical Analysis and Applications

    41 publications · 2.2K citations

    25

    h-index

  2. Nonlinear Analysis

    29 publications · 1.4K citations

    20

    h-index

  3. SIAM Journal on Optimization

    17 publications · 1.1K citations

    16

    h-index

  4. Journal of Optimization Theory and Applications

    12 publications · 512 citations

    11

    h-index

  5. Journal of Global Optimization

    9 publications · 371 citations

    9

    h-index

1–5