Concepedia

Laplace's Equation

Laplace's Equation is a second-order partial differential equation that describes the condition under which the scalar potential, whether electric or gravitational, is source-free in a region, characterized by the vanishing of the Laplacian operator applied to the potential.

1.9K

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90.3K

Citations

3.3K

Authors

1.4K

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Publications per year

2017–2026

290

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Publications

1.9K

New development in freefem++

Frédéric Hecht · Journal of Numerical Mathematics · 2012 · 3.3K citations · Full text

, , +17

The Laplace Transform. By D. V. Widder. Pp. x, 406. 36s. 1941. Princeton Mathematical series, 6. (Princeton University Press; Humphrey Milford)

T. A. A. B. · The Mathematical Gazette · 1943 · 1.6K citations

, , +13

Regularity of the obstacle problem for a fractional power of the laplace operator

Luís Silvestre · Communications on Pure and Applied Mathematics · 2006 · 1.3K citations

, , +8

Local behavior of solutions of quasi-linear equations

James Serrin · Acta Mathematica · 1964 · 1K citations · Full text

, , +11

Variational free energy and the Laplace approximation

Karl Friston, Jérémie Mattout, Nelson J. Trujillo‐Barreto et al. · NeuroImage · 2006 · 952 citations

, , +14

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Authors

3.3K

  1. CL
    Chein‐Shan Liu

    National Taiwan Ocean University, Taiwan

    20 publications · 697 citations

    16

    h-index

  2. TW
    Ting Wei

    Lanzhou University, China

    9 publications · 331 citations

    9

    h-index

  3. EV
    Enrico Valdinoci

    University of Milan, Italy

    9 publications · 1.1K citations

    9

    h-index

  4. BS
    Berardino Sciunzi

    University of Calabria, Italy

    8 publications · 662 citations

    8

    h-index

  5. RS
    Raffaella Servadei

    University of Calabria, Italy

    8 publications · 1.1K citations

    8

    h-index

1–5 of 3.3K

Institutions

1.4K

  1. Centre National de la Recherche Scientifique

    Paris, France

    23 h-index

    89 publications

    3.8K citations

  2. National Taiwan Ocean University

    Keelung, Taiwan

    18 h-index

    46 publications

    1.9K citations

  3. Lanzhou University

    Lanzhou, China

    17 h-index

    69 publications

    2.4K citations

  4. Sapienza University of Rome

    Rome, Italy

    15 h-index

    24 publications

    1K citations

  5. University of Minnesota

    Minneapolis, United States

    15 h-index

    25 publications

    3.3K citations

  6. University of Cambridge

    Cambridge, United Kingdom

    14 h-index

    20 publications

    796 citations

  7. Delft University of Technology

    Delft, The Netherlands

    14 h-index

    20 publications

    657 citations

  8. Universidad Nacional Autónoma de México

    Mexico City, Mexico

    12 h-index

    24 publications

    1.2K citations

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Venues

  1. Nonlinear Analysis

    54 publications · 1.8K citations

    25

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  2. Journal of Mathematical Analysis and Applications

    49 publications · 1.5K citations

    24

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  3. Journal of Differential Equations

    37 publications · 1.7K citations

    20

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  4. Communications in Partial Differential Equations

    21 publications · 1.3K citations

    18

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  5. Journal of Applied Physics

    28 publications · 1.8K citations

    18

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