Concepedia

Dirichlet Principle

The Dirichlet Principle is a variational principle stating that the solution to Laplace's equation with specified boundary values minimizes the Dirichlet energy integral among all sufficiently smooth functions satisfying the given boundary conditions.

115

Publications

5.1K

Citations

182

Authors

123

Institutions

Publications per year

2017–2026

9

Variants

Dirichlet's Principle

Parents

Publications

115

Weak imposition of Dirichlet boundary conditions in fluid mechanics

Yuri Bazilevs, Thomas J.R. Hughes · Computers & Fluids · 2005 · 481 citations

, , +16

Stochastic differential equations in infinite dimensions: solutions via Dirichlet forms

Sergio Albeverio, Michael Röckner · Probability Theory and Related Fields · 1991 · 232 citations · Full text

, , +16

DIRICHLET'S PRINCIPLE, CONFORMAL MAPPING AND MINIMAL SURFACES

Robert Osserman · Bulletin of the London Mathematical Society · 1979 · 187 citations

, , +6

A Saint-Venant type principle for Dirichlet forms on discontinuous media

Marco Biroli, U. Mosco · Annali di Matematica Pura ed Applicata (1923 -) · 1995 · 182 citations · Full text

, , +16

On the zeros of functions with finite Dirichlet integral and some related function spaces

H. S. Shapiro, A. L. Shields · Mathematische Zeitschrift · 1962 · 141 citations · Full text

, , +8

1–5 of 115

Authors

182

  1. PG
    Pamela Gorkin

    Bucknell University, United States

    2 publications · 55 citations

    2

    h-index

  2. MR
    Michael Röckner

    Bielefeld University, Germany

    2 publications · 328 citations

    2

    h-index

  3. CL
    Cláudio Landim

    Instituto Nacional de Matemática Pura e Aplicada, Brazil

    2 publications · 121 citations

    2

    h-index

  4. PR
    P. R. Garabedian

    New York University, United States

    2 publications · 42 citations

    2

    h-index

  5. SP
    Stephen Prager

    University of Minnesota, United States

    2 publications · 90 citations

    2

    h-index

1–5 of 182

Institutions

123

  1. Courant Institute of Mathematical Sciences

    New York, United States

    3 h-index

    4 publications

    194 citations

  2. University of Helsinki

    Helsinki, Finland

    3 h-index

    4 publications

    103 citations

  3. University of Virginia

    Charlottesville, United States

    2 h-index

    2 publications

    55 citations

  4. Bucknell University

    Lewisburg, United States

    2 h-index

    2 publications

    55 citations

  5. University of Dundee

    Dundee, United Kingdom

    2 h-index

    2 publications

    48 citations

  6. Kiryu University

    Midori, Japan

    2 h-index

    3 publications

    54 citations

  7. Université de Rouen Normandie

    Rouen, France

    2 h-index

    2 publications

    121 citations

  8. Instituto Nacional de Matemática Pura e Aplicada

    Rio de Janeiro, Brazil

    2 h-index

    2 publications

    121 citations

1–8 of 123

Venues

  1. Probability Theory and Related Fields

    6 publications · 485 citations

    6

    h-index

  2. Annals of Mathematics

    3 publications · 79 citations

    3

    h-index

  3. 3

    h-index

  4. Pacific Journal of Mathematics

    3 publications · 71 citations

    3

    h-index

  5. Journal of Differential Equations

    3 publications · 206 citations

    3

    h-index

1–5