Concepedia

Dirichlet Conditions

Dirichlet Conditions is a set of sufficient conditions for a periodic function to ensure that its Fourier series converges to the function at every point of continuity, distinguishing it as the foundational criterion in harmonic analysis for the pointwise convergence of Fourier expansions.

2.1K

Publications

87.5K

Citations

3.2K

Authors

1.3K

Institutions

Publications per year

2017–2026

351

Variants

Dirichlet's Conditions

Parents

Publications

2.1K

A Global Uniqueness Theorem for an Inverse Boundary Value Problem

John Sylvester, Günther Uhlmann · Annals of Mathematics · 1987 · 1.5K citations

, , +17

Harmonic Analysis and Discontinuous Groups in Weakly Symmetric Riemannian Spaces With Applications to Dirichlet Series

Atle Selberg · Journal of the Indian Mathematical Society · 1956 · 994 citations

, , +11

The Dirichlet problem for nonlinear second order elliptic equations, III: Functions of the eigenvalues of the Hessian

Luis Caffarelli, Louis Nirenberg, Joel Spruck · Acta Mathematica · 1985 · 883 citations · Full text

, , +14

Existence of solutions for p(x)-Laplacian Dirichlet problem

Xianling Fan, Qihu Zhang · Nonlinear Analysis · 2002 · 820 citations · Full text

, , +11

Quasilinear Dirichlet problems driven by positive sources

D. D. Joseph, T. S. Lundgren · Archive for Rational Mechanics and Analysis · 1973 · 797 citations

, , +12

1–5 of 2.1K

Authors

3.2K

  1. RK
    R. K. Mohanty

    University of Delhi, India

    19 publications · 721 citations

    16

    h-index

  2. SA
    Sergio Albeverio

    University of Bonn, Germany

    16 publications · 963 citations

    14

    h-index

  3. HG
    Hans-Christoph Grunau

    Otto-von-Guericke-Universität Magdeburg, Germany

    12 publications · 536 citations

    12

    h-index

  4. MR
    Michael Röckner

    Bielefeld University, Germany

    11 publications · 775 citations

    11

    h-index

  5. MJ
    Manoj Jain

    Indian Institute of Technology Roorkee, India

    10 publications · 453 citations

    10

    h-index

1–5 of 3.2K

Institutions

1.3K

  1. Centre National de la Recherche Scientifique

    Paris, France

    24 h-index

    92 publications

    3K citations

  2. Sapienza University of Rome

    Rome, Italy

    17 h-index

    37 publications

    1.7K citations

  3. Laboratoire de Mathématiques d'Orsay

    Orsay, France

    16 h-index

    27 publications

    799 citations

  4. Laboratoire de Mathématiques Blaise Pascal

    Aubière, France

    15 h-index

    21 publications

    753 citations

  5. École Polytechnique

    Palaiseau, France

    14 h-index

    23 publications

    886 citations

  6. Sorbonne Université

    Paris, France

    13 h-index

    16 publications

    1K citations

  7. Université Paris-Sud

    Orsay, France

    13 h-index

    18 publications

    1.3K citations

  8. Courant Institute of Mathematical Sciences

    New York, United States

    13 h-index

    24 publications

    2.8K citations

1–8 of 1.3K

Venues

  1. Journal of Functional Analysis

    49 publications · 2.4K citations

    27

    h-index

  2. Transactions of the American Mathematical Society

    TRAN · 43 publications · 2.5K citations

    25

    h-index

  3. 24

    h-index

  4. Journal of Mathematical Analysis and Applications

    46 publications · 1.2K citations

    20

    h-index

  5. Nonlinear Analysis

    34 publications · 2K citations

    20

    h-index

1–5