Keyword

Dirichlet problem

Description: A boundary-value problem in mathematics that seeks a solution to a differential equation matching prescribed values on the domain boundary.

Primary topic: Nonlinear Partial Differential Equations (32%)

Wikidata ID: wiki/Q1192869

OpenAlex ID: keywords/dirichlet-problem

Elliptic Partial Differential Equations of Second Order

2001 · David Gilbarg, Neil S. Trudinger · Classics in mathematics · 18,593

Elliptic Partial Differential Equations of Second Order

1977 · David Gilbarg, Neil S. Trudinger · Grundlehren der mathematischen Wissenschaften · 4,575

Optimal Control of Systems Governed by Partial Differential Equations.

1972 · D. L. Russell, J. L. Lions, et al. · American Mathematical Monthly · 2,922

Problèmes aux limites non homogènes et applications

1968 · Enrico Magenes, Jacques Louis Lions · Medical Entomology and Zoology · 2,699

Foundations of Potential Theory

1967 · Oliver Dimon Kellogg · Springer eBooks · 2,170

Principles of Random Walk

1964 · Frank Spitzer · Springer eBooks · 2,092

Harmonic Mappings of Riemannian Manifolds

1964 · James Eells, J. H. Sampson · American Journal of Mathematics · 2,060

Foundations of Modern Potential Theory

1972 · N. S. Landkof · Springer eBooks · 1,749

The variational multiscale method—a paradigm for computational mechanics

1998 · Thomas J.R. Hughes, Gonzalo R. Feijóo, et al. · Computer Methods in Applied Mechanics and Engineering · 1,667

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The finite element method with Lagrangian multipliers

1973 · Ivo Babuška · Numerische Mathematik · 1,649

Nonlinear Differential Equations

1980 · Susanna Terracini · Studies in applied mechanics · 1,527

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Über ein Variationsprinzip zur Lösung von Dirichlet-Problemen bei Verwendung von Teilräumen, die keinen Randbedingungen unterworfen sind

1971 · J. Nitsche · Abhandlungen aus dem Mathematischen Seminar der Universität Hamburg · 1,492

Rapid solution of integral equations of classical potential theory

1985 · V Rokhlin · Journal of Computational Physics · 1,414

Harmonic Function Theory

1992 · Sheldon Axler, Paul Bourdon, et al. · Graduate texts in mathematics · 1,408

Potential Theory in the Complex Plane

1995 · Thomas Ransford · Cambridge University Press eBooks · 1,375

On Elliptic Partial Differential Equations

2011 · L. Nirenberg · Springer eBooks · 1,293

Foundations of Potential Theory

1929 · Oliver Dimon Kellogg · Springer eBooks · 1,266

Harmonic functions on complete riemannian manifolds

1975 · Shing‐Tung Yau · Communications on Pure and Applied Mathematics · 1,162

Functions of One Complex Variable

1973 · John B. Conway · Graduate texts in mathematics · 1,119

Combined Effects of Concave and Convex Nonlinearities in Some Elliptic Problems

1994 · A. Ambrosetti, H. Brezis, et al. · Journal of Functional Analysis · 1,080

Le problème de Dirichlet pour les équations elliptiques du second ordre à coefficients discontinus

1965 · Guido Stampacchia · Annales de l’institut Fourier · 1,043

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Partial Differential Equations

1964 · P. R. Garabedian · CERN Document Server (European Organization for Nuclear Research) · 969

Lectures on Elliptic Boundary Value Problems.

1966 · A. Friedman, Shmuel Agmon · American Mathematical Monthly · 968

On Harnack's theorem for elliptic differential equations

1961 · Jürgen Moser · Communications on Pure and Applied Mathematics · 886

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

1985 · L. Caffarelli, L. Nirenberg, et al. · Acta Mathematica · 850

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Works count: 19,020

Citation count: 261,100