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Dirichlet's principle

Known as: Dirichlets principle, Dirichlets principal, Dirichlet principal 
In mathematics, and particularly in potential theory, Dirichlet's principle is the assumption that the minimizer of a certain energy functional is a… 
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Related topics

Related topics

2 relations

Broader (1)

Calculus of variations
Plateau's problem

Papers overview

Semantic Scholar uses AI to extract papers important to this topic.
Review
2013
Review
2013
Optimal Control Methods and the Variational Approach to Differential Equations
The calculus of variations is an important tool in the study of boundary value problems for differential systems. A development… 
Review
2010
Review
2010
A synopsis of the Dirichlet principle for measured foliations (Infinite dimensional Teichmuller spaces and moduli spaces)
We present the minimum norm or Dirichlet principle for measured foliations on a Riemann surface of finite type. In this setting… 
2010
2010
Short Proof of Dirichlet's Principle
A standard Hilbert-space proof of Dirichlet's principle is simplified, using an observation that a certain form of min-problem… 
2010
2010
ENERGY-FINITE SOLUTIONS OF Au = Pu AND DIRICHLET MAPPINGS
Let R, S be noncompact Riemannian m-manifolds and let T:R—>S be a Dirichlet mapping. Consider a nonnegative locally bounded… 
2010
2010
EXTREMUM PROBLEMS A N D VARIATIONAL METHODS IN CONFORMAL MAPPING
One fundamental problem in the classical theory of conformai mapping was the study of the various types of canonical domains upon… 
2006
2006
Difference and integral calculus on weighted networks
The discrete vector calculus theory is a very fruitful area of work in many mathematical branches not only for its intrinsic… 
2004
2004
What is a quantum Birkhoff normal form around a bouncing ball orbit ?
Let D denote the class of bounded simply connected real analytic plane domains with the symmetry of an ellipse. We announce a… 
2001
2001
HMM Technicalities, Scaling, Periodic Architectures, State Functions, and Dirichlet Mixtures
1998
1998
9801072 g = 1 for Dirichlet 0-branes
Dirichlet 0-branes, considered as extreme Type IIA black holes with spin carried by fermionic hair, are shown to have the… 
1986
1986
Fine potential theory in Dirichlet spaces
Introduction. This article is an extended and revised version of a part of my thesis [17, §§ 6-8], and it should be seen as part… 
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