Calculus of variations

Table of contents

Geometric flow

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Minimal surfaces

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Morse theory

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Variational formalism of general relativity

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Action (physics)

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Almgren–Pitts min-max theory

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Bounded variation

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Brunn–Minkowski theorem

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Caccioppoli set

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Carathéodory function

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Convenient vector space

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Direct method in the calculus of variations

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Dirichlet's principle

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Dirichlet energy

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Energy principles in structural mechanics

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Euler–Lagrange equation

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First variation

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Fundamental lemma of the calculus of variations

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Geodesics on an ellipsoid

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Geometric analysis

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Hamilton's principle

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Hilbert's nineteenth problem

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Hilbert's twentieth problem

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History of variational principles in physics

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Isoperimetric inequality

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Lagrange multipliers on Banach spaces

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Lagrangian system

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List of variational topics

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Maupertuis's principle

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Minkowski's first inequality for convex bodies

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Minkowski–Steiner formula

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Morse–Palais lemma

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Mountain pass theorem

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Nehari manifold

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Newton's minimal resistance problem

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Noether's theorem

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Obstacle problem

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Palais–Smale compactness condition

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Path of least resistance

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Plateau's problem

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Pseudo-monotone operator

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Quasiconvexity (calculus of variations)

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Regularized canonical correlation analysis

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Saint-Venant's theorem

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Signorini problem

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Stampacchia Medal

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Transversality (mathematics)

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Variational inequality

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Variational principle

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Variational vector field

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Weierstrass–Erdmann condition

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Calculus of variations by

Ciro Santilli 34  Updated 2024-12-15  +Created 1970-01-01

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Calculus of variations is the field that searches for maxima and minima of Functionals, rather than the more elementary case of functions from

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