Category:Calculus of variations

A

• Action (physics) (1 C, 2 P)
• Variational analysis (4 C, 15 P)

G

• Geodesic (mathematics) (19 P)
• Geometric flow (9 P)

M

• Minimal surfaces (1 C, 35 P)
• Morse theory (17 P)

O

• Optimal control (43 P)

V

• Variational formalism of general relativity (4 P)
• Variational principles (6 P)

• Calculus of variations
• List of variational topics
• Variational principle

A

• Action (physics)
• Almgren–Pitts min-max theory

B

• Beltrami identity
• Boué–Dupuis formula
• Bounded variation
• Brunn–Minkowski theorem

C

• Caccioppoli set
• Carathéodory function
• Chaplygin problem
• Convenient vector space
• Costate equation

D

• De Donder–Weyl theory
• Direct method in the calculus of variations
• Dirichlet energy
• Dirichlet's principle

E

• Energy principles in structural mechanics
• Envelope theorem
• Euler–Lagrange equation

F

• Fermat's principle
• First variation
• Functional derivative
• Fundamental lemma of the calculus of variations

G

• Γ-convergence
• Geodesics on an ellipsoid
• Geometric analysis

H

• Hamilton's principle
• Hilbert's nineteenth problem
• Hilbert's twentieth problem
• History of variational principles in physics
• Homicidal chauffeur problem
• Hu–Washizu principle

I

• Inverse problem for Lagrangian mechanics
• Isoperimetric inequality

L

• Lagrange multipliers on Banach spaces
• Lagrangian (field theory)
• Lagrangian system
• Legendre–Clebsch condition

M

• Malliavin calculus
• Maupertuis's principle
• Minkowski–Steiner formula
• Minkowski's first inequality for convex bodies
• Morse–Palais lemma
• Mosco convergence
• Mountain pass theorem

N

• Nehari manifold
• Newton's minimal resistance problem
• Noether identities
• Noether's second theorem
• Noether's theorem
• Normalized solution (mathematics)
• Normalized solutions (nonlinear Schrödinger equation)

O

• Obstacle problem
• Ostrogradsky instability

P

• Palais–Smale compactness condition
• Path of least resistance
• Plateau's problem
• Polyconvex function
• Pseudo-monotone operator

Q

• Quasiconvexity (calculus of variations)

R

• Regularized canonical correlation analysis

S

• Saint-Venant's theorem
• Signorini problem
• Stampacchia Medal

T

• Tonelli's theorem (functional analysis)
• Transportation theory (mathematics)
• Transversality (mathematics)

V

• Variational bicomplex
• Variational inequality
• Variational vector field

W

• Weierstrass–Erdmann condition