This is a list of variational topics in from mathematics and physics. See calculus of variations for a general introduction.
Action (physics)
Averaged Lagrangian
Brachistochrone curve
Calculus of variations
Catenoid
Cycloid
Dirichlet principle
Euler–Lagrange equation cf. Action (physics)
Fermat's principle
Functional (mathematics)
Functional derivative
Functional integral
Geodesic
Isoperimetry
Lagrangian
Lagrangian mechanics
Legendre transformation
Luke's variational principle
Minimal surface
Morse theory
Noether's theorem
Path integral formulation
Plateau's problem
Prime geodesic
Principle of least action
Soap bubble
Soap film
Tautochrone curve