List questions from calculus-of-variations

Published on 23 Feb 2026 - 21:11

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Find the extremal functions $y(x)$ of the integral $\int_0^1(y^2-(y')^2)dx$.

Published on 19 Jan 2017 - 9:29

818

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Second variation formula for minimal surfaces

Published on 25 Mar 2026 - 11:08

884

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How to find the equation of line in spherical co-ordinate system?

Published on 23 Jan 2017 - 19:35

258

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Equivalent definition of Wiener capacity

Published on 28 Mar 2026 - 15:26

7k

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Catenary curve for minimum surface of revolution

Published on 26 Jan 2017 - 6:48

177

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How to apply Calculus of Variations to this problem?

Published on 26 Jan 2017 - 18:09

370

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A variational problem where the Euler-Lagrange equation contradicts the boundary conditions

Published on 27 Mar 2026 - 4:16

23

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How to find a plane curve $\gamma$ such that $G\circ\gamma=\Gamma$?

Published on 27 Mar 2026 - 2:02

321

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Show that there is no minimizer for a specific functional.

Published on 31 Jan 2017 - 3:08

633

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Calculus of variations - when $y'$ doesn't exist; example: the isoperimetric problem

Published on 31 Jan 2017 - 17:04

115

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Calculus of Variations PDE constrained

Published on 01 Feb 2017 - 23:56

82

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Inequality - find the maximum possible constant

Published on 02 Feb 2017 - 0:19

960

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Intuition on the Pontryagin principle from Optimal control theory

Published on 27 Mar 2026 - 10:09

309

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Reconstructing a functional from its Euler-Lagrange equations

Published on 25 Mar 2026 - 12:47

List Question

coercive implies bounded, variational principle

Find the extremal functions $y(x)$ of the integral $\int_0^1(y^2-(y')^2)dx$.

Second variation formula for minimal surfaces

How to find the equation of line in spherical co-ordinate system?

Equivalent definition of Wiener capacity

Catenary curve for minimum surface of revolution

How to apply Calculus of Variations to this problem?

A variational problem where the Euler-Lagrange equation contradicts the boundary conditions

How to find a plane curve $\gamma$ such that $G\circ\gamma=\Gamma$?

Show that there is no minimizer for a specific functional.

Calculus of variations - when $y'$ doesn't exist; example: the isoperimetric problem

Calculus of Variations PDE constrained

Inequality - find the maximum possible constant

Intuition on the Pontryagin principle from Optimal control theory

Reconstructing a functional from its Euler-Lagrange equations

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