List questions from calculus-of-variations

Published on 27 Mar 2026 - 14:11

25

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Minima must satisfy Euler -Lagrange equation?

Published on 29 Jun 2023 - 12:02

53

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What is the differential on the space of trajectories and why does it anti-commute with the regular differential on $\mathbb{R}$?

Published on 30 Mar 2026 - 1:30

60

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A Question on Calculus of Variation

Published on 23 Feb 2026 - 15:30

60

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Prove that Euler-Lagrange equations remain the same

Published on 23 Feb 2026 - 17:21

87

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Find the function $y(x)$ that minimises $ \int_1^2{x^4[y''(x)]^2dx}$

Published on 23 Feb 2026 - 17:25

17

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unknown manipulation to deal with variation and obtain energy balance equation?

Published on 14 Mar 2026 - 5:41

24

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Prove that if the cone is cut along a generator and flattened into a plane, then the geodesic becomes a straight line.

Published on 27 Mar 2026 - 13:20

56

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If $I'$ is bounded, then the mapping $u \mapsto d(u,A) + d(u,B)$ is bounded below

Published on 07 Jul 2023 - 21:51

43

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Check the second variation is positive for brachistochrone problem.

Published on 27 Mar 2026 - 14:10

105

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What is a variation, and what does it mean for it to be differentiable?

Published on 10 Jul 2023 - 14:52

51

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Constrained minimization of a simple quadratic functional gone wrong

Published on 11 Jul 2023 - 17:02

78

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Help Understanding Perelman's $\mathcal{L}$-geodesic Equation

Published on 25 Mar 2026 - 7:41

57

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Minimising $\int_{-\infty}^{x_0}\cos\left(C-f(x)\right)e^{x-x_0}\mathop{\mathrm dx}$

Published on 27 Mar 2026 - 14:02

51

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Minimizing a functional constrained to maximizing another

Published on 14 Jul 2023 - 16:34

List Question

Doubt regarding Euler-Lagrange equations for a constrained system

Minima must satisfy Euler -Lagrange equation?

What is the differential on the space of trajectories and why does it anti-commute with the regular differential on $\mathbb{R}$?

A Question on Calculus of Variation

Prove that Euler-Lagrange equations remain the same

Find the function $y(x)$ that minimises $ \int_1^2{x^4[y''(x)]^2dx}$

unknown manipulation to deal with variation and obtain energy balance equation?

Prove that if the cone is cut along a generator and flattened into a plane, then the geodesic becomes a straight line.

If $I'$ is bounded, then the mapping $u \mapsto d(u,A) + d(u,B)$ is bounded below

Check the second variation is positive for brachistochrone problem.

What is a variation, and what does it mean for it to be differentiable?

Constrained minimization of a simple quadratic functional gone wrong

Help Understanding Perelman's $\mathcal{L}$-geodesic Equation

Minimising $\int_{-\infty}^{x_0}\cos\left(C-f(x)\right)e^{x-x_0}\mathop{\mathrm dx}$

Minimizing a functional constrained to maximizing another

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