List questions from calculus-of-variations

Published on 25 Jun 2019 - 23:44

138

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Poincaré-Cartan form and Legendre transformation from the variational principle

Published on 22 Mar 2026 - 11:26

210

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Hamilton's equations arising from a variational principle.

Published on 26 Mar 2026 - 13:42

209

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Maximize $\int_{0}^{1} f(x)^5 dx$ over all $f\colon[0,1]\to[-1,1]$ with $\int_{0}^{1} f(x)^3 dx=\int_{0}^{1} f(x) dx= 0$.

Published on 03 Jul 2019 - 3:42

699

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Euler-Lagrange equation Problem with two variables, and two functions that are related.

Published on 03 Jul 2019 - 14:34

348

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Can we write explicitly the Euler-Lagrange equation of the "pullback functional" $E(f)=\int_M f^*\omega$?

Published on 26 Mar 2026 - 2:55

684

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Mixed Dirichlet Neumann BVP- Existence

Published on 05 Jul 2019 - 10:37

54

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Boundary conditions of Timoshenko equation

Published on 05 Jul 2019 - 13:19

207

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Minimize $\frac{\int_0^1 f(x)\phi''(x)\phi''(x)\,\text{d}x} {\int_0^1 g(x) \phi'(x)\phi'(x)\,\text{d}x}$

Published on 06 Jul 2019 - 14:02

160

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Formula for variation of pullback

Published on 07 Jul 2019 - 16:08

669

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Gradient of squared distance function

Published on 25 Mar 2026 - 17:51

241

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Help with Gelfand and Fomin section 3 theorem 2, calculus of variations

Published on 09 Jul 2019 - 14:02

531

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Lagrange Multipliers for finding Geodesics on a Cylinder

Published on 25 Mar 2026 - 17:52

212

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Coordinate-free description of Noether current

Published on 26 Mar 2026 - 13:50

76

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Functional inequality involving integral of function and derivative

Published on 11 Jul 2019 - 23:18

List Question

The Brachistochrone Problem

Poincaré-Cartan form and Legendre transformation from the variational principle

Hamilton's equations arising from a variational principle.

Maximize $\int_{0}^{1} f(x)^5 dx$ over all $f\colon[0,1]\to[-1,1]$ with $\int_{0}^{1} f(x)^3 dx=\int_{0}^{1} f(x) dx= 0$.

Euler-Lagrange equation Problem with two variables, and two functions that are related.

Can we write explicitly the Euler-Lagrange equation of the "pullback functional" $E(f)=\int_M f^*\omega$?

Mixed Dirichlet Neumann BVP- Existence

Boundary conditions of Timoshenko equation

Minimize $\frac{\int_0^1 f(x)\phi''(x)\phi''(x)\,\text{d}x} {\int_0^1 g(x) \phi'(x)\phi'(x)\,\text{d}x}$

Formula for variation of pullback

Gradient of squared distance function

Help with Gelfand and Fomin section 3 theorem 2, calculus of variations

Lagrange Multipliers for finding Geodesics on a Cylinder

Coordinate-free description of Noether current

Functional inequality involving integral of function and derivative

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