List questions from calculus-of-variations

Published on 11 Apr 2026 - 7:40

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Find the minimum of this functional

Published on 13 Apr 2026 - 17:25

45

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Diagonal part of Functional Derivative

Published on 13 Apr 2026 - 12:40

95

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Given $\delta{S} = \left( p\,\delta{q} \right)_{\alpha = 0},$ prove that $ \frac{\partial S}{\partial q} = p.$

Published on 30 Mar 2026 - 2:06

248

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Limitation of Lagrange Multipliers

Published on 13 Apr 2026 - 12:26

130

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$L^p$-norm of the derivative = $p$-variation?

Published on 12 Apr 2026 - 19:39

103

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Solving $\min\int_{0}^{1} \left( x^2 + 2tx + tx\dot{x} + \dot{x}^2 \right) {\rm d} t$ with $x(0)=0$ and $x(1)=1$

Published on 30 Mar 2026 - 2:07

44

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Solving $\min\int_{a}^{1}t\dot{x}^2 dt$, with $x(a)=0$ and $x(1)=1$

Published on 05 Dec 2022 - 16:15

82

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Sobolev space $H^1(\Omega)$ vs homogeneous Sobolev/Beppo-Levi space $\dot{H}^1(\Omega)$

Published on 28 Mar 2026 - 17:25

41

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Is there an area of maths in which a group of symmetries of a closed curve in a space is studied? For any closed smooth enough curve that is

Published on 02 Apr 2026 - 12:27

48

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Derivative of volume functional of a variation

Published on 11 Apr 2026 - 6:07

70

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Trying to verify saddle surface is a minimal surface

Published on 13 Apr 2026 - 1:08

70

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Euler equation of a function in a function.

Published on 11 Apr 2026 - 12:43

128

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How do we vary the Einstein-Hilbert Action?

Published on 07 Apr 2026 - 23:10

56

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Calculus of variations and integrating $\left(\frac{dy}{dx}\right)^2=\alpha^2(1+x)$

Published on 16 Dec 2022 - 16:52

List Question

Geodesics on a sphere without using spherical coordinates.

Find the minimum of this functional

Diagonal part of Functional Derivative

Given $\delta{S} = \left( p\,\delta{q} \right)_{\alpha = 0},$ prove that $ \frac{\partial S}{\partial q} = p.$

Limitation of Lagrange Multipliers

$L^p$-norm of the derivative = $p$-variation?

Solving $\min\int_{0}^{1} \left( x^2 + 2tx + tx\dot{x} + \dot{x}^2 \right) {\rm d} t$ with $x(0)=0$ and $x(1)=1$

Solving $\min\int_{a}^{1}t\dot{x}^2 dt$, with $x(a)=0$ and $x(1)=1$

Sobolev space $H^1(\Omega)$ vs homogeneous Sobolev/Beppo-Levi space $\dot{H}^1(\Omega)$

Is there an area of maths in which a group of symmetries of a closed curve in a space is studied? For any closed smooth enough curve that is

Derivative of volume functional of a variation

Trying to verify saddle surface is a minimal surface

Euler equation of a function in a function.

How do we vary the Einstein-Hilbert Action?

Calculus of variations and integrating $\left(\frac{dy}{dx}\right)^2=\alpha^2(1+x)$

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