List questions from calculus-of-variations

112

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About the functionals $J(y)=\int_0^1y'(x)dx$ and $K(y)=\int_0^1y^2(x)dx$ on the space of functions $y$ in $C^1([0,1])$ such that $y(0)=0$ and $y(1)=1$

Published on 25 Mar 2026 - 1:18

228

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Compact support in calculus of variations

Published on 22 Mar 2026 - 10:31

726

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Euler-Lagrange and total derivative of partial derivative for function of two variables

Published on 22 Mar 2026 - 16:26

59

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Compute $\frac{d}{dx(t)}\int_0^Tx(\tau)^TAx(\tau)d\tau$

Published on 23 Mar 2026 - 11:30

153

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Minimizing the size of a cylinder sliding in a tube

Published on 25 Mar 2026 - 11:14

199

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Minimization of the integral of the squared modulus of the gradient over an annulus

Published on 17 Mar 2026 - 20:50

90

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Paper in Calculus of Variation: Question on why $\;\inf \{ E_1(u)\}\;$ can't be less than $\;\min \{E_1(u)\}\;$

Published on 25 Mar 2026 - 13:34

290

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Extremal curves in the plane which make a line integral stationary

Published on 18 Mar 2026 - 10:14

60

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Exercise in Calculus of Variation: Upper bound for energy functional

Published on 18 Mar 2026 - 0:59

253

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Interior Gradient Estimate for the p-Elliptic equation

Published on 22 Mar 2026 - 5:08

321

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Energy Functional from the Euler-Lagrange Equations

Published on 23 Mar 2026 - 0:48

125

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an Optimal control problem : infinite time horizon and free end point

Published on 22 Mar 2026 - 6:59

119

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Find differential equation using variation principle and lagrangian

Published on 22 Mar 2026 - 22:07

230

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Euler-Lagrange equations without lower boundary conditions

Published on 22 Mar 2026 - 19:55

95

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Derive the Euler-Lagrange Equations for this minimisation problem

Published on 18 Mar 2026 - 1:22

List Question

About the functionals $J(y)=\int_0^1y'(x)dx$ and $K(y)=\int_0^1y^2(x)dx$ on the space of functions $y$ in $C^1([0,1])$ such that $y(0)=0$ and $y(1)=1$

Compact support in calculus of variations

Euler-Lagrange and total derivative of partial derivative for function of two variables

Compute $\frac{d}{dx(t)}\int_0^Tx(\tau)^TAx(\tau)d\tau$

Minimizing the size of a cylinder sliding in a tube

Minimization of the integral of the squared modulus of the gradient over an annulus

Paper in Calculus of Variation: Question on why $\;\inf \{ E_1(u)\}\;$ can't be less than $\;\min \{E_1(u)\}\;$

Extremal curves in the plane which make a line integral stationary

Exercise in Calculus of Variation: Upper bound for energy functional

Interior Gradient Estimate for the p-Elliptic equation

Energy Functional from the Euler-Lagrange Equations

an Optimal control problem : infinite time horizon and free end point

Find differential equation using variation principle and lagrangian

Euler-Lagrange equations without lower boundary conditions

Derive the Euler-Lagrange Equations for this minimisation problem

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