List questions from calculus-of-variations

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Proving that this function must be even

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derivatives manipulations

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Partial derivative of an integral operator functional

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How to find $\kappa$ to minimize integral $I = \frac{1}{\kappa}\int\limits_{0}^{T} \mathrm{exp}\left(-f(\kappa,x)\right) \mathrm{d}x$

Published on 01 Feb 2013 - 14:18

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Bolza problem - coercivity: I do not understand the solution I got

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How can I solve an Euler-Lagrange equation that satisfies certain conditions

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How to show that this solution is a minimum.

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Direct Method: How to show that F is weakly lower semicontinuous?

Published on 09 Feb 2013 - 19:37

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Sufficient conditions for Hessian definiteness for critical points of functionals

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Generic nonlinear Galerkin question

Published on 09 Apr 2026 - 18:49

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How can I integrate this?

Published on 09 Apr 2026 - 23:32

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Checking my understanding of $T^*M$ as a symplectic manifold and the links between the classical description of Lagrangians vs this invariant way.

Published on 02 Apr 2026 - 21:17

List Question

Direct Method : coercive and wlsc - proof

Show that minimum exists (direct method)

Proving that this function must be even

Proving that this function must be even (II)

derivatives manipulations

Partial derivative of an integral operator functional

How to find $\kappa$ to minimize integral $I = \frac{1}{\kappa}\int\limits_{0}^{T} \mathrm{exp}\left(-f(\kappa,x)\right) \mathrm{d}x$

Bolza problem - coercivity: I do not understand the solution I got

How can I solve an Euler-Lagrange equation that satisfies certain conditions

How to show that this solution is a minimum.

Direct Method: How to show that F is weakly lower semicontinuous?

Sufficient conditions for Hessian definiteness for critical points of functionals

Generic nonlinear Galerkin question

How can I integrate this?

Checking my understanding of $T^*M$ as a symplectic manifold and the links between the classical description of Lagrangians vs this invariant way.

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