List questions from calculus-of-variations

Published on 29 Mar 2026 - 13:27

283

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How do I find the loop passing through certain points which maximizes a one form integral?

Published on 11 Apr 2026 - 3:28

88

Views

How can I find a function that minimizes this given cost function?

Published on 12 Apr 2026 - 5:08

113

Views

Euler-Lagrange equation, derivative calculation

Published on 09 Apr 2026 - 11:20

187

Views

How to find the extremum in this variational problem?

Published on 10 Apr 2026 - 17:29

45

Views

Showing that a maximum exist for a semi lower sequentially continuous mapping from Hilbert space to R

Published on 12 Apr 2026 - 1:11

68

Views

Minimization of a classic functional over $H^1(\Omega)$

Published on 09 Apr 2026 - 11:06

94

Views

Free boundary geodesics as a critical point of the energy functional

Published on 31 Mar 2026 - 5:22

47

Views

If $c_n \nearrow c$ then $\lim_n \inf_{\pi \in \Pi(\mu, \nu)} \int c_n d\pi = \inf_{\pi \in \Pi(\mu, \nu)} \int c d\pi$

Published on 09 Apr 2026 - 18:23

62

Views

How to write the Euler-Langrange equation of elliptic PDE containing $\nabla$ like $\Delta u + \nabla u . \theta = f$.

Published on 17 May 2022 - 15:28

70

Views

Is this shorter attempt on the existence of the maximizer in Kantorovich duality is correct?

Published on 18 May 2022 - 9:30

84

Views

Quasiconvexity via dominated convergence theorem in Dacorogna

Published on 12 Apr 2026 - 20:14

83

Views

Largest area with given perimeter, one straight edge

Published on 13 Apr 2026 - 2:39

149

Views

Find curve that minimizes lenght, with integral constraint

Published on 29 Mar 2026 - 20:50

100

Views

Fredholm alternative vs variational methods

Published on 10 Apr 2026 - 8:34

List Question

Prove that $g$ is constant on the interval when it's distributional derivative is zero.

How do I find the loop passing through certain points which maximizes a one form integral?

How can I find a function that minimizes this given cost function?

Euler-Lagrange equation, derivative calculation

How to find the extremum in this variational problem?

Showing that a maximum exist for a semi lower sequentially continuous mapping from Hilbert space to R

Minimization of a classic functional over $H^1(\Omega)$

Free boundary geodesics as a critical point of the energy functional

If $c_n \nearrow c$ then $\lim_n \inf_{\pi \in \Pi(\mu, \nu)} \int c_n d\pi = \inf_{\pi \in \Pi(\mu, \nu)} \int c d\pi$

How to write the Euler-Langrange equation of elliptic PDE containing $\nabla$ like $\Delta u + \nabla u . \theta = f$.

Is this shorter attempt on the existence of the maximizer in Kantorovich duality is correct?

Quasiconvexity via dominated convergence theorem in Dacorogna

Largest area with given perimeter, one straight edge

Find curve that minimizes lenght, with integral constraint

Fredholm alternative vs variational methods

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