Question

Calculate the Euler-Lagrange equations for the functional and show that the Euler-Lagrange equations have a solution

score 348 · Answer 1 · 2026-03-29 06:02:27

348

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Calculate the Euler-Lagrange equations for the functional and show that the Euler-Lagrange equations have a solution

Published on 29 Mar 2026 - 6:02

score 64 · Answer 2 · 2026-04-01 23:36:02

64

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Spheres maximize enclosed volume

Published on 01 Apr 2026 - 23:36

score 212 · Answer 3 · 2026-03-29 06:08:04

212

Views

Is there any Euler-Lagrange equation for functions dependent on only $x$ and $y$ and not on $y'$?

Published on 29 Mar 2026 - 6:08

score 84 · Answer 4 · 2021-03-29 12:43:51

84

Views

Strong form of $\int\langle\eta',f\rangle=0$ for all test functions $\eta$ with Dirichlet b.c. and $\langle\eta',T\rangle=0$ for fixed $T(s)$

Published on 29 Mar 2021 - 12:43

score 153 · Answer 5 · 2026-03-29 04:44:02

153

Views

Uniqueness of the weak derivative with the fundamental lemma of the Calculus of Variations

Published on 29 Mar 2026 - 4:44

score 56 · Answer 6 · 2026-03-29 07:38:29

56

Views

System of ODE and Euler-Lagrange equation

Published on 29 Mar 2026 - 7:38

score 48 · Answer 7 · 2026-02-24 02:15:02

48

Views

Solution for $F = \int^{b}_{a}{f(y'(x)) dx} \mbox{ min }$ with $\frac{d }{dp}f(p) = 0$ for $f(x,z,p) = f(p)$ and $f$ is convex.

Published on 24 Feb 2026 - 2:15

score 176 · Answer 8 · 2026-02-24 02:15:02

176

Views

Existence of a global or local minimizer of $F(u) = \int^{b}_{a}{u'(x)^2 + \arctan(u(x)) dx}$

Published on 24 Feb 2026 - 2:15

score 333 · Answer 9 · 2026-04-11 20:56:21

333

Views

Merriman-Bence-Osher scheme for mean curvature flow on graphs for image segmentation

Published on 11 Apr 2026 - 20:56

score 64 · Answer 10 · 2026-04-11 09:25:26

64

Views

Intuition behind regularization of non-coercive variational inequalities

Published on 11 Apr 2026 - 9:25

score 175 · Answer 11 · 2021-04-12 21:46:56

175

Views

$\Gamma$-convergence of minimizers

Published on 12 Apr 2021 - 21:46

score 136 · Answer 12 · 2026-04-11 05:08:23

136

Views

Why do Lagrange multipliers work in function spaces?

Published on 11 Apr 2026 - 5:08

score 160 · Answer 13 · 2021-04-15 07:23:56

160

Views

Reference request: Theorems which ensure the existence of a minimum

Published on 15 Apr 2021 - 7:23

score 96 · Answer 14 · 2021-04-16 20:11:50

96

Views

Can we take the derivative of functionals on the space of smooth scalar fields of a riemannian manifold?

Published on 16 Apr 2021 - 20:11

score 60 · Answer 15 · 2021-04-19 08:57:58

60

Views

Show that the following quantity is super-additive over set.

Published on 19 Apr 2021 - 8:57

List Question

Calculate the Euler-Lagrange equations for the functional and show that the Euler-Lagrange equations have a solution

Spheres maximize enclosed volume

Is there any Euler-Lagrange equation for functions dependent on only $x$ and $y$ and not on $y'$?

Strong form of $\int\langle\eta',f\rangle=0$ for all test functions $\eta$ with Dirichlet b.c. and $\langle\eta',T\rangle=0$ for fixed $T(s)$

Uniqueness of the weak derivative with the fundamental lemma of the Calculus of Variations

System of ODE and Euler-Lagrange equation

Solution for $F = \int^{b}_{a}{f(y'(x)) dx} \mbox{ min }$ with $\frac{d }{dp}f(p) = 0$ for $f(x,z,p) = f(p)$ and $f$ is convex.

Existence of a global or local minimizer of $F(u) = \int^{b}_{a}{u'(x)^2 + \arctan(u(x)) dx}$

Merriman-Bence-Osher scheme for mean curvature flow on graphs for image segmentation

Intuition behind regularization of non-coercive variational inequalities

$\Gamma$-convergence of minimizers

Why do Lagrange multipliers work in function spaces?

Reference request: Theorems which ensure the existence of a minimum

Can we take the derivative of functionals on the space of smooth scalar fields of a riemannian manifold?

Show that the following quantity is super-additive over set.

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