Question

Optimization with integrals

score 491 · Answer 1 · 2017-06-07 06:45:43

491

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Optimization with integrals

Published on 07 Jun 2017 - 6:45

score 51 · Answer 2 · 2017-06-08 18:41:55

51

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Why $\forall \varphi\in W_0^{1,2},\int_\Omega \Delta u\varphi=0\implies \Delta u=0$

Published on 08 Jun 2017 - 18:41

score 439 · Answer 3 · 2026-03-28 13:42:13

439

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Prove that the Lagrangian Density $\mathscr{L}$, which generates a given set of Euler-Lagrange equations, is not unique.

Published on 28 Mar 2026 - 13:42

score 116 · Answer 4 · 2017-06-09 08:30:04

With no knowledge of calculus of variation, is it possible to prove that among closed curves with fixed length in 2D, a circle has the most area?

score 137 · Answer 5 · 2017-06-09 15:37:51

137

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Why in calculus of variation why always want to minimize $\int_\Omega f(x,u(x),u'(x))dx$?

Published on 09 Jun 2017 - 15:37

score 200 · Answer 6 · 2026-03-25 06:04:09

200

Views

Interactive proof assistants (IPA) and automated theorem provers (ATP) for analysis and variational calculus?

Published on 25 Mar 2026 - 6:04

score 325 · Answer 7 · 2017-06-12 08:28:23

Calculus of variations on curves in a manifold $M$ for some $L:\Bbb R\times TM\to\Bbb R$ and $J[\gamma]=\int_a^b L(t,\gamma,\dot\gamma)\,dt$

score 149 · Answer 8 · 2017-06-12 16:36:20

149

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Coordinate free derivation of the E-L equations for the $p$-energy?

Published on 12 Jun 2017 - 16:36

score 299 · Answer 9 · 2026-03-28 12:03:03

299

Views

If an Euler-Lagrange equation is satisfied by all diffeomorphisms, is it Null-Lagrangian?

Published on 28 Mar 2026 - 12:03

score 44 · Answer 10 · 2017-06-13 16:52:13

44

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approximation of sobolev function with boundary data by smooth function

Published on 13 Jun 2017 - 16:52

score 119 · Answer 11 · 2017-06-14 05:49:39

119

Views

Question on Direct Method in Calculus of Variation

Published on 14 Jun 2017 - 5:49

score 64 · Answer 12 · 2026-03-26 12:36:35

64

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A question concerning the functional of a functional of the former functional

Published on 26 Mar 2026 - 12:36

score 212 · Answer 13 · 2026-03-29 14:57:33

212

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Best constant in the endpoint 1d Sobolev embedding

Published on 29 Mar 2026 - 14:57

score 84 · Answer 14 · 2026-03-28 13:32:38

84

Views

Second Order Nonhomogeneous Differential Equation.

Published on 28 Mar 2026 - 13:32

score 798 · Answer 15 · 2026-03-25 23:09:29

798

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Meaning of functional differentiability

Published on 25 Mar 2026 - 23:09

List Question

Optimization with integrals

Why $\forall \varphi\in W_0^{1,2},\int_\Omega \Delta u\varphi=0\implies \Delta u=0$

Prove that the Lagrangian Density $\mathscr{L}$, which generates a given set of Euler-Lagrange equations, is not unique.

With no knowledge of calculus of variation, is it possible to prove that among closed curves with fixed length in 2D, a circle has the most area?

Why in calculus of variation why always want to minimize $\int_\Omega f(x,u(x),u'(x))dx$?

Interactive proof assistants (IPA) and automated theorem provers (ATP) for analysis and variational calculus?

Calculus of variations on curves in a manifold $M$ for some $L:\Bbb R\times TM\to\Bbb R$ and $J[\gamma]=\int_a^b L(t,\gamma,\dot\gamma)\,dt$

Coordinate free derivation of the E-L equations for the $p$-energy?

If an Euler-Lagrange equation is satisfied by all diffeomorphisms, is it Null-Lagrangian?

approximation of sobolev function with boundary data by smooth function

Question on Direct Method in Calculus of Variation

A question concerning the functional of a functional of the former functional

Best constant in the endpoint 1d Sobolev embedding

Second Order Nonhomogeneous Differential Equation.

Meaning of functional differentiability

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