Question

When is checking local min along every line restriction sufficienct to determine local min?

score 60 · Answer 1 · 2023-06-07 01:57:07

60

Views

When is checking local min along every line restriction sufficienct to determine local min?

Published on 07 Jun 2023 - 1:57

score 229 · Answer 2 · 2023-06-13 07:16:01

229

Views

Variational formulation of the Burgers' equation

Published on 13 Jun 2023 - 7:16

score 84 · Answer 3 · 2026-03-26 12:58:00

84

Views

Soft enforcement of boundary constraints in linear PDE

Published on 26 Mar 2026 - 12:58

score 48 · Answer 4 · 2023-06-17 11:51:49

48

Views

Is indepedence of pair of functions equivalent to pointwise orthogonal gradients?

Published on 17 Jun 2023 - 11:51

score 52 · Answer 5 · 2026-03-27 14:02:29

52

Views

Extremizing an Integral which is the RHS of a Differential Equation

Published on 27 Mar 2026 - 14:02

score 413 · Answer 6 · 2023-06-20 14:36:41

413

Views

Is the following proof of the Du Bois-Reymond lemma valid?

Published on 20 Jun 2023 - 14:36

score 52 · Answer 7 · 2023-06-20 17:43:54

52

Views

How do I fix this exercise regarding approximation using mollifiers?

Published on 20 Jun 2023 - 17:43

score 119 · Answer 8 · 2023-06-23 08:39:55

119

Views

Do I really need a separable dual to extract a weakly convergent subsequence out of a bounded sequence in a reflexive Banach space?

Published on 23 Jun 2023 - 8:39

score 38 · Answer 9 · 2026-03-26 06:01:36

38

Views

Last step in $\nabla_z f(x,y,z), \partial_y f(x,y,z)\le c(1+|y|^{p-1}+|z|^{p-1})$ imply $ f(x,y,z)\le c(1+|y|^p+|z|^p)$

Published on 26 Mar 2026 - 6:01

score 29 · Answer 10 · 2023-06-23 21:44:25

29

Views

If $\forall (u_m)_{m\in\mathbb N} \subseteq X$ s.t $\lim ||u_m|| = \infty $it follows that $\lim J(u_m) = \infty$ Then, $J$ is seq. weakly coercive

Published on 23 Jun 2023 - 21:44

score 124 · Answer 11 · 2023-06-24 10:07:26

124

Views

Help understanding the proof of (sequential weak) coercivity of the Dirichlet integral $I(u)=\int_{\Omega}|\nabla u(x)|^2 dx$

Published on 24 Jun 2023 - 10:07

score 104 · Answer 12 · 2023-06-24 19:56:20

104

Views

Is proving sequential weak lower semicontinuity of a functional over a subset of a Sobolev space the same as proving it over the whole space?

Published on 24 Jun 2023 - 19:56

score 33 · Answer 13 · 2023-06-25 21:54:07

33

Views

Partial Derivatives application

Published on 25 Jun 2023 - 21:54

score 64 · Answer 14 · 2026-02-23 15:36:13

64

Views

Extending the fundamental lemma of the calculus of variations so that the integral is proportional to the endpoint of the integrand

Published on 23 Feb 2026 - 15:36

score 108 · Answer 15 · 2023-06-26 21:40:09

108

Views

Dido's problem using parameterized variables

Published on 26 Jun 2023 - 21:40

List Question

When is checking local min along every line restriction sufficienct to determine local min?

Variational formulation of the Burgers' equation

Soft enforcement of boundary constraints in linear PDE

Is indepedence of pair of functions equivalent to pointwise orthogonal gradients?

Extremizing an Integral which is the RHS of a Differential Equation

Is the following proof of the Du Bois-Reymond lemma valid?

How do I fix this exercise regarding approximation using mollifiers?

Do I really need a separable dual to extract a weakly convergent subsequence out of a bounded sequence in a reflexive Banach space?

Last step in $\nabla_z f(x,y,z), \partial_y f(x,y,z)\le c(1+|y|^{p-1}+|z|^{p-1})$ imply $ f(x,y,z)\le c(1+|y|^p+|z|^p)$

If $\forall (u_m)_{m\in\mathbb N} \subseteq X$ s.t $\lim ||u_m|| = \infty $it follows that $\lim J(u_m) = \infty$ Then, $J$ is seq. weakly coercive

Help understanding the proof of (sequential weak) coercivity of the Dirichlet integral $I(u)=\int_{\Omega}|\nabla u(x)|^2 dx$

Is proving sequential weak lower semicontinuity of a functional over a subset of a Sobolev space the same as proving it over the whole space?

Partial Derivatives application

Extending the fundamental lemma of the calculus of variations so that the integral is proportional to the endpoint of the integrand

Dido's problem using parameterized variables

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