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Question about proof in: Let $f\in L^{1}_{loc}(I)$ with $\int_I f\phi^{'}=0 \, \forall \phi \in C^{1}_c(I)$, then $f = C$ a.e. on $I$.

score 82 · Answer 1 · 2021-11-06 13:50:08

82

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Question about proof in: Let $f\in L^{1}_{loc}(I)$ with $\int_I f\phi^{'}=0 \, \forall \phi \in C^{1}_c(I)$, then $f = C$ a.e. on $I$.

Published on 06 Nov 2021 - 13:50

score 53 · Answer 2 · 2021-11-10 03:58:36

53

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Continuity and limit of integral functional?

Published on 10 Nov 2021 - 3:58

score 148 · Answer 3 · 2021-11-12 08:04:55

148

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surface area maximisation for fixed volume in $\mathbb{R}^3$

Published on 12 Nov 2021 - 8:04

score 259 · Answer 4 · 2021-11-16 09:11:20

259

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Convex function is proper when it has at least one finite value in the relative interior of its effective domain

Published on 16 Nov 2021 - 9:11

score 60 · Answer 5 · 2021-11-26 15:03:47

60

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Solve for the optimality condition from the Lagrangian of an objective function

Published on 26 Nov 2021 - 15:03

score 51 · Answer 6 · 2021-12-04 09:03:09

51

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How to find the exact solution in one dimension?

Published on 04 Dec 2021 - 9:03

score 96 · Answer 7 · 2021-12-05 02:50:17

96

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Calculus of Variation of Parameters.

Published on 05 Dec 2021 - 2:50

score 90 · Answer 8 · 2021-12-09 10:37:09

90

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Confusion about calculus of variations

Published on 09 Dec 2021 - 10:37

score 121 · Answer 9 · 2021-12-09 14:16:37

121

Views

English Translation of a French Theorem by Brezis

Published on 09 Dec 2021 - 14:16

score 84 · Answer 10 · 2021-12-13 12:03:41

84

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References to understand $\frac{d}{dt} d(x,y) = \frac 12 \inf \int_\gamma g'(S,S) ds$, for flows on manifolds

Published on 13 Dec 2021 - 12:03

score 118 · Answer 11 · 2021-12-17 02:00:57

118

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Who that Wirtinger's inequality does not hold when $a>\pi$?

Published on 17 Dec 2021 - 2:00

score 53 · Answer 12 · 2021-12-29 18:41:24

53

Views

Optimal Path Between Two Points in Force Field

Published on 29 Dec 2021 - 18:41

score 119 · Answer 13 · 2021-12-30 14:38:41

119

Views

Taylor's theorem in Gelfand/Fomin's Calculus of Variations

Published on 30 Dec 2021 - 14:38

score 194 · Answer 14 · 2022-01-09 01:36:16

194

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Maximizing $\int_0^\infty (1+xy')^2e^y dx$ subject to $\int_0^\infty e^ydx = 1$

Published on 09 Jan 2022 - 1:36

score 85 · Answer 15 · 2022-01-13 14:56:05

85

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Constrained Calculus of Variations: minimise surface area given volume enclosed

Published on 13 Jan 2022 - 14:56

List Question

Question about proof in: Let $f\in L^{1}_{loc}(I)$ with $\int_I f\phi^{'}=0 \, \forall \phi \in C^{1}_c(I)$, then $f = C$ a.e. on $I$.

Continuity and limit of integral functional?

surface area maximisation for fixed volume in $\mathbb{R}^3$

Convex function is proper when it has at least one finite value in the relative interior of its effective domain

Solve for the optimality condition from the Lagrangian of an objective function

How to find the exact solution in one dimension?

Calculus of Variation of Parameters.

Confusion about calculus of variations

English Translation of a French Theorem by Brezis

References to understand $\frac{d}{dt} d(x,y) = \frac 12 \inf \int_\gamma g'(S,S) ds$, for flows on manifolds

Who that Wirtinger's inequality does not hold when $a>\pi$?

Optimal Path Between Two Points in Force Field

Taylor's theorem in Gelfand/Fomin's Calculus of Variations

Maximizing $\int_0^\infty (1+xy')^2e^y dx$ subject to $\int_0^\infty e^ydx = 1$

Constrained Calculus of Variations: minimise surface area given volume enclosed

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