Question

Deriving the Euler-Lagrange Equation using the Gateaux Derivative

score 432 · Answer 1 · 2026-04-12 04:20:50

432

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Deriving the Euler-Lagrange Equation using the Gateaux Derivative

Published on 12 Apr 2026 - 4:20

score 245 · Answer 2 · 2026-04-16 09:19:07

245

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Generalization of Fermat stationary point theorem

Published on 16 Apr 2026 - 9:19

score 183 · Answer 3 · 2026-04-15 18:28:56

183

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Show $\int\frac{f(u+\varepsilon v)-f(u)}\varepsilon\:{\rm d}\mu\xrightarrow{\varepsilon\to0}\int f'(u)v\:{\rm d}\mu$ for a large class of $f,u,v$

Published on 15 Apr 2026 - 18:28

score 68 · Answer 4 · 2026-04-13 06:29:49

68

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Is it possible for a function $f:\mathbb R\to\mathbb R$ to be differentiable in each direction, but not Gâteaux/Fréchet differentiable?

Published on 13 Apr 2026 - 6:29

score 292 · Answer 5 · 2026-04-14 05:39:20

292

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Generalisation of characterisation of continuous Fréchet-differentiability to infinite dimensions

Published on 14 Apr 2026 - 5:39

score 198 · Answer 6 · 2026-04-15 15:30:32

198

Views

What does the symbol $D_{\phi}v$ mean

Published on 15 Apr 2026 - 15:30

score 1.3k · Answer 7 · 2026-04-12 16:07:54

1.3k

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Frechet/Gateaux differentiability of an integral operator $L^2 \rightarrow R$

Published on 12 Apr 2026 - 16:07

score 89 · Answer 8 · 2026-04-13 10:05:44

89

Views

Simple question about convergence and Gateaux derivative

Published on 13 Apr 2026 - 10:05

score 119 · Answer 9 · 2026-04-12 13:10:46

119

Views

Identity criterion for Gateaux deriative

Published on 12 Apr 2026 - 13:10

score 1.9k · Answer 10 · 2026-04-07 23:05:38

1.9k

Views

Functional Derivative (Gateaux variation) of functional with convolution

Published on 07 Apr 2026 - 23:05

score 72 · Answer 11 · 2026-04-21 21:33:59

72

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Fréchet and Gateaux derivations

Published on 21 Apr 2026 - 21:33

score 80 · Answer 12 · 2026-03-25 15:12:15

80

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Equivalent definition of convexity with $\theta \in (0,1)$ instead of $[0,1]$.

Published on 25 Mar 2026 - 15:12

score 420 · Answer 13 · 2026-04-13 20:12:09

420

Views

Is the Gateaux differential an inner product if the Frechet derivative exists?

Published on 13 Apr 2026 - 20:12

score 345 · Answer 14 · 2026-03-25 15:12:12

345

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Variational derivative of derivative of $f$ with respect to $f$ at a point

Published on 25 Mar 2026 - 15:12

score 216 · Answer 15 · 2026-03-25 15:17:49

216

Views

A definition of differentiability that comprises Fréchet, Hadamard, and Gâteaux differentiability as special cases

Published on 25 Mar 2026 - 15:17

List Question

Deriving the Euler-Lagrange Equation using the Gateaux Derivative

Generalization of Fermat stationary point theorem

Show $\int\frac{f(u+\varepsilon v)-f(u)}\varepsilon\:{\rm d}\mu\xrightarrow{\varepsilon\to0}\int f'(u)v\:{\rm d}\mu$ for a large class of $f,u,v$

Is it possible for a function $f:\mathbb R\to\mathbb R$ to be differentiable in each direction, but not Gâteaux/Fréchet differentiable?

Generalisation of characterisation of continuous Fréchet-differentiability to infinite dimensions

What does the symbol $D_{\phi}v$ mean

Frechet/Gateaux differentiability of an integral operator $L^2 \rightarrow R$

Simple question about convergence and Gateaux derivative

Identity criterion for Gateaux deriative

Functional Derivative (Gateaux variation) of functional with convolution

Fréchet and Gateaux derivations

Equivalent definition of convexity with $\theta \in (0,1)$ instead of $[0,1]$.

Is the Gateaux differential an inner product if the Frechet derivative exists?

Variational derivative of derivative of $f$ with respect to $f$ at a point

A definition of differentiability that comprises Fréchet, Hadamard, and Gâteaux differentiability as special cases

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