List questions from gateaux-derivative | MathQA

Property of the Gâteaux derivative

Published on 27 Jun 2022 - 10:00

Gâteaux differentiable function (with linear continuous Gateaux derivative) that is not Fréchet differentiable

Published on 28 Jun 2022 - 18:41

Conditions for chain rule for Gateaux derivatives

Published on 07 Jul 2022 - 14:22

Composition between Frechet and Gateaux derivative

Published on 12 Sep 2022 - 13:04

Flaw in proof of Jacobi's formula on Wikipedia?

Published on 30 Sep 2022 - 14:42

If $F$ has bounded linear Gateaux derivative at $x_0$, what condition guarantees a Fréchet derivative?

Published on 03 Oct 2022 - 19:37

Calculate first/second variation of the functional $f : V \rightarrow \mathbb{R}$, $y \rightarrow \sin(y(1))$

Published on 31 Oct 2022 - 13:11

Why Gateaux derivative is a distribuition?

Published on 28 Mar 2026 - 4:01

An example of $f$ and $a$ such that $f$ is Gâteaux but not Fréchet differentiable at $a$

Published on 26 Dec 2022 - 10:30

Taylor's theorem with Gateaux derivatives

Published on 06 Jan 2023 - 1:41