List questions from lipschitz-functions

Published on 03 Sep 2016 - 10:25

291

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How can I prove this estimation of the Lipschitz constant of the mollifier: $[u_\epsilon]_\leq [u]$?

Published on 03 Sep 2016 - 17:25

212

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If $V,W$ are Banach spaces, $\Omega\subseteq V$ is open, $f:\Omega\to W$ is differentiable and ${\rm D}f$ is bounded, then $f$ is Lipschitz continuous

Published on 03 Sep 2016 - 19:03

329

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Surjective nonexpanding map between metric spaces with the same diameter is an isometry?

Published on 25 Mar 2026 - 6:01

266

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Does $u_h \rightharpoonup u$ in $*w-W^{1,\infty}$ imply $(u_h)$ equi lipschitz?

Published on 06 Sep 2016 - 15:44

551

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Lipschitz continuity in product metric spaces in terms of (certain) marginal sets

Published on 23 Feb 2026 - 0:50

497

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Show that $f$ satisfies a Lipschitz condition on $E$

Published on 15 Sep 2016 - 2:46

364

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Approximation of Lipschitz function in uniform norm

Published on 22 Sep 2016 - 18:07

2.1k

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Local Lipschitz continuity of x⋅sin(1/x) at $0$

Published on 24 Sep 2016 - 7:37

32

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How to obtain the minimizer given the function?

Published on 25 Sep 2016 - 0:31

825

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Lipschitz constant for $f(x,y)=e^x \sin y$

Published on 03 Oct 2016 - 20:44

235

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How to calculate the Lipschitz constant(or Lipschitz norm) for $|x|$?

Published on 04 Oct 2016 - 8:04

1.3k

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Lipschitz continuity and $l^1$ norm

Published on 04 Oct 2016 - 13:04

154

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Is a boundary which consists of boundaries of balls Lipschitz?

Published on 09 Oct 2016 - 14:09

552

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Differentiability of Complex Valued Lipschitz Functions

Published on 10 Oct 2016 - 10:01

List Question

Proving that function F is a Lipschitz function

How can I prove this estimation of the Lipschitz constant of the mollifier: $[u_\epsilon]_\leq [u]$?

If $V,W$ are Banach spaces, $\Omega\subseteq V$ is open, $f:\Omega\to W$ is differentiable and ${\rm D}f$ is bounded, then $f$ is Lipschitz continuous

Surjective nonexpanding map between metric spaces with the same diameter is an isometry?

Does $u_h \rightharpoonup u$ in $*w-W^{1,\infty}$ imply $(u_h)$ equi lipschitz?

Lipschitz continuity in product metric spaces in terms of (certain) marginal sets

Show that $f$ satisfies a Lipschitz condition on $E$

Approximation of Lipschitz function in uniform norm

Local Lipschitz continuity of x⋅sin(1/x) at $0$

How to obtain the minimizer given the function?

Lipschitz constant for $f(x,y)=e^x \sin y$

How to calculate the Lipschitz constant(or Lipschitz norm) for $|x|$?

Lipschitz continuity and $l^1$ norm

Is a boundary which consists of boundaries of balls Lipschitz?

Differentiability of Complex Valued Lipschitz Functions

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