List questions from lipschitz-functions

Published on 26 Feb 2026 - 11:16

310

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Lipschitz continuity of square root of sum of matrix squares

Published on 17 Apr 2022 - 13:33

100

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Is there a database/collection of ODEs that are Lipschitz?

Published on 30 Mar 2026 - 20:42

731

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Inequality of convex function with Lipschitz continuous gradient

Published on 21 Apr 2022 - 18:18

197

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Step in the proof of Stepanov's theorem

Published on 22 Apr 2022 - 13:15

612

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The space of bounded Lipschitz continuous functions is dense in that of bounded uniformly continuous functions

Published on 23 Apr 2022 - 11:10

268

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Sequence of Lipschitz continuous functions approaching Holder continuous function

Published on 27 Feb 2026 - 6:00

491

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Convex and Lipschitz implies "bounded" subgradient in Banach spaces

Published on 26 Mar 2026 - 12:52

75

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Show that there exists an infimum for this set of functions

Published on 27 Apr 2022 - 0:02

60

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The space $\operatorname{Lip}_{b}(X)$ is dense in $L_1(X, \mu)$ w.r.t. $\|\cdot\|_{L_1}$

Published on 27 Apr 2022 - 14:40

534

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Counter-example for Lipschitz function

Published on 29 Apr 2022 - 13:55

70

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A lipschitz function $f(x)$ valued in the unit ball has almost everywhere Frechet derivative orthogonal to $f(x)$ if $\|x\|=1$.

Published on 30 Mar 2026 - 1:52

85

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With $UD V^T$ is the SVD of $X$, is $X\mapsto UV^T$ Lipschitz over the set of matrices with full rank and smallest singular value at least $a>0$?

Published on 02 Apr 2026 - 4:32

132

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How to grow the intuition behind this proof?

Published on 29 Mar 2026 - 5:49

19

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Find the area that this DE is lipschitz.

Published on 24 Mar 2026 - 0:57

List Question

$W^{1,\infty}$ convergence vs Lipschitz convergence

Lipschitz continuity of square root of sum of matrix squares

Is there a database/collection of ODEs that are Lipschitz?

Inequality of convex function with Lipschitz continuous gradient

Step in the proof of Stepanov's theorem

The space of bounded Lipschitz continuous functions is dense in that of bounded uniformly continuous functions

Sequence of Lipschitz continuous functions approaching Holder continuous function

Convex and Lipschitz implies "bounded" subgradient in Banach spaces

Show that there exists an infimum for this set of functions

The space $\operatorname{Lip}_{b}(X)$ is dense in $L_1(X, \mu)$ w.r.t. $\|\cdot\|_{L_1}$

Counter-example for Lipschitz function

A lipschitz function $f(x)$ valued in the unit ball has almost everywhere Frechet derivative orthogonal to $f(x)$ if $\|x\|=1$.

With $UD V^T$ is the SVD of $X$, is $X\mapsto UV^T$ Lipschitz over the set of matrices with full rank and smallest singular value at least $a>0$?

How to grow the intuition behind this proof?

Find the area that this DE is lipschitz.

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