List questions from lipschitz-functions

Published on 25 Feb 2017 - 17:01

483

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The origin is not in the convex hull $\Rightarrow$ the set lies in a hemisphere?

Published on 25 Mar 2026 - 22:05

350

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Find a Lipschitz constant for the function $f(t,x)=x(\sin t -x^2)$

Published on 27 Feb 2017 - 13:14

25

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Does the solution for the following IVP's exist from all $t\ge 0$ or only on a finite interval?

Published on 27 Feb 2017 - 16:00

278

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Let $f:\mathbb{R}^n\rightarrow\mathbb{R}$ be convex and $g=\nabla f$ lipschitz with constant $L$. Then $\|g(x)-g(y)\|^2\le L[g(x)-g(y)]\cdot(x-y)$.

Published on 27 Feb 2017 - 21:33

223

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Find a Lipschitz constant for the function 5 - sin(y)

Published on 27 Mar 2026 - 15:05

74

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Consider the Fredholm equation of second kind where K satisfies a Lipschitz condition...

Published on 02 Mar 2017 - 3:45

217

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Lipschitz continous of matrix functions

Published on 02 Mar 2017 - 7:07

87

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Example for a strictly contracting map between spheres

Published on 27 Mar 2026 - 8:49

363

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The image of every strictly non-expanding map between spheres is contained in an open hemisphere?

Published on 25 Mar 2026 - 16:03

729

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Locally Lipschitz maps maps sets with outer measure $0$ to sets with outer measure $0$.

Published on 09 Mar 2017 - 22:01

521

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Check if function is Lipschitz continuous near 0

Published on 11 Mar 2017 - 11:06

418

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How does a function satisfy the Lipschitz condition?

Published on 14 Mar 2017 - 18:49

148

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Is every function Lipschitz in some Riemannian metric?

Published on 15 Mar 2017 - 21:29

211

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A short map is an isometry when restricted to a suitable subset

Published on 25 Mar 2026 - 7:42

List Question

'Uniformly' locally Lipschitz implies continuously differentiable

The origin is not in the convex hull $\Rightarrow$ the set lies in a hemisphere?

Find a Lipschitz constant for the function $f(t,x)=x(\sin t -x^2)$

Does the solution for the following IVP's exist from all $t\ge 0$ or only on a finite interval?

Let $f:\mathbb{R}^n\rightarrow\mathbb{R}$ be convex and $g=\nabla f$ lipschitz with constant $L$. Then $\|g(x)-g(y)\|^2\le L[g(x)-g(y)]\cdot(x-y)$.

Find a Lipschitz constant for the function 5 - sin(y)

Consider the Fredholm equation of second kind where K satisfies a Lipschitz condition...

Lipschitz continous of matrix functions

Example for a strictly contracting map between spheres

The image of every strictly non-expanding map between spheres is contained in an open hemisphere?

Locally Lipschitz maps maps sets with outer measure $0$ to sets with outer measure $0$.

Check if function is Lipschitz continuous near 0

How does a function satisfy the Lipschitz condition?

Is every function Lipschitz in some Riemannian metric?

A short map is an isometry when restricted to a suitable subset

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