List questions from lipschitz-functions

Published on 22 Mar 2017 - 21:26

64

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If equality holds, is the derivative constant?

Published on 25 Mar 2017 - 14:15

117

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Uniqueness of Integro-Differential Problem

Published on 26 Mar 2017 - 19:32

181

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Show that $\| f \|_{Lip(\mathbb{R^n})} = \| \nabla f \|_{L^{\infty}{\mathbb{(R^n)}}}.$

Published on 28 Mar 2017 - 2:22

99

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Contradicting definitions of Lipschitz Continuity

Published on 31 Mar 2017 - 13:35

764

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Proving that sum of injective and Lipschitz continuous function is injective?

Published on 03 Apr 2017 - 4:44

127

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how to get the contractive map modulus of a matrix

Published on 04 Apr 2017 - 12:43

63

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Locally differentiable implies locally Lipschitz for multivariable functions

Published on 01 Feb 2023 - 16:06

56

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Proving the limit of lipschitz, complex-analytic function is analytic

Published on 05 Feb 2023 - 4:08

66

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Comparing Lipschitz norm and Sobolev norm on unit interval

Published on 09 Feb 2023 - 2:32

220

Views

Proving an inequality of Lipschitz continuous functions

Published on 09 Feb 2023 - 9:26

57

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How can we check for uniqueness of solution in this example?

Published on 09 Feb 2023 - 12:32

117

Views

When is the composition of Lipschitz and Lp still Lp?

Published on 12 Feb 2023 - 17:01

310

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Boundedness of the norm of gradient by the convex smooth function

Published on 27 Mar 2026 - 22:55

70

Views

$1$-Lipschitz $f:[0,1]^k\to[0,1]^n$ With Maximally Dense Image

Published on 26 Mar 2026 - 4:33

List Question

Prove that $f(t,y(t))=t \sqrt{1-y^2(t)}$ is not Lipschitz on $y$

If equality holds, is the derivative constant?

Uniqueness of Integro-Differential Problem

Show that $\| f \|_{Lip(\mathbb{R^n})} = \| \nabla f \|_{L^{\infty}{\mathbb{(R^n)}}}.$

Contradicting definitions of Lipschitz Continuity

Proving that sum of injective and Lipschitz continuous function is injective?

how to get the contractive map modulus of a matrix

Locally differentiable implies locally Lipschitz for multivariable functions

Proving the limit of lipschitz, complex-analytic function is analytic

Comparing Lipschitz norm and Sobolev norm on unit interval

Proving an inequality of Lipschitz continuous functions

How can we check for uniqueness of solution in this example?

When is the composition of Lipschitz and Lp still Lp?

Boundedness of the norm of gradient by the convex smooth function

$1$-Lipschitz $f:[0,1]^k\to[0,1]^n$ With Maximally Dense Image

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