List questions from geometric-measure-theory

Published on 09 Dec 2017 - 18:12

21

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Find percentage value of expression in graph

Published on 13 Dec 2017 - 9:19

463

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Structure of Caccioppoli sets

Published on 28 Mar 2026 - 18:14

617

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Is there a concept of a 'measurable manifold'?

Published on 26 Dec 2017 - 13:45

130

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How to prove that : $\mathcal{H}^{n-2}(\Bbb S_v^{n-2})=|\Bbb S^{n-2}|$

Published on 28 Dec 2017 - 12:22

227

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Proving that a measure equals the spherical measure on $\Bbb S^{n-1}$: namely, $\mu= |\Bbb S^{n-2}|\sigma_{n-1}$

Published on 28 Dec 2017 - 14:26

68

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Proving: $\int_{S^{n-1}}f(x)d\sigma_{n-1}(x)= \int_{\Bbb S^{n-1}}\int_{\Bbb S_v^{n-2}}f(y)\frac{d\sigma_{n-2}(y)}{|\Bbb S^{n-2}|}d\sigma_{n-1}(v) $

Published on 28 Dec 2017 - 19:17

56

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Two integrals in being equivalent

Published on 01 Jan 2018 - 20:29

1.2k

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Calculating the upper Minkowski dimension of the set $\{0,1,\frac{1}{2}, \frac{1}{3}, \ldots \}$

Published on 15 Mar 2011 - 0:48

1.3k

Views

How do we prove that a sphere maximizes the volume enclosed among all simple closed surfaces of given surface area?

Published on 19 Jul 2011 - 19:52

545

Views

How can a density be larger than $1$?

Published on 28 Jul 2011 - 6:44

582

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Symmetry of Solution to Classical 3-Dimensional Isoperimetric Problem

Published on 03 Aug 2011 - 16:54

472

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Ham sandwich theorem for integrable functions?

Published on 11 Aug 2011 - 19:12

1.3k

Views

How to understand currents in geometric measure theory?

Published on 28 Aug 2011 - 6:20

248

Views

Hausdorff measure with non-power test function

Published on 27 Sep 2011 - 9:21

List Question

Curve-free $1$-set has lower density $\leq \frac{3}{4}$

Find percentage value of expression in graph

Structure of Caccioppoli sets

Is there a concept of a 'measurable manifold'?

How to prove that : $\mathcal{H}^{n-2}(\Bbb S_v^{n-2})=|\Bbb S^{n-2}|$

Proving that a measure equals the spherical measure on $\Bbb S^{n-1}$: namely, $\mu= |\Bbb S^{n-2}|\sigma_{n-1}$

Proving: $\int_{S^{n-1}}f(x)d\sigma_{n-1}(x)= \int_{\Bbb S^{n-1}}\int_{\Bbb S_v^{n-2}}f(y)\frac{d\sigma_{n-2}(y)}{|\Bbb S^{n-2}|}d\sigma_{n-1}(v) $

Two integrals in being equivalent

Calculating the upper Minkowski dimension of the set $\{0,1,\frac{1}{2}, \frac{1}{3}, \ldots \}$

How do we prove that a sphere maximizes the volume enclosed among all simple closed surfaces of given surface area?

How can a density be larger than $1$?

Symmetry of Solution to Classical 3-Dimensional Isoperimetric Problem

Ham sandwich theorem for integrable functions?

How to understand currents in geometric measure theory?

Hausdorff measure with non-power test function

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