List questions from geometric-measure-theory

205

Views

Application of Fubini theorem to a proof of the coarea formula, or why the product of $\mathcal H^{n-m}$ with $\mathcal L^m$ equals $\mathcal L^n$

Published on 06 Apr 2021 - 16:31

288

Views

Determinantal formula for the volume of a convex hull

Published on 09 Apr 2021 - 14:17

116

Views

Proof of isoperimetric inequality in $\mathbb R^n$

Published on 10 Apr 2021 - 9:27

163

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Scaling Property of Hausdorff Measure

Published on 26 Mar 2026 - 21:27

28

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Mixture / Union of Measures defined on disjoint subsets

Published on 25 Apr 2021 - 15:39

98

Views

Transform an integral from Hausdorff to Lebesgue

Published on 26 Mar 2026 - 16:26

299

Views

The diameter of Voronoi cells in Euclidean spaces

Published on 29 Apr 2021 - 8:49

442

Views

$\delta$- hausdorff measure of open ball

Published on 26 Mar 2026 - 21:26

75

Views

Show that $\frac1{|\partial B_r(x)|}\int_{\partial B_r(x)}f\xrightarrow{r\to0+}f(x)$

Published on 03 May 2021 - 11:29

99

Views

Hausdorff Measure of a Compact segment in $\mathbb R$ has infinite hausdorff measure for $s < 1$

Published on 26 Mar 2026 - 17:53

21

Views

Taking Limits in Inequality for Hausdorff Measure

Published on 26 Mar 2026 - 16:26

210

Views

Hausdorff Dimension of a set in R under the image of Continous map

Published on 26 Mar 2026 - 17:53

100

Views

Geometrical introduction to Caccioppoli sets

Published on 11 May 2021 - 16:17

484

Views

Sobolev spaces with respect to divergence and their properties

Published on 23 Feb 2026 - 22:22

27

Views

Measure formuation of a conservation law

Published on 15 May 2021 - 15:39

List Question

Application of Fubini theorem to a proof of the coarea formula, or why the product of $\mathcal H^{n-m}$ with $\mathcal L^m$ equals $\mathcal L^n$

Determinantal formula for the volume of a convex hull

Proof of isoperimetric inequality in $\mathbb R^n$

Scaling Property of Hausdorff Measure

Mixture / Union of Measures defined on disjoint subsets

Transform an integral from Hausdorff to Lebesgue

The diameter of Voronoi cells in Euclidean spaces

$\delta$- hausdorff measure of open ball

Show that $\frac1{|\partial B_r(x)|}\int_{\partial B_r(x)}f\xrightarrow{r\to0+}f(x)$

Hausdorff Measure of a Compact segment in $\mathbb R$ has infinite hausdorff measure for $s < 1$

Taking Limits in Inequality for Hausdorff Measure

Hausdorff Dimension of a set in R under the image of Continous map

Geometrical introduction to Caccioppoli sets

Sobolev spaces with respect to divergence and their properties

Measure formuation of a conservation law

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