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Cheeger's constant in balls and isoperimetric inequality on Riemannian manifolds

open access: yes, 2008
We prove isoperimetric inequality on a Riemannian manifold, assuming that the Cheeger constant for balls satisfies a certain ...

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The isoperimetric inequality on Euclidean space and on surfaces

open access: yes
This master’s thesis focuses on the analysis of the isoperimetric problem, which involves finding shapes that enclose the maximum volume with a given boundary area. We examine this problem both in Euclidean space and on hypersurfaces. In the Euclidean
Codina Baró, Gerard
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