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20102026
most citedLipschitz regularity of the eigenfunctions on optimal domains

37 citations · 115 across the 22 of their papers we have counts for

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Showing 2011 · math.FAShow all

3 papers · 2 filters

math.FA2011★ 4 cited

Existence of minimizers for spectral problems

Dario Mazzoleni, Aldo Pratelli

In this paper we show that any increasing functional of the first k eigenvalues of the Dirichlet Laplacian admits a (quasi-)open minimizer among the subsets of R^N of unit measure.…

math.FA2011★ 14 cited

Existence of isoperimetric regions in with density

Frank Morgan, Aldo Pratelli

We prove the existence of isoperimetric regions in with density under various hypotheses on the growth of the density. Along the way we prove results on the boundedness of i…

math.FA2011

A planar bi-Lipschitz extension Theorem

Sara Daneri, Aldo Pratelli

We prove that, given a planar bi-Lipschitz homeomorphism defined on the boundary of the unit square, it is possible to extend it to a function of the whole square, in such…