24 citations · 168 across the 32 of their papers we have counts for
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math.AP2010
Best constants for the isoperimetric inequality in quantitative form
Marco Cicalese, Gian Paolo Leonardi
We prove existence and regularity of minimizers for a class of functionals defined on Borel sets in . Combining these results with a refinement of the selection principle intr…
math.AP2010
Intersections of intrinsic submanifolds in the Heisenberg group
Gian Paolo Leonardi, Valentino Magnani
In the first Heisenberg group, we show that the intersection of two intrinsic submanifolds with linearly independent horizontal normals locally coincides with the image of an injec…
math.AP2010★ 6 cited
A Selection Principle for the Sharp Quantitative Isoperimetric Inequality
Marco Cicalese, Gian Paolo Leonardi
We introduce a new variational method for the study of stability in the isoperimetric inequality. The method is quite general as it relies on a penalization technique combined with…