35 citations · 82 across the 31 of their papers we have counts for
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math.AP2016★ 1 cited
An epiperimetric inequality for the regularity of some free boundary problems: the -dimensional case
Luca Spolaor, Bozhidar Velichkov
Using a direct approach, we prove a -dimensional epiperimetric inequality for the one-phase problem in the scalar and vectorial cases and for the double-phase problem. From this…
math.AP2016
Quantitative estimate on singularities in isoperimetric clusters
Maria Colombo, Luca Spolaor
We prove a quantitative estimate on the number of certain singularities in almost minimizing clusters. In particular, we consider the singular points belonging to the lowest stratu…
math.AP2016★ 1 cited
On the number of singular points for planar multivalued harmonic functions
Francesco Ghiraldin, Luca Spolaor
In this note we give a quantitative estimate on the number of singular points of multiplicity of a -dimensional -valued energy minimizing map, in terms of the value of it…