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math.AP2022★ 2 cited
Density of the boundary regular set of 2d area minimizing currents with arbitrary codimension and multiplicity
Stefano Nardulli, Reinaldo Resende
In the present work, we consider area minimizing currents in the general setting of arbitrary codimension and arbitrary boundary multiplicity. We study the boundary regularity of 2…
math.AP2022★ 1 cited
Multiplicity of solutions to the multiphasic Allen-Cahn-Hilliard system with a small volume constraint on closed parallelizable manifolds
João Henrique Andrade, Jackeline Conrado, Stefano Nardulli +2
We prove the existence of multiple solutions to the Allen--Cahn--Hilliard (ACH) vectorial equation (with two equations) involving a triple-well (triphasic) potential with a small v…
math.DG2022★ 12 cited
The isoperimetric problem via direct method in noncompact metric measure spaces with lower Ricci bounds
Gioacchino Antonelli, Stefano Nardulli, Marco Pozzetta
We establish a structure theorem for minimizing sequences for the isoperimetric problem on noncompact spaces . Under the sole (nec…