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math.AP2021★ 1 cited
Isoperimetric clusters in homogeneous spaces via concentration compactness
Matteo Novaga, Emanuele Paolini, Eugene Stepanov +1
We show the existence of generalized clusters of a finite or even infinite number of sets, with minimal total perimeter and given total masses, in metric measure spaces homogeneous…
math.AP2021
On exterior differential systems involving differentials of Hölder functions
Eugene Stepanov, Dario Trevisan
We study the validity of an extension of Frobenius theorem on integral manifolds for some classes of Pfaff-type systems of partial differential equations involving multidimensional…