33 citations · 84 across the 23 of their papers we have counts for
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math.AP2020
Local analysis of a two phase free boundary problem concerning mean curvature
Lorenzo Cavallina
We consider an overdetermined problem for a two phase elliptic operator in divergence form with piecewise constant coefficients. We look for domains such that the solution of a…
math.DG2020★ 1 cited
The double queen Dido's problem
Lorenzo Cavallina, Antoine Henrot, Shigeru Sakaguchi
This paper deals with a variation of the classical isoperimetric problem in dimension for a two-phase piecewise constant density whose discontinuity interface is a given h…
math.AP2020
Symmetry breaking solutions for a two-phase overdetermined problem of Serrin-type
Lorenzo Cavallina, Toshiaki Yachimura
In this paper, we consider an overdetermined problem of Serrin-type for a two-phase elliptic operator with piecewise constant coefficients. We show the existence of infinitely many…