33 citations · 41 across the 10 of their papers we have counts for
11 papers
How to construct parametrized families of free boundaries near nondegenerate solutions
Lorenzo Cavallina
In this paper, we introduce the notion of variational free boundary problem. Namely, we say that a free boundary problem is variational if its solutions can be characterized as the…
Quantitative stability estimates for a two-phase Serrin-type overdetermined problem
Lorenzo Cavallina, Giorgio Poggesi, Toshiaki Yachimura
In this paper, we deal with an overdetermined problem of Serrin-type with respect to a two-phase elliptic operator in divergence form with piecewise constant coefficients. In parti…
The simultaneous asymmetric perturbation method for overdetermined free boundary problems
Lorenzo Cavallina
In this paper, we introduce a new method for applying the implicit function theorem to find nontrivial solutions to overdetermined problems with a fixed boundary (given) and a free…
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…
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…
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…