33 citations · 41 across the 11 of their papers we have counts for
9 papers · 1 filter
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…
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…
A characterization of a hyperplane in two-phase heat conductors
Lorenzo Cavallina, Shigeru Sakaguchi, Seiichi Udagawa
We consider the Cauchy problem for the heat diffusion equation in the whole Euclidean space consisting of two media with different constant conductivities, where initially one has…