33 citations · 42 across the 19 of their papers we have counts for
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math.AP2021
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…
math.AP2021
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…
math.AP2021
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…