1 citations · 1 across the 8 of their papers we have counts for
12 papers
On the minimizer of the barycentric isoperimetric ratio among connected planar sets
Chiara Gambicchia, Aldo Pratelli, Clara Torres-Latorre
Among connected, planar sets, the ratio between the isoperimetric deficit and the squared barycentric asymmetry is known to be bounded from below by a strictly positive constant (a…
The singular set in the thin Stefan problem
Matteo Carducci, Roberto Colombo, Clara Torres-Latorre
We study the singular set of the free boundary for solutions of the thin Stefan problem in , which models the melting of a thin sheet of ice over…
Boundary regularity of harmonic functions in slit domains
Joan Domingo-Pasarin, Pablo Hidalgo-Palencia, Alejandro Martínez +1
We establish precise upper and lower estimates for harmonic functions vanishing on the slit of a slit domain, with no assumption that the slit lies in a hyperplane. The class…
Minimizers for Coulomb gases constrained to a halfspace
Rupert L. Frank, Paata Ivanisvili, Clara Torres-Latorre
We consider a family of optimization problems, based on a mean-field description of particles interacting through Coulomb forces in a quadratic trap. In addition, the particles are…
Boundary estimates for parabolic non-divergence equations in domains
Pêdra D. S. Andrade, Clara Torres-Latorre
We obtain boundary nondegeneracy and regularity estimates for solutions to non-divergence form parabolic equations in parabolic domains, providing explicit moduli of continui…
Existence and nonexistence of infinitely many solutions to elliptic problems with oscillating nonlinearities
Antonio J. Martínez Aparicio, Clara Torres-Latorre
We study sharp conditions for the existence and nonexistence of infinitely many nonnegative solutions to the problem in a bounded domain with Dirichlet boundary co…
The Pohozaev identity for the Spectral Fractional Laplacian
Itahisa Barrios-Cubas, Matteo Bonforte, María del Mar González +1
In this paper, we prove a Pohozaev identity for the Spectral Fractional Laplacian (SFL). This identity allows us to establish non-existence results for the semilinear Dirichlet pro…
Extinction rates for nonradial solutions to the Stefan problem
Gabriele Fioravanti, Xavier Ros-Oton, Clara Torres-Latorre
We consider the one-phase Stefan problem describing the evolution of melting ice. On the one hand, we focus on understanding the evolution of the free boundary near isolated singul…
Boundary estimates for non-divergence equations in domains
Clara Torres-Latorre
We obtain boundary nondegeneracy and regularity estimates for solutions to non-divergence equations in domains, providing an explicit modulus of continuity. Our results exten…
Parabolic boundary Harnack inequalities with right-hand side
Clara Torres-Latorre
We prove the parabolic boundary Harnack inequality in parabolic flat Lipschitz domains by blow-up techniques, allowing for the first time a non-zero right-hand side. Our method all…
Semiconvexity estimates for nonlinear integro-differential equations
Xavier Ros-Oton, Clara Torres-Latorre, Marvin Weidner
In this paper we establish for the first time local semiconvexity estimates for fully nonlinear equations and for obstacle problems driven by integro-differential operators with ge…
Optimal regularity for supercritical parabolic obstacle problems
Xavier Ros-Oton, Clara Torres-Latorre
We study the obstacle problem for parabolic operators of the type , where is an elliptic integro-differential operator of order , such as , in the s…