21 citations · 39 across the 17 of their papers we have counts for
5 papers · 1 filter
-Laplace Serrin problem on planar annuli
Virginia Agostiniani, Chiara Bernardini
We prove a rigidity result for the problem defined on a ring-shaped domain in , when homogeneous Dirichlet boundary conditions are imposed and .…
Estimates for the p-Green function near the pole
Stefano Borghini, Virginia Agostiniani
We study the asymptotic expansion of p-Green functions and their derivatives near the pole. In the Euclidean setting, we strengthen a theorem from [arXiv:2203.01206] by establishin…
Riemannian Penrose Inequality for Manifolds with Corners via Non-Linear Potential Theory
Virginia Agostiniani, Christina Karapiperi, Lorenzo Mazzieri
We present a new proof of the Positive Mass Theorem and the Riemannian Penrose Inequality for three-dimensional asymptotically flat Riemannian manifolds whose metrics fail to be $C…
Mass-type invariants in the presence of a cosmological constant
Virginia Agostiniani, Stefano Borghini, Lorenzo Mazzieri
In this paper, we introduce a new family of mass-type invariants for time-symmetric initial data in space-times satisfying the Dominant Energy Condition. For positive cosmological…
Singularly Perturbed Gradient Flows and Evolution of Critical Points in Infinite Dimensions
Virginia Agostiniani, Riccarda Rossi, Giuseppe Savaré
We consider singularly perturbed gradient flows in Hilbert spaces, driven by a time-dependent, nonconvex, and nonsmooth energy, and address the convergence of their solutions to cu…