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math.AP2026
-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 .…
math.AP2026
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…
math.AP2026
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…