4 papers
Short-time behavior and invariant surfaces for caloric functions with non-constant boundary values
Diego Berti, Rolando Magnanini, Michele Marini
We consider a Cauchy-Dirichlet problem for a heat equation with variable coefficients in non-divergence form. The initial values are assumed to be homogeneous, while the Dirichlet…
Critical points of solutions of elliptic equations in divergence form in planar non simply connected domains with smooth or nonsmooth boundary
Rolando Magnanini, Serge Nicaise, Madeline Chauvier
We study the critical points of the solution of second elliptic equations in divergence and diagonal form with a bounded and positive definite coefficient, under the assumption tha…
A general integral identity with applications to a reverse Serrin problem
Rolando Magnanini, Riccardo Molinarolo, Giorgio Poggesi
We prove a new general differential identity and an associated integral identity, which entails a pair of solutions of the Poisson equation with constant source term. This generali…
Nonlinear asymptotic mean value characterizations of holomorphic functions
Riccardo Durastanti, Rolando Magnanini
Starting from a characterization of holomorphic functions in terms of a suitable mean value property, we build some nonlinear asymptotic characterizations for complex-valued soluti…