Upcoming talks 2025/26
Alba Lia Masiello (INdAM & Università degli Studi di Napoli "Federico")
October 30th, 2025
@ 14:30, Seminar room (2nd floor), Alan Turing Building
Title: Hessian operators, overdetermined problems, and higher order mean curvatures: symmetry and stability results
Abstract: This is a joint work with Nunzia Gavitone, Gloria Paoli and Giorgio Poggesi. It is well known that there is a deep connection between Serrin’s symmetry result – dealing with overdetermined problems involving the Laplacian – and the celebrated Alexandrov’s Soap Bubble Theorem (SBT) – stating that, if the mean curvature H of the boundary of a smooth bounded connected open set Ω is constant, then Ω must be a ball. We want to extend the study of such a connection to the broader case of overdetermined problems for Hessian operators and constant higher order mean curvature boundaries. Our analysis will not only provide new proofs of the higher order SBT (originally established by Ros in [2]) and of the symmetry for overdetermined Serrin-type problems for Hessian equations (originally established by Brandolini, Nitsch, Salani, and Trombetti in [1]), but also bring several benefits, including new interesting symmetry results and quantitative stability estimates.
[1] B. Brandolini, C. Nitsch, P. Salani, and C. Trombetti. On the stability of the Serrin problem. J. Differential Equations, 245(6):1566–1583, 2008.
[2] A. Ros. Compact hypersurfaces with constant higher order mean curvatures. Rev. Mat. Iberoamericana, 3(3-4):447–453, 1987.
Stefano Lisini (Università degli Studi di Pavia)
November 6th, 2025
@ 14:30, Seminar room (2nd floor), Alan Turing Building
Title: TBD
Abstract: TBD
November 20th, 2025
@ 14:30, Seminar room (2nd floor), Alan Turing Building
Title: TBD
Abstract: TBD
Alessandro Carbotti (Università del Salento)
November 27th, 2025
@ 14:30, Seminar room (2nd floor), Alan Turing Building
Title: TBD
Abstract: TBD