Geometria Complessa e Geometria Differenziale
Geometria Complessa e Geometria Differenziale
home | mail | papers | authors | news | seminars | events | open positions | login

On the stability of solutions of semilinear elliptic equations with Robin boundary conditions on Riemannian manifolds

Catherine Bandle

created by risa on 25 Sep 2015

28 sep 2015 -- 14:30

Aula di Consiglio, Dip. Matematica, Università "La Sapienza", Roma


We investigate existence and nonexistence of stationary stable non constant solutions, i.e. patterns, of semilinear parabolic problems in bounded domains of Riemannian manifolds satisfying Robin boundary conditions. These problems arise in several models in applications, in particular in Mathematical Biology. We point out the role both of the nonlinearity and of geometric objects such as the Ricci curvature of the manifold, the second fundamental form of the boundary of the domain and its mean curvature. Special attention is devoted to surfaces of revolution and to spherically symmetric manifolds, where we prove refined results (in collaboration with Paolo Mastrolia, Dario Monticelli and Fabio Punzo).

Credits | Cookie policy | HTML 5 | CSS 2.1