Top-level heading

Critical points of semi-stable solutions on model spaces

Categoria
Seminari P(n) Problemi Differenziali Non Lineari
Data e ora inizio evento
Data e ora fine evento
Aula
Sala di Consiglio
Sede

Dipartimento di Matematica Guido Castelnuovo, Università Sapienza Roma

Speaker
Luigi Provenzano (Sapienza Università di Roma )
We consider solutions of semilinear equations on domains of the model spaces of constant curvature 

S^2, R^2 and H^2. Under suitable conditions on the domain, we prove uniqueness and non-degeneracy of the critical point. Roughly speaking, a bit less than convexity is required for spherical domains, a bit more for hyperbolic domains. We will also discuss optimality of the conditions. Based on joint works with F. Gladiali and M. Grossi