“Single peak solutions to nonlinear Neumann problems with a nondegeneracy”

Abstract:

There have been enormous studies on singularly perturbed nonlinear elliptic problems with the Neumann boundary condition. As for a single peak solution which concentrates near a point on the boundary of a given domain, its existence for a critical point of the mean curvature and its nonexistence for the regular point of the mean curvature were known only when a certain nondegeneracy holds.

In this talk I would like to explain a purely variational approach to prove the same results without the nondegeneracy.

Tutti gli interessati sono invitati a partecipare.

Classe di Scienze Matematiche e Naturali

Valeria Giuliani

Scuola Normale Superiore

Servizio alla Didattica e Allievi

tel. 050 509260

Piazza dei Cavalieri, 7

56126 Pisa

E-mail: valeria.giuliani@sns.it

E-mail: classi@sns.it