Seminario del 2022

17 Febbraio
Fabiana Leoni (Sapienza Università di Roma)
New concentration phenomena for radial solutions of fully nonlinear elliptic equations

seminario di analisi matematica

We present recent results about radial solutions of a class of fully nonlinear elliptic Dirichlet problems posed in a ball, driven by the extremal Pucci's operators and provided with power zero order terms. We show that a new critical exponent appears, related to the existence or nonexistence of sign-changing solutions. Furthermore we analyze the new concentration phenomena occurring as the exponents approach the critical values. Based on joint works with A. Iacopetti, G. Galise and F. Pacella.