Special Session 56: Variational methods for nonlinear PDEs

New ``critical`` thresholds for some quasilinear elliptic problems

Anna Maria Candela
Universit\`a degli Studi di Bari Aldo Moro
Italy
Co-Author(s):    
Abstract:
We consider a family of quasilinear elliptic problems where the classical $p$-Laplacian is replaced by an operator which admits some coefficients depending on the solution itself. Even if such coefficients make the variational approach more difficult, a suitable supercritical growth for the nonlinear term is allowed. These results are part of joint works with G. Palmieri, K. Perera and C. Sportelli.