Special Session 103: Elliptic, parabolic problems and functional inequalities

Existence of bounded solutions for a class of fourth-order elliptic equations

Salvatore D`Asero
Diaprtimento di Matematica e Informatica - Catania University
Italy
Co-Author(s):    
Abstract:
In this talk we study a class of fourth-order elliptic equations whose principal part satisfies a strengthened coercivity condition. We show that bounded solutions exist when the principal part has degenerate coercivity, or when a lower-order term is added, or when both cases are present. These results are also obtained in collaboration with G. R. Cirmi and S. Leonardi.