Speaker
Paolo Marcellini, University of Florence
Abstract
It is an edition, under more general growth conditions, of the celebrated existence theorem of weak solutions to a class of Dirichlet problems for second order nonlinear elliptic equations under the so-called natural growth conditions, published in 1965 by Jean Leray and Jacques-Louis Lions. We describe some existence and regularity results recently obtained in collaboration with G.Cupini and E.Mascolo.