Paolo Marcellini: The Leray-Lions existence theorem under general growth conditions

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.