Calculus of Variations and Geometric Measure Theory

N. Gigli - S. J. N. Mosconi

The abstract Lewy Stampacchia inequality and applications

created by mosconi on 18 Jan 2014



Inserted: 18 jan 2014
Last Updated: 18 jan 2014

Year: 2014


We prove an abstract and general version of the Lewy-Stampacchia inequality. We then show how to reproduce more classical versions of it and, more importantly, how it can be used in conjunction with Laplacian comparison estimates to produce large class of functions with bounded Laplacian on spaces with a lower bound on the Ricci curvature.

Keywords: Variational Inequalities, metric measure spaces, Topological Vector Lattices