Lecture notes on Viscosity Solutions for fully nonlinear 2nd order PDE and applications to Calculus of Variations in $L^{\infty }$

Abstract

The purpose of these expository notes is to give a quick and elementary, yet rigorous, presentation of the rudiments of the theory of Viscosity Solutions for fully nonlinear 2nd order PDE, with applications to Calculus of Variations in the space $L^{\infty }$.

This is a preprint. According to the copyright agreement, the final publication is available at Springer via http://dx.doi.org/10.1007/978-3-319-12829-0