Sull’equazione det Du = f senza ipotesi di segno

We consider the nonlinear problem det?u (x) = f (x) x ? u (x) = x x ? ? where k ? 1 is an integer, is a bounded smooth domain in Rn and f ? Ck ???? satisfies Zf (x) dx = meas. The positivity of f is a standard assumption in the literature. In a recent joint paper with B.Dacorogna and O.Kneuss (EPFL)...

Full description

Bibliographic Details
Main Author: Giovanni Cupini
Format: Article
Language:English
Published: University of Bologna 2010-12-01
Series:Bruno Pini Mathematical Analysis Seminar
Online Access:http://mathematicalanalysis.unibo.it/article/view/2258