On the local theory of prescribed Jacobian equations
Analysis of PDEs
2013-04-25 v2
Abstract
We develop the fundamentals of a local regularity theory for prescribed Jacobian equations which extend the corresponding results for optimal transportation equations. In this theory the cost function is extended to a generating function through dependence on an additional scalar variable. In particular we recover in this generality the local regularity theory for potentials of Ma,Trudinger and Wang, along with the subsequent development of the underlying convexity theory.
Keywords
Cite
@article{arxiv.1211.4661,
title = {On the local theory of prescribed Jacobian equations},
author = {Neil S Trudinger},
journal= {arXiv preprint arXiv:1211.4661},
year = {2013}
}
Comments
Reported at conferences in 2011/Revised version