Continuity in two dimensions for a very degenerate elliptic equation
Analysis of PDEs
2009-09-16 v1
Abstract
An elliptic equation div(F(Du)) = f whose ellipticity strongly degenerates for small values of Du (say, F = 0 on B(0,1)) is considered. The aim is to prove regularity for F(Du). The paper proves a continuity result in dimension two and presents some applications.
Cite
@article{arxiv.0909.2848,
title = {Continuity in two dimensions for a very degenerate elliptic equation},
author = {Filippo Santambrogio and Vincenzo Vespri},
journal= {arXiv preprint arXiv:0909.2848},
year = {2009}
}