%0 Journal Article %T Continuity in two dimensions for a very degenerate elliptic equation %A Filippo Santambrogio %A Vincenzo Vespri %J Mathematics %D 2009 %I arXiv %X 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. %U http://arxiv.org/abs/0909.2848v1