Continuity in two dimensions for a very degenerate elliptic equation

Details Continuity in two dimensions for a very degenerate elliptic equation Continuity in two dimensions for a very degenerate elliptic equation

2009-09-15

arxiv.org/abs/0909.2848v1

Mathematics

Analysis of PDEs

Scientific paper

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.

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