Continuity in two dimensions for a very degenerate elliptic equation
classification
🧮 math.AP
keywords
continuityellipticequationapplicationsconsidereddegeneratedegeneratesdimension
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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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