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arXiv · 0909.2848

Continuity in two dimensions for a very degenerate elliptic equation

Filippo Santambrogio·Vincenzo Vespri
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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.

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Filippo Santambrogio, Vincenzo Vespri. 2009-09-15. Continuity in two dimensions for a very degenerate elliptic equation. https://arxiv.org/abs/0909.2848

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