A new approach to interior regularity of elliptic systems with quadratic Jacobian structure in dimension two
نویسنده
چکیده
then u is continuous. This result solves a conjecture of Heinz about regularity of solutions to the prescribed boundedmean curvature equation and a conjecture of Hildebrandt about regularity of all critical points of continuously differentiable elliptic conformally invariant Lagrangians in dimension two. In particular it provides a new proof of Hélein’s theorem [10,12] about regularity of two dimensional harmonic mappings into arbitrary compact manifolds.
منابع مشابه
A new approach to interior regularity of elliptic systems with quadratic
then u is continuous. This result solves a conjecture of Heinz about regularity of solutions to the prescribed boundedmean curvature equation and a conjecture of Hildebrandt about regularity of all critical points of continuously differentiable elliptic conformally invariant Lagrangians in dimension two. In particular it provides a new proof of Hélein’s theorem [10,12] about regularity of two d...
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تاریخ انتشار 2008