Abstract
A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise $C^{2}$ functions $u:\Omega \subset\mathbb{R}^{2}\rightarrow\mathbb{R}$ with orthogonal Hessian in terms of a property named 'second order angle condition>" as in (1.1).
Citation
Bernard Dacorogna. Paolo Marcellini. Emanuele Paolini. "Functions with orthogonal Hessian." Differential Integral Equations 23 (1/2) 51 - 60, January/February 2010. https://doi.org/10.57262/die/1356019386
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