Calculus of Variations and Geometric Measure Theory
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B. Dacorogna - P. Marcellini - E. Paolini

Functions with orthogonal Hessian

created by paolini on 03 Sep 2009
modified on 18 Feb 2015

[BibTeX]

Published Paper

Inserted: 3 sep 2009
Last Updated: 18 feb 2015

Journal: Differential and Integral Equations
Volume: 23
Number: 1--2
Pages: 51-60
Year: 2010
Links: paper in journal

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''.


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