A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C^2 functions with orthogonal Hessian in terms of a property named “second order angle condition”.
Functions with orthogonal Hessian / B. DACOROGNA; P. MARCELLINI; E. PAOLINI. - In: DIFFERENTIAL AND INTEGRAL EQUATIONS. - ISSN 0893-4983. - STAMPA. - 23:(2010), pp. 51-60.
Functions with orthogonal Hessian
MARCELLINI, PAOLO;PAOLINI, EMANUELE
2010
Abstract
A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C^2 functions with orthogonal Hessian in terms of a property named “second order angle condition”.
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