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A Dirichlet problem for orthogonal Hessians in two dimensions is explicitly solved, by characterizing all piecewise C-2 functions u Omega subset of R-2 -> R with orthogonal Hessian in terms of a property named "second order angle condition" as in (1 1)
Jan Steggemann, Konstantin Androsov, Anna Mascellani
Mario Paolone, André Hodder, Simone Rametti, Lucien André Félicien Pierrejean