The generalized Dirichlet problem for equations of Monge-Ampère type
From the author's abstract. - ''We consider a generalization of the Dirichlet problem for equations of Monge-Ampère type under weaker hypotheses than those which are generally necessary for the solvability of the Dirichlet problem in the classical sense. We prove that there exists a unique smooth convex function which satisfies the equation in the classical sense and the boundary condition in a certain generalized sense.''
scientific article; zbMATH DE number 3971276
scientific article