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Problem of Functional Extension and Space-Like Surfaces in Minkowski Space
Let \Xi (x) be the distribution of convex sets over a domain D \subset \mathbb R^n and let \phi: \partial D \rightarrow \mathbb R be a function. We consider the existence problem of locally Lipschitz functions f defined in the domain D so that f|_{\partial D} = \phi and \bigtriangledown …