On the gradient set of Lipschitz maps

We prove that the essential range of the gradient of planar Lipschitz maps has a connected rank-one convex hull. As a corollary, in combination with the results in [7] we obtain a complete characterization of incompatible sets of gradients for planar maps in terms of rank-one convexity. © 2008 Walte...

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Main Authors: Kirchheim, B, Jr, S
格式: Journal article
語言:English
出版: 2008