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Smooth homeomorphic approximation of piecewise affine homeomorphisms
Given any f a locally finitely piecewise affine homeomorphism of Ω ⊂ R n onto ∆ ⊂ R in W , 1 ≤ p < ∞ and any ε > 0 we construct a smooth injective map f̃ such that ‖f − f̃‖W (Ω,R) < ε.
期刊介绍:
The journal is dedicated to the publication of high-quality peer-reviewed surveys, research papers and preliminary announcements of important results from all fields of mathematics and its applications.