We prove that any countably piecewise affine homeomorphism from an open set of R^2 can be approximated, together with its inverse, by diffeomorphisms in the W^{1,p} and the L^∞ norms.
Approximation of piecewise affine homeomorphisms by diffeomorphisms
PRATELLI, ALDO
2014-01-01
Abstract
We prove that any countably piecewise affine homeomorphism from an open set of R^2 can be approximated, together with its inverse, by diffeomorphisms in the W^{1,p} and the L^∞ norms.File in questo prodotto:
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