Diffeomorphic approximation of W-1,W-1 planar Sobolev homeomorphisms

Abstrakt

Let Omega subset of R-2 be a domain and let f is an element of W-1,W-1 (Omega, R-2) be a homeomorphism (between Omega and f(Omega)). Then there exists a sequence of smooth diffeomorphisms f(k) converging to f in W-1,W-1 (Omega, R-2) and uniformly.

Klíčová slova

• Mapping of finite distortion
• approximation