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Some remarks on the mollification of piecewise-linear homeomorphisms

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Publication:1376825
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DOI10.1007/BF02355593zbMath0927.49001MaRDI QIDQ1376825

T. N. Shilkin, Gregory A. Seregin

Publication date: 16 February 1998

Published in: Journal of Mathematical Sciences (New York) (Search for Journal in Brave)


zbMATH Keywords

energy functionalminimizationtwo-dimensional piecewise-linear homeomorphism


Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10)


Related Items (3)

Approximation of piecewise affine homeomorphisms by diffeomorphisms ⋮ Diffeomorphic approximation of Sobolev homeomorphisms ⋮ Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms




Cites Work

  • Unnamed Item
  • \(W^{1,p}\)-quasiconvexity and variational problems for multiple integrals
  • Convexity conditions and existence theorems in nonlinear elasticity
  • Global invertibility of Sobolev functions and the interpenetration of matter




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