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Approximation of W1, Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian

  • Published:2018-06 Issue: Volume:331 Page:748-829
  • ISSN:0001-8708
  • Container-title:Advances in Mathematics
  • language:en
  • Short-container-title:Advances in Mathematics

Author:

Campbell Daniel,Hencl Stanislav,Tengvall Ville

Funder

Czech Ministry of Education

Vilho, Yrjö and Kalle Väisälä foundation

Academy of Finland

Publisher

Elsevier BV

Subject

General Mathematics

Reference42 articles.

1. Functions of Bounded Variation and Free Discontinuity Problems;Ambrosio,2000

2. Fundamental mathematical problems in the theory of nonlinear elasticity;Antman,1976

3. Convexity conditions and existence theorems in nonlinear elasticity;Ball;Arch. Ration. Mech. Anal.,1977

4. The calculus of variations and material science;Ball;Quart. Appl. Math.,1998

5. Singularities and computation of minimizers for variational problems;Ball,2001

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1. Surface penalization of self-interpenetration in linear and nonlinear elasticity;Applied Mathematical Modelling;2023-10

2. A sense‐preserving Sobolev homeomorphism with negative Jacobian almost everywhere;Journal of the London Mathematical Society;2022-04-05

3. Smooth homeomorphic approximation of piecewise affine homeomorphisms;Rendiconti Lincei - Matematica e Applicazioni;2021-12-16

4. Bing meets Sobolev;Revista Matemática Iberoamericana;2021-03-03

5. Approximation of planar Sobolev W2,1 homeomorphisms by piecewise quadratic homeomorphisms and diffeomorphisms;ESAIM: Control, Optimisation and Calculus of Variations;2021
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