Approximation of piecewise affine homeomorphisms by diffeomorphisms

DOI10.1007/s12220-012-9378-1zbMath1300.41014OpenAlexW2127672897MaRDI QIDQ472065

Carlos Mora-Corral, Aldo Pratelli

Publication date: 18 November 2014

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-012-9378-1

zbMATH Keywords

diffeomorphismsapproximation of homeomorphismspiecewise affine homeomorphisms

Mathematics Subject Classification ID

Approximation with constraints (41A29) Approximation by other special function classes (41A30) Approximations in PL-topology (57Q55)

Related Items (max. 100)

Approximation of planar BV homeomorphisms by diffeomorphisms ⋮ Gradient Young Measures Generated by Quasi-Conformal Maps in the Plane ⋮ Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian ⋮ Smooth Approximations in PL Geometry ⋮ Weak Lower Semicontinuity of Integral Functionals and Applications ⋮ A sense‐preserving Sobolev homeomorphism with negative Jacobian almost everywhere ⋮ On the bi-Sobolev planar homeomorphisms and their approximation ⋮ Diffeomorphic approximation of planar Sobolev homeomorphisms in Orlicz-Sobolev spaces ⋮ The closure of planar diffeomorphisms in Sobolev spaces ⋮ Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms ⋮ Diffeomorphic approximation of planar Sobolev homeomorphisms in rearrangement invariant spaces ⋮ Differentiable approximation of continuous semialgebraic maps ⋮ Smooth homeomorphic approximation of piecewise affine homeomorphisms ⋮ Approximation of planar SobolevW^2,1homeomorphisms by piecewise quadratic homeomorphisms and diffeomorphisms ⋮ A multiplicative version of quasiconvexity for hyperelasticity ⋮ \(\Gamma\)-convergence approximation of fracture and cavitation in nonlinear elasticity

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Diffeomorphic approximation of Sobolev homeomorphisms
• Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms
• Quasiconformal 4-manifolds
• Jacobians of Sobolev homeomorphisms
• Injectivity and self-contact in nonlinear elasticity
• Regularity properties of deformations with finite energy
• Cartesian currents, weak diffeomorphisms and existence theorems in nonlinear elasticity
• Univalent minimizers of polyconvex functionals in two dimensions
• Some remarks on the mollification of piecewise-linear homeomorphisms
• An existence theory for nonlinear elasticity that allows for cavitation
• Stable homeomorphisms and the annulus conjecture
• Approximating stable homeomorphisms by piecewise linear ones
• Affine structures in 3-manifolds. IV: Piecewise linear approximations of homeomorphisms
• Approximation of Holder continuous homeomorphisms by piecewise affine homeomorphisms
• Some Open Problems in Elasticity
• Global invertibility of Sobolev functions and the interpenetration of matter
• Obstructions to the smoothing of piecewise-differentiable homeomorphisms
• Lipschitz and quasiconformal approximation of homeomorphism pairs
• Univalent \(\sigma\)-harmonic mappings

This page was built for publication: Approximation of piecewise affine homeomorphisms by diffeomorphisms