Regularity of the inverse of spatial mappings with finite distortion

DOI10.1007/s00526-006-0009-1zbMath1097.30015OpenAlexW2134387893MaRDI QIDQ2493998

Jani Onninen

Publication date: 16 June 2006

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00526-006-0009-1

zbMATH Keywords

Inverse Sobolev mapping

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Degenerate elliptic equations (35J70) Second-order elliptic equations (35J15)

Related Items (18)

Lusin's condition and the distributional determinant for deformations with finite energy ⋮ On BV homeomorphisms ⋮ Creating and flattening cusp singularities by deformations of bi-conformal energy ⋮ Regularity of the inverse of a homeomorphism of a Sobolev-Orlicz space ⋮ Differentiability in the Sobolev space \(W^{1,n-1}\) ⋮ Sobolev homeomorphic extensions from two to three dimensions ⋮ Sobolev mappings and moduli inequalities on Carnot groups ⋮ The construction of wavelets adapted to compact domains ⋮ On the analytic and geometric properties of mappings in the theory of \(\mathscr{Q}_{q,p}\)-homeomorphisms ⋮ The regularity of inverses to Sobolev mappings and the theory of \(\mathcal{Q}_{q,p} \)-homeomorphisms ⋮ Homeomorphisms of bounded variation ⋮ Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)] ⋮ Homeomorphisms in the Sobolev space W 1,n–1 ⋮ Fracture surfaces and the regularity of inverses for BV deformations ⋮ Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity ⋮ Quasiconvexity at the boundary and the nucleation of austenite ⋮ Deformations of finite conformal energy: Boundary behavior and limit theorems ⋮ Hyperelastic deformations of smallest total energy

Cites Work

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• Regularity properties of deformations with finite energy
• Mappings of finite distortion: The zero set of the Jacobian
• On a new class of elastic deformations not allowing for cavitation
• Regularity of the inverse of a planar Sobolev homeomorphism
• Lectures on \(n\)-dimensional quasiconformal mappings
• Mappings of finite distortion: Capacity and modulus inequalities
• Almost-everywhere injectivity in nonlinear elasticity
• Extremal mappings of finite distortion

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