The limit of \(W^{1,1}\) homeomorphisms with finite distortion
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Publication:956658
DOI10.1007/s00526-008-0169-2zbMath1157.30016OpenAlexW2038419918MaRDI QIDQ956658
Gioconda Moscariello, Carlo Sbordone, Nicola Fusco
Publication date: 25 November 2008
Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1007/s00526-008-0169-2
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)
Related Items (20)
Grand Sobolev spaces and their applications in geometric function theory and PDEs ⋮ Bisobolev mappings and homeomorphisms with finite distortion ⋮ Bi-Sobolev homeomorphism with zero Jacobian almost everywhere ⋮ Some remarks on Sobolev and bi-Sobolev mappings ⋮ Critical points for Sobolev homeomorphisms ⋮ Quasiconformal mappings and sharp estimates for the distance to \(L^\infty\) in some function spaces ⋮ A quantitative estimate for mappings of bounded inner distortion ⋮ The regularity of the inverses of Sobolev homeomorphisms with finite distortion ⋮ Equilibrium for multiphase solids with Eulerian interfaces ⋮ On the convergence of mappings with k-finite distortion. ⋮ Regularity of the inverse of a homeomorphism with finite inner distortion ⋮ On \(\Gamma\) -convergence of quadratic functionals in the plane ⋮ Higher differentiability for \(n\)-harmonic systems with Sobolev coefficients ⋮ Recent studies on Sobolev mappings ⋮ Jacobians of \(W^{1,p}\) homeomorphisms, case \(p=[n/2\)] ⋮ On the approximate differentiability of inverse maps ⋮ Carlo Sbordone, a Neapolitan mathematician ⋮ On distributional adjugate and derivative of the inverse ⋮ Bi-Sobolev mappings and elliptic equations in the plane ⋮ Carlo Sbordone, a Neapolitan mathematician
Cites Work
- Continuity and compactness of measures
- A direct proof for lower semicontinuity of polyconvex functionals
- Weak lower semicontinuity of polyconvex integrals: A borderline case
- A note on extremal mappings of finite distortion
- Regularity of the inverse of a planar Sobolev homeomorphism
- Homeomorphisms in the Sobolev space W 1,n–1
- Extremal mappings of finite distortion
- Regularity of the inverse of a Sobolev homeomorphism in space
- Semicontinuity problems in the calculus of variations
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