Jacobian of weak limits of Sobolev homeomorphisms

DOI10.1515/acv-2016-0005zbMath1443.26006OpenAlexW2780105021WikidataQ109746536 ScholiaQ109746536MaRDI QIDQ1693058

Stanislav Hencl, Jani Onninen

Publication date: 11 January 2018

Published in: Advances in Calculus of Variations (Search for Journal in Brave)

Full work available at URL: http://urn.fi/URN:NBN:fi:jyu-201801111152

zbMATH Keywords

Jacobianweak limitsSobolev homeomorphism

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Implicit function theorems, Jacobians, transformations with several variables (26B10)

Related Items

Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition, Injectivity almost everywhere and mappings with finite distortion in nonlinear elasticity, Injectivity almost everywhere for weak limits of Sobolev homeomorphisms

Cites Work

• Mappings of least Dirichlet energy and their Hopf differentials
• Existence of energy-minimal diffeomorphisms between doubly connected domains
• Jacobians of Sobolev homeomorphisms
• Deformations of annuli with smallest mean distortion
• Convexity conditions and existence theorems in nonlinear elasticity
• Approximation of \(W^{1,p}\) Sobolev homeomorphism by diffeomorphisms and the signs of the Jacobian
• Examples of weak minimizers with continuous singularities
• Sobolev homeomorphism with zero Jacobian almost everywhere
• Weakly Differentiable Functions
• 𝑛-Harmonic Mappings Between Annuli: The Art of Integrating Free Lagrangians
• Nonlinear problems of elasticity
• Sobolev homeomorphism that cannot be approximated by diffeomorphisms in \(W^{1,1}\)
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