Limits of Sobolev homeomorphisms
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Publication:515331
DOI10.4171/JEMS/671zbMath1364.30041OpenAlexW2581041722MaRDI QIDQ515331
Publication date: 13 March 2017
Published in: Journal of the European Mathematical Society (JEMS) (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.4171/jems/671
harmonic mappingsvariational integralsenergy-minimal deformations\(p\)-harmonic equationapproximation of Sobolev homeomorphisms
Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Approximation in the complex plane (30E10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Harmonic maps, etc. (58E20)
Related Items (19)
Strict limits of planar BV homeomorphisms ⋮ The Dirichlet principle for inner variations ⋮ Lipschitz regularity of energy-minimal mappings between doubly connected Riemann surfaces ⋮ Triangulation of diffeomorphisms ⋮ Mappings of least Dirichlet energy and their Hopf differentials ⋮ Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition ⋮ Classification of strict limits of planar \(BV\) homeomorphisms ⋮ Minimal extension for the \(\alpha\)-Manhattan norm ⋮ Extremal mappings of finite distortion and the Radon-Riesz property ⋮ A Neohookean Model of Plates ⋮ Invertibility versus Lagrange equation for traction free energy-minimal deformations ⋮ Radial symmetry of \(p\)-harmonic minimizers ⋮ The closure of planar diffeomorphisms in Sobolev spaces ⋮ Monotone Sobolev mappings of planar domains and surfaces ⋮ Sobolev homeomorphism that cannot be approximated by diffeomorphisms in \(W^{1,1}\) ⋮ Radial symmetry of minimizers to the weighted Dirichlet energy ⋮ The Nitsche phenomenon for weighted Dirichlet energy ⋮ Injectivity almost everywhere for weak limits of Sobolev homeomorphisms ⋮ A multiplicative version of quasiconvexity for hyperelasticity
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