Monotone Sobolev mappings of planar domains and surfaces

DOI10.1007/s00205-015-0894-6zbMath1395.30023arXiv1505.06439OpenAlexW413558231WikidataQ110235213 ScholiaQ110235213MaRDI QIDQ5962859

Jani Onninen, Tadeusz Iwaniec

Publication date: 25 February 2016

Published in: Archive for Rational Mechanics and Analysis (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1505.06439

Mathematics Subject Classification ID

Nonlinear elasticity (74B20) Methods involving semicontinuity and convergence; relaxation (49J45) Quasiconformal mappings in the complex plane (30C62) Biharmonic, polyharmonic functions and equations, Poisson's equation in two dimensions (31A30) Quasilinear elliptic equations with (p)-Laplacian (35J92)

Related Items (24)

Strict limits of planar BV homeomorphisms ⋮ The Dirichlet principle for inner variations ⋮ Triangulation of diffeomorphisms ⋮ Monotone Hopf-harmonics ⋮ Analytic characterization of monotone Hopf-harmonics ⋮ Weak limit of homeomorphisms in \(W^{1, n-1}\) and (INV) condition ⋮ The Sobolev Jordan-Schönflies problem ⋮ Global invertibility for orientation-preserving Sobolev maps via invertibility on or near the boundary ⋮ A Neohookean Model of Plates ⋮ Radó-Kneser-Choquet Theorem for simply connected domains ($p$-harmonic setting) ⋮ Limits of Sobolev homeomorphisms ⋮ The Radó-Kneser-Choquet theorem for \(p\)-harmonic mappings between Riemannian surfaces ⋮ Smoothing Defected Welds and Hairline Cracks ⋮ Invertibility versus Lagrange equation for traction free energy-minimal deformations ⋮ The closure of planar diffeomorphisms in Sobolev spaces ⋮ Sobolev homeomorphism that cannot be approximated by diffeomorphisms in \(W^{1,1}\) ⋮ Bing meets Sobolev ⋮ Radial symmetry of minimizers to the weighted Dirichlet energy ⋮ Smooth homeomorphic approximation of piecewise affine homeomorphisms ⋮ Fibers of monotone maps of finite distortion ⋮ Approximation of planar SobolevW^2,1homeomorphisms by piecewise quadratic homeomorphisms and diffeomorphisms ⋮ 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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