Lipschitz regularity for inner-variational equations

DOI10.1215/00127094-2079791zbMath1319.49055arXiv1109.0720OpenAlexW3102743179WikidataQ110213798 ScholiaQ110213798MaRDI QIDQ1949158

Tadeusz Iwaniec, Jani Onninen, Leonid V. Kovalev

Publication date: 25 April 2013

Published in: Duke Mathematical Journal (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1109.0720

zbMATH Keywords

Lipschitz regularityenergy integralsinner-variational equations

Mathematics Subject Classification ID

Smoothness and regularity of solutions to PDEs (35B65) Regularity of solutions in optimal control (49N60)

Related Items (20)

Regularity Properties of Stationary Harmonic Functions Whose Laplacian is a Radon Measure ⋮ The Dirichlet principle for inner variations ⋮ Lipschitz regularity of energy-minimal mappings between doubly connected Riemann surfaces ⋮ Monotone Hopf-harmonics ⋮ Analytic characterization of monotone Hopf-harmonics ⋮ Mappings of least Dirichlet energy and their Hopf differentials ⋮ The Teichmüller problem for L^p-means of distortion ⋮ Topological regularity for solutions to the generalised Hopf equation ⋮ The \(L^p\) Teichmüller theory: existence and regularity of critical points ⋮ Extremal mappings of finite distortion and the Radon-Riesz property ⋮ Description of limiting vorticities for the magnetic 2D Ginzburg-Landau equations ⋮ A Neohookean Model of Plates ⋮ Limits of Sobolev homeomorphisms ⋮ Subharmonicity results for the stationary solutions of isotropic energy functionals ⋮ On minimisers of \(L^p\)-mean distortion ⋮ Invertibility versus Lagrange equation for traction free energy-minimal deformations ⋮ Monotone Sobolev mappings of planar domains and surfaces ⋮ Higher regularity and uniqueness for inner variational equations ⋮ Minimisers and Kellogg's theorem ⋮ Minimal graphs and differential inclusions

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