Deformations with smallest weighted Lp average distortion and Nitsche-type phenomena

DOI10.1112/jlms/jdr042zbMath1294.30049OpenAlexW2128424902MaRDI QIDQ2880389

Maarten McKubre-Jordens, Gaven J. Martin

Publication date: 13 April 2012

Published in: Journal of the London Mathematical Society (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1112/jlms/jdr042

zbMATH Keywords

minimizersextremal mappingsweighted \(L^p\) distortion

Mathematics Subject Classification ID

Existence theories for free problems in two or more independent variables (49J10) Harmonic, subharmonic, superharmonic functions in two dimensions (31A05) Quasiconformal mappings in the complex plane (30C62) Extremal problems for conformal and quasiconformal mappings, other methods (30C75)

Related Items (20)

A unified approach to the weighted Grötzsch and Nitsche problems for mappings of finite distortion ⋮ A note on the \(\rho\)-Nitsche conjecture ⋮ Deformations of annuli on Riemann surfaces and the generalization of Nitsche conjecture ⋮ Bi-Sobolev mappings and \(K_{p}\)-distortions in the plane ⋮ Mappings of least Dirichlet energy and their Hopf differentials ⋮ The Teichmüller problem for L^p-means of distortion ⋮ Nitsche type inequality for hyperbolic harmonic mappings between annuli in the unit ball \(\mathbb{B}^3\) ⋮ The \(L^p\) Teichmüller theory: existence and regularity of critical points ⋮ The extremal problem for weighted combined energy ⋮ Lipschitz regularity for inner-variational equations ⋮ Deformations of bi-conformal energy and a new characterization of quasiconformality ⋮ On minimisers of \(L^p\)-mean distortion ⋮ Deformations of annuli with smallest mean distortion ⋮ Radial symmetry of \(p\)-harmonic minimizers ⋮ Singularities in L^p-quasidisks ⋮ Radial symmetry of minimizers to the weighted Dirichlet energy ⋮ Higher regularity and uniqueness for inner variational equations ⋮ An extremal problem of Grötzsch type and an application ⋮ A note on the unique extremality of spiral-stretch maps ⋮ Energy-minimal Principles in Geometric Function Theory.

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