Optimal ∞-Quasiconformal Immersions
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Publication:5250299
DOI10.1051/cocv/2014038zbMath1317.30029arXiv1206.6039OpenAlexW3105824842MaRDI QIDQ5250299
Publication date: 19 May 2015
Published in: ESAIM: Control, Optimisation and Calculus of Variations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1206.6039
Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Second-order elliptic systems (35J47)
Related Items (15)
Weak vs. 𝒟-solutions to linear hyperbolic first-order systems with constant coefficients ⋮ On the numerical approximation of \(\infty \)-harmonic mappings ⋮ \(\mathcal{D}\)-solutions to the system of vectorial calculus of variations in \(L^\infty\) via the singular value problem ⋮ Second-order \(L^\infty\) variational problems and the \(\infty\)-polylaplacian ⋮ Explicit 2D \(\infty\)-harmonic maps whose interfaces have junctions and corners ⋮ Solutions of vectorial Hamilton-Jacobi equations are rank-one absolute minimisers in \(L^{\infty}\) ⋮ Existence of $1D$ vectorial Absolute Minimisers in $L^\infty $ under minimal assumptions ⋮ On the numerical approximation of vectorial absolute minimisers in \(L^\infty\) ⋮ A pointwise characterisation of the PDE system of vectorial calculus of variations in L∞ ⋮ Existence and uniqueness of global strong solutions to fully nonlinear second order elliptic systems ⋮ Absolutely minimising generalised solutions to the equations of vectorial calculus of variations in \(L^\infty \) ⋮ Generalised solutions for fully nonlinear PDE systems and existence-uniqueness theorems ⋮ Explicit \(\infty\)-harmonic functions in high dimensions ⋮ A New Characterisation of $\infty$-Harmonic and $p$-Harmonic Maps via Affine Variations in $L^\infty$ ⋮ Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems
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