An Aronsson type approach to extremal quasiconformal mappings

DOI10.1016/j.jde.2012.04.015zbMath1291.30145arXiv1011.2988OpenAlexW2962767166MaRDI QIDQ432477

Luca Capogna, Andrew S. Raich

Publication date: 4 July 2012

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.2988

zbMATH Keywords

extremal quasiconformal mappingsflow of diffeomorphismsquasiconformal mappings in \(\mathbb R^{n}\)trace dilation

Mathematics Subject Classification ID

Quasiconformal mappings in (mathbb{R}^n), other generalizations (30C65) Optimality conditions for problems involving partial differential equations (49K20) Extremal problems for conformal and quasiconformal mappings, variational methods (30C70) Extremal problems for conformal and quasiconformal mappings, other methods (30C75) Initial-boundary value problems for second-order parabolic systems (35K51)

Related Items (10)

∞-minimal submanifolds ⋮ On the Structure of ∞-Harmonic Maps ⋮ \(\mathcal{D}\)-solutions to the system of vectorial calculus of variations in \(L^\infty\) via the singular value problem ⋮ Explicit 2D \(\infty\)-harmonic maps whose interfaces have junctions and corners ⋮ A Hölder continuous nowhere improvable function with derivative singular distribution ⋮ \(L^{\infty }\) variational problems for maps and the Aronsson PDE system ⋮ On the numerical approximation of vectorial absolute minimisers in \(L^\infty\) ⋮ A polyconvex integrand; Euler-Lagrange equations and uniqueness of equilibrium ⋮ Optimal ∞-Quasiconformal Immersions ⋮ Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems

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