Explicit 2D \(\infty\)-harmonic maps whose interfaces have junctions and corners
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Publication:386665
DOI10.1016/J.CRMA.2013.07.028zbMath1278.35057arXiv1303.1720OpenAlexW2004095708MaRDI QIDQ386665
Publication date: 10 December 2013
Published in: Comptes Rendus. Mathématique. Académie des Sciences, Paris (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1303.1720
Solutions to PDEs in closed form (35C05) Boundary value problems for systems of nonlinear higher-order PDEs (35G60)
Related Items (19)
Weak vs. 𝒟-solutions to linear hyperbolic first-order systems with constant coefficients ⋮ On the numerical approximation of \(\infty \)-harmonic mappings ⋮ 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 ⋮ Second-order \(L^\infty\) variational problems and the \(\infty\)-polylaplacian ⋮ Solutions of vectorial Hamilton-Jacobi equations are rank-one absolute minimisers in \(L^{\infty}\) ⋮ Rigidity and flatness of the image of certain classes of mappings having tangential Laplacian ⋮ Existence of $1D$ vectorial Absolute Minimisers in $L^\infty $ under minimal assumptions ⋮ 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 ⋮ Vectorial variational principles in \(L^\infty\) and their characterisation through PDE systems ⋮ A New Characterisation of $\infty$-Harmonic and $p$-Harmonic Maps via Affine Variations in $L^\infty$ ⋮ Optimal ∞-Quasiconformal Immersions ⋮ Remarks on the validity on the maximum principle for the ∞-Laplacian ⋮ Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems ⋮ The streamlines of ∞-harmonic functions obey the inverse mean curvature flow
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- The subelliptic ∞-Laplace system on Carnot–Carathéodory spaces
- Vector-valued optimal Lipschitz extensions
- User’s guide to viscosity solutions of second order partial differential equations
- Optimal ∞-Quasiconformal Immersions
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