Explicit \(\infty\)-harmonic functions in high dimensions
From MaRDI portal
Publication:1756903
DOI10.1007/s41808-018-0020-7zbMath1406.35131arXiv1804.04465OpenAlexW2797225838MaRDI QIDQ1756903
Publication date: 28 December 2018
Published in: Journal of Elliptic and Parabolic Equations (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1804.04465
Harmonic, subharmonic, superharmonic functions on other spaces (31C05) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Cites Work
- Explicit 2D \(\infty\)-harmonic maps whose interfaces have junctions and corners
- \(L^{\infty }\) variational problems for maps and the Aronsson PDE system
- 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
- Lie point symmetries and some group invariant solutions of the quasilinear equation involving the infinity Laplacian
- \(C^1\) regularity for infinity harmonic functions in two dimensions
- \(C^{1,\alpha}\) regularity for infinity harmonic functions in two dimensions
- Construction of singular solutions to the p-harmonic equation and its limit equation for \(p=\infty\)
- The eigenvalue problem for the \(\infty \)-Bilaplacian
- Nonuniqueness in vector-valued calculus of variations in \(L^\infty\) and some linear elliptic systems
- 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
- Solutions of vectorial Hamilton-Jacobi equations are rank-one absolute minimisers in \(L^{\infty}\)
- Extension of functions satisfying Lipschitz conditions
- On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)
- On the Structure of ∞-Harmonic Maps
- An Introduction To Viscosity Solutions for Fully Nonlinear PDE with Applications to Calculus of Variations in L∞
- A New Characterisation of $\infty$-Harmonic and $p$-Harmonic Maps via Affine Variations in $L^\infty$
- Existence of $1D$ vectorial Absolute Minimisers in $L^\infty $ under minimal assumptions
- Remarks on the validity on the maximum principle for the ∞-Laplacian
- ∞-minimal submanifolds
- A pointwise characterisation of the PDE system of vectorial calculus of variations in L∞
- Optimal ∞-Quasiconformal Immersions
