Solutions of vectorial Hamilton-Jacobi equations are rank-one absolute minimisers in \(L^{\infty}\)
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Publication:2417224
DOI10.1515/anona-2016-0164zbMath1437.35158arXiv1604.00802OpenAlexW2962827997MaRDI QIDQ2417224
Publication date: 12 June 2019
Published in: Advances in Nonlinear Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1604.00802
\(\infty\)-Laplacian\(\mathcal{D}\)-solutionsrank-one absolute minimisersvectorial calculus of variations in \(L^{\infty}\)
Degenerate elliptic equations (35J70) Second-order elliptic systems (35J47) Viscosity solutions to PDEs (35D40) Hamilton-Jacobi equations (35F21) Quasilinear elliptic equations with (p)-Laplacian (35J92)
Related Items
Weak vs. 𝒟-solutions to linear hyperbolic first-order systems with constant coefficients, \(\mathcal{D}\)-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, A relaxation result in the vectorial setting and power law approximation for supremal functionals, Existence of $1D$ vectorial Absolute Minimisers in $L^\infty $ under minimal assumptions, Explicit \(\infty\)-harmonic functions in high dimensions
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