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The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces - MaRDI portal

The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces (Q6096765)

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scientific article; zbMATH DE number 7738034

Language	Label	Description	Also known as
English	The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces	scientific article; zbMATH DE number 7738034

Statements

scholarly article

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The Aronsson equation for absolute minimizers of supremal functionals in Carnot–Carathéodory spaces (English)

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Bulletin of the London Mathematical Society

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publication date

15 September 2023

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full work available at URL

https://arxiv.org/abs/2202.14008

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zbMATH Keywords

variational problems in \(L^\infty\)

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MaRDI profile type

MaRDI publication profile

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Extension of functions satisfying Lipschitz conditions

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On the partial differential equation \(u_ x^ 2 u_{xx} +2u_ x u_ y u_{xy} +u_ y^ 2 u_{yy} = 0\)

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Construction of singular solutions to the p-harmonic equation and its limit equation for \(p=\infty\)

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The Euler equation and absolute minimizers of \(L^\infty\) functionals

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ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP

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The Aronsson-Euler equation for absolutely minimizing Lipschitz extensions with respect to Carnot-Carathéodory metrics

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Functional analysis, Sobolev spaces and partial differential equations

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An efficient derivation of the Aronsson equation

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User’s guide to viscosity solutions of second order partial differential equations

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Viscosity Solutions of Hamilton-Jacobi Equations

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Derivation of the Aronsson equation for $C^1$ Hamiltonians

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Direct methods in the calculus of variations

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Weak Fubini property and infinity harmonic functions in Riemannian and sub-Riemannian manifolds

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Integral representation of local functionals depending on vector fields

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Lipschitz continuity, global smooth approximations and extension theorems for Sobolev functions in Carnot-Carathéodory spaces

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Uniqueness of Lipschitz extensions: Minimizing the sup norm of the gradient

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Uniqueness and nonuniqueness of viscosity solutions to Aronsson's equation

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\( \Gamma\)-convergence for functionals depending on vector fields. I: Integral representation and compactness

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$\Gamma$-Convergence for Functionals Depending on Vector Fields. II. Convergence of Minimizers

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Surface measures in Carnot-Carathéodory spaces

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Balls and metrics defined by vector fields. I: Basic properties

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The Aronsson equation for absolute minimizers of $\{L^\infty \}$-functionals associated with vector fields satisfying Hörmander’s condition

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Aronsson's equations on Carnot-Carathéodory spaces

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Identifiers

zbMATH Open document ID

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10.1112/blms.12773

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Mathematics Subject Classification ID

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zbMATH DE Number

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Sitelinks

Mathematics(1 entry)

mardi Publication:6096765

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