A tour of the theory of absolutely minimizing functions (Q4821603)

scientific article; zbMATH DE number 2108961

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English	A tour of the theory of absolutely minimizing functions	scientific article; zbMATH DE number 2108961

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scholarly article

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title

A tour of the theory of absolutely minimizing functions (English)

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zbMATH Open document ID

1150.35047

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DOI

10.1090/S0273-0979-04-01035-3

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Bulletin of the American Mathematical Society

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publication date

20 October 2004

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Mathematics Subject Classification ID

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MaRDI publication profile

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Minimization problems for the functional $\displaystyle{\sup_x}\, F(x,f(x),f'(x))$. I, II

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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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Minimization problems for functional supF(x, f(x), f'(x)). III

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On certain singular solutions of the partial differential equation $u^ 2_ xu_{xx}+2u_ xu_ yu_{xy}+u^ 2_ yu_{yy}=0$

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

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Fast/slow diffusion and growing sandpiles

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EXISTENCE AND COMPARISON RESULTS FOR FULLY NONLINEAR DEGENERATE ELLIPTIC EQUATIONS WITHOUT ZEROTH-ORDER TERM1*

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

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Lower semicontinuity of $L^\infty$ functionals.

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The pseudo-p-Laplace eigenvalue problem and viscosity solutions asp→ ∞

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Q2717782

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Q4802373

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ON ∞-HARMONIC FUNCTIONS ON THE HEISENBERG GROUP

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Viscosity solutions on Grushin-type planes

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Lipschitz extensions on generalized Grushin spaces

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

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Q4855688

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Absolutely minimizing Lipschitz extension with discontinuous boundary data

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An axiomatic approach to image interpolation

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Q5296446

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Γ-convergence and absolute minimizers for supremal functionals

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An efficient derivation of the Aronsson equation

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Optimal Lipschitz extensions and the infinity Laplacian

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Q4525523

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Viscosity Solutions of Hamilton-Jacobi Equations

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

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Another way to say harmonic

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Extension of functions satisfying a Lipschitz condition

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Limit as $p\to \infty $ of $p$-Laplace eigenvalue problems and $L^\infty $-inequality of the Poincaré type.

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The infinity Laplacian in infinite dimensions

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Elliptic partial differential equations of second order

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Q3151387

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Q4693180

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On Fully Nonlinear PDEs Derived from Variational Problems ofLpNorms

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Behaviour in the Limit, as $p \to \infty $, of Minimizers of Functionals Involving p-Dirichlet Integrals

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The maximum principle for viscosity solutions of fully nonlinear second order partial differential equations

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

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Q3840853

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Q4674828

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The $\infty$-eigenvalue problem

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Q4833887

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Q4378150

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Superharmonicity of nonlinear ground states

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A free boundary problem for $\infty$-Laplace equation

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Extension of range of functions

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Lipschitz continuations of linearly bounded functions

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Absolutely minimal extensions of functions on metric spaces

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Q4379815

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Q4226764

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$C^1$ regularity for infinity harmonic functions in two dimensions

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Analytic Extensions of Differentiable Functions Defined in Closed Sets

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full work available at URL

https://doi.org/10.1090/s0273-0979-04-01035-3

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OpenAlex ID

W1979463344

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Sitelinks

Mathematics(1 entry)

mardi Publication:4821603