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Sobolev Mappings between Manifolds and Metric Spaces (Q3613583)

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Language	Label	Description	Also known as
English	Sobolev Mappings between Manifolds and Metric Spaces	scientific article

Statements

scholarly article

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Sobolev Mappings between Manifolds and Metric Spaces (English)

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Sobolev Spaces In Mathematics I

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publication date

12 March 2009

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MaRDI profile type

MaRDI publication profile

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full work available at URL

https://doi.org/10.1007/978-0-387-85648-3_7

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Hölder estimates of \(p\)-harmonic extension operators

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The approximation problem for Sobolev maps between two manifolds

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On the singular set of stationary harmonic maps

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Density of smooth functions between two manifolds in Sobolev spaces

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The Perron method for \(p\)-harmonic functions in metric spaces.

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Poincaré inequalities and quasiconformal structure on the boundary of some hyperbolic buildings

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A note on the isoperimetric constant

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An introduction to the Heisenberg group and the sub-Riemannian isoperimetric problem

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Estimates for singular integral operators in terms of maximal functions

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Regularity of minimizers of the calculus of variations in Carnot groups via hypoellipticity of systems of Hörmander type

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Legendrian energy minimizers. I: Heisenberg group target

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Differentiability of Lipschitz functions on metric measure spaces

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Analyse harmonique non-commutative sur certains espaces homogènes. Etude de certaines intégrales singulières. (Non-commutative harmonic analysis on certain homogeneous spaces. Study of certain singular integrals.)

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The \(p\)-harmonic approximation and the regularity of \(p\)-harmonic maps

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A Report on Harmonic Maps

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Definitions of Sobolev classes on metric spaces

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Weighted sobolev-poincaré inequalities for grushin type operators

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Rectifiability and perimeter in the Heisenberg group

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Isoperimetric and Sobolev inequalities for Carnot-Carath�odory spaces and the existence of minimal surfaces

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Harmonic maps into singular spaces and \(p\)-adic superrigidity for lattices in groups of rank one

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Equivalent statement of the Poincaré conjecture

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Approximation of sobolev mappings

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Sobolev spaces on an arbitrary metric space

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A new characterization of the Sobolev space

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Sobolev mappings: Lipschitz density is not a bi-Lipschitz invariant of the target

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Density of Lipschitz mappings in the class of Sobolev mappings between metric spaces

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Hölder quasicontinuity of Sobolev functions on metric spaces

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Sobolev met Poincaré

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Subelliptic \(p\)-harmonic maps into spheres and the ghost of Hardy spaces

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Sobolev Peano cubes

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On the weak limits of smooth maps for the Dirichlet energy between manifolds

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Density problems for <i>W</i><sup>1,1</sup> (<i>M, N</i>)

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Topology of Sobolev mappings

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Topology of Sobolev mappings. II.

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Topology of Sobolev mappings III

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Singularities of harmonic maps

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Mappings minimizing theLp norm of the gradient

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Lectures on analysis on metric spaces

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Nonsmooth calculus

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An 𝑛-dimensional space that admits a Poincaré inequality but has no manifold points

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Quasiconformal maps in metric spaces with controlled geometry

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Sobolev classes of Banach space-valued functions and quasiconformal mappings

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Equilibrium maps between metric spaces

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Generalized Dirichlet forms and harmonic maps

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A differentiable structure for metric measure spaces

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The Poincaré inequality is an open ended condition

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Sobolev spaces and harmonic maps for metric space targets

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Pointwise characterizations of Hardy-Sobolev functions

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Some function spaces on spaces of homogeneous type

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Ahlfors \(Q\)-regular spaces with arbitrary \(Q>1\) admitting weak Poincaré inequality

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On Fréchet differentiability of Lipschitz maps between Banach spaces

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Every complete doubling metric space carries a doubling measure

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Elements of Lipschitz topology

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Every superposition operator mapping one Sobolev space into another is continuous

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Regularity for \(n\)-harmonic maps

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Weak density of smooth maps in \(W^{1, 1}(M,N)\) for non-Abelian \({\pi}_1(N)\)

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Weak density of smooth maps for the Dirichlet energy between manifolds

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Carnot-Carathéodory metrics and quasiisometries of symmetric spaces of rank 1

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Conservation laws for conformally invariant variational problems

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Sobolev-type classes of functions with values in a metric space

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Boundary regularity and the Dirichlet problem for harmonic maps

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A regularity theory for harmonic maps

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Finding curves on general spaces through quantitative topology, with applications to Sobolev and Poincaré inequalities

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Boundary regularity of harmonic maps to nonpositively curved metric spaces

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Newtonian spaces: An extension of Sobolev spaces to metric measure spaces

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Regularity of generalized sphere valued \(p\)-harmonic maps with small mean oscillations

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Compactness properties of weakly p-harmonic maps into homogeneous spaces

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Subelliptic harmonic maps from Carnot groups

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A compactness theorem of \(n\)-harmonic maps

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Infima of energy functionals in homotopy classes of mappings

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Identifiers

zbMATH Open document ID

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10.1007/978-0-387-85648-3_7

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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:3613583

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