Compactness of Special Functions of Bounded Higher
Variation

Luigi Ambrosio; Francesco Ghiraldin

doi:10.2478/agms-2012-0001

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Compactness of Special Functions of Bounded Higher Variation

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From the journal Analysis and Geometry in Metric Spaces Volume 1 Issue 2013

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Ambrosio, Luigi and Ghiraldin, Francesco. "Compactness of Special Functions of Bounded Higher Variation" Analysis and Geometry in Metric Spaces, vol. 1, no. 2013, pp. 1-30. https://doi.org/10.2478/agms-2012-0001

Ambrosio, L. & Ghiraldin, F. (). Compactness of Special Functions of Bounded Higher Variation. Analysis and Geometry in Metric Spaces, 1(2013), 1-30. https://doi.org/10.2478/agms-2012-0001

Ambrosio, L. and Ghiraldin, F. () Compactness of Special Functions of Bounded Higher Variation. Analysis and Geometry in Metric Spaces, Vol. 1 (Issue 2013), pp. 1-30. https://doi.org/10.2478/agms-2012-0001

Ambrosio, Luigi and Ghiraldin, Francesco. "Compactness of Special Functions of Bounded Higher Variation" Analysis and Geometry in Metric Spaces 1, no. 2013 (): 1-30. https://doi.org/10.2478/agms-2012-0001

Ambrosio L, Ghiraldin F. Compactness of Special Functions of Bounded Higher Variation. Analysis and Geometry in Metric Spaces. ;1(2013): 1-30. https://doi.org/10.2478/agms-2012-0001

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Received: 2012-10-16

Accepted: 2012-12-7

Published Online: 2013-01-04

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The n-Point Condition and Rough CAT(0)
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
Nonexistence Results for Semilinear Equations in Carnot Groups
Fractional Maximal Functions in Metric Measure Spaces
Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces
On Asymmetric Distances
Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces
Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups
Resistance Conditions and Applications
The Lusin Theorem and Horizontal Graphs in the Heisenberg Group

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https://doi.org/10.2478/agms-2012-0001

Keywords for this article

Higher codimension singularities; nonlinear elasticity; geometric measure theory; distributional jacobian; flat currents; special bounded variation; compactness; bounded higher variation; Mumford-Shah; free discountinuity

Articles in the same Issue

Compactness of Special Functions of Bounded Higher Variation
Conformal Geometry and the Composite Membrane Problem
A Non-Probabilistic Proof of the Assouad Embedding Theorem with Bounds on the Dimension
A Formula for Popp’s Volume in Sub-Riemannian Geometry
The n-Point Condition and Rough CAT(0)
Musielak-Orlicz-Hardy Spaces Associated with Operators Satisfying Reinforced Off-Diagonal Estimates
Nonexistence Results for Semilinear Equations in Carnot Groups
Fractional Maximal Functions in Metric Measure Spaces
Spectral Calculus and Lipschitz Extension for Barycentric Metric Spaces
On Asymmetric Distances
Dimension Distortion by Sobolev Mappings in Foliated Metric Spaces
Uniform Gaussian Bounds for Subelliptic Heat Kernels and an Application to the Total Variation Flow of Graphs over Carnot Groups
Resistance Conditions and Applications
The Lusin Theorem and Horizontal Graphs in the Heisenberg Group