Results 11 to 16 of about 16 (16)

Chordal Hausdorff Convergence and Quasihyperbolic Distance

Analysis and Geometry in Metric Spaces, 2020
We study Hausdorff convergence (and related topics) in the chordalization of a metric space to better understand pointed Gromov-Hausdorff convergence of quasihyperbolic distances (and other conformal distances).
Herron David A., Richard Abigail, Snipes Marie A.   +2 more
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Hyperbolic Unfoldings of Minimal Hypersurfaces

Analysis and Geometry in Metric Spaces, 2018
We study the intrinsic geometry of area minimizing hypersurfaces from a new point of view by relating this subject to quasiconformal geometry. Namely, for any such hypersurface H we define and construct a so-called S-structure.
Lohkamp Joachim
doaj   +1 more source

Resistance conditions, Poincaré inequalities, the Lip-lip condition and Hardy’s inequalities

Demonstratio Mathematica, 2016
This note investigates weaker conditions than a Poincaré inequality in analysis on metric measure spaces. We discuss two resistance conditions which are stated in terms of capacities.
Kinnunen Juha, Silvestre Pilar
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Boundary Regularity for p-Harmonic Functions and Solutions of Obstacle Problems on Unbounded Sets in Metric Spaces

Analysis and Geometry in Metric Spaces, 2019
The theory of boundary regularity for p-harmonic functions is extended to unbounded open sets in complete metric spaces with a doubling measure supporting a p-Poincaré inequality, 1 < p < ∞.
Björn Anders, Hansevi Daniel
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Geometric characterization of generalized Hajłasz-Sobolev embedding domains

Advances in Nonlinear Analysis
In this article, the authors study the embedding properties of Hajłasz-Sobolev spaces with generalized smoothness on Euclidean domains, whose regularity is described via a smoothness weight function ϕ:[0,∞)→[0,∞)\phi :\left[0,\infty )\to \left[0,\infty ).
Li Ziwei, Yang Dachun, Yuan Wen
doaj   +1 more source

Qualitative Lipschitz to bi-Lipschitz decomposition

Analysis and Geometry in Metric Spaces
We prove that any Lipschitz map that satisfies a condition inspired by the work of G. David may be decomposed into countably many bi-Lipschitz pieces.
Bate David
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