Results 11 to 17 of about 17 (17)
Analysis and Geometry in Metric Spaces, 2018 We study an inhomogeneous Neumann boundary value problem for functions of least gradient on bounded domains in metric spaces that are equipped with a doubling measure and support a Poincaré inequality.
Lahti Panu +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
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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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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 AnalysisIn 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
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Qualitative Lipschitz to bi-Lipschitz decomposition
Analysis and Geometry in Metric SpacesWe 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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