Results 11 to 20 of about 37 (37)

An Analog of the Neumann Problem for the 1-Laplace Equation in the Metric Setting: Existence, Boundary Regularity, and Stability

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, Malý Lukáš, Shanmugalingam Nageswari   +2 more
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

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
doaj   +1 more source

Bilinear decompositions for products of local Hardy spaces and inhomogeneous Lipschitz spaces on spaces of homogeneous type

Advances in Nonlinear Analysis
Using the wavelets characterization of inhomogeneous Lipschitz spaces, the author establishes a bilinear decomposition for products of functions in local Hardy spaces hp(X) ${h}^{p}\left(\mathcal{X}\right)$ and inhomogeneous Lipschitz spaces lip1/p−1(X)
Wang Fan
doaj   +1 more source

Distributional Sectional Curvature Bounds for Riemannian Metrics of Low Regularity. [PDF]

J Geom Anal
Erös D, Kunzinger M, Ohanyan A, Vardabasso A.   +3 more
europepmc   +1 more source

Some of the next articles are maybe not open access.

Related searches:

Weighted estimates for θ-type Calderón-Zygmund operator and its commutator on metric measure spaces

Complex Variables and Elliptic Equations, 2022
Guanghui Lu
exaly  

Separability of a Metric Space Is Equivalent to the Existence of a Borel Measure

American Mathematical Monthly, 2021
Przemysław Gorka
exaly