Samankaltainen aineisto
Näytetään aineistoja, joilla on samankaltainen nimeke tai asiasanat.
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Existence and almost uniqueness for p-harmonic Green functions on bounded domains in metric spaces
Björn, Anders; Björn, Jana; Lehrbäck, Juha (Elsevier, 2020)We study (p-harmonic) singular functions, defined by means of upper gradients, in bounded domains in metric measure spaces. It is shown that singular functions exist if and only if the complement of the domain has positive ... -
p-harmonic coordinates for Hölder metrics and applications
Julin, Vesa; Liimatainen, Tony; Salo, Mikko (International Press, 2017)We show that on any Riemannian manifold with H¨older continuous metric tensor, there exists a p-harmonic coordinate system near any point. When p = n this leads to a useful gauge condition for regularity results in ... -
On one-dimensionality of metric measure spaces
Schultz, Timo (American Mathematical Society (AMS), 2021)In this paper, we prove that a metric measure space which has at least one open set isometric to an interval, and for which the (possibly non-unique) optimal transport map exists from any absolutely continuous measure to ... -
Gradient estimates and a failure of the mean value principle for p-harmonic functions
Varpanen, Harri (University of Jyväskylä, 2008) -
Gradient estimates for heat kernels and harmonic functions
Coulhon, Thierry; Jiang, Renjin; Koskela, Pekka; Sikora, Adam (Elsevier, 2020)Let (X,d,μ) be a doubling metric measure space endowed with a Dirichlet form E deriving from a “carré du champ”. Assume that (X,d,μ,E) supports a scale-invariant L2-Poincaré inequality. In this article, we study the following ...
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