Nonlinear potential theory on metric spaces
Publisher
University of JyväskyläISBN
978-951-39-3269-5ISSN Search the Publication Forum
1457-8905Metadata
Show full item recordCollections
- Väitöskirjat [3431]
Related items
Showing items with similar title or keywords.
-
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 ... -
Notions of Dirichlet problem for functions of least gradient in metric measure spaces
Korte, Riikka; Lahti, Panu; Li, Xining; Shanmugalingam, Nageswari (European Mathematical Society Publishing House, 2019)We study two notions of Dirichlet problem associated with BV energy minimizers (also called functions of least gradient) in bounded domains in metric measure spaces whose measure is doubling and supports a (1, 1)-Poincaré ... -
Existence and uniqueness of ρ(x)-harmonic functions for bounded and unbounded ρ(x)
Keisala, Jukka (University of Jyväskylä, 2011) -
Removable sets for intrinsic metric and for holomorphic functions
Kalmykov, Sergei; Kovalev, Leonid V.; Rajala, Tapio (Springer; Hebrew University Magnes Press, 2019)We study the subsets of metric spaces that are negligible for the infimal length of connecting curves; such sets are called metrically removable. In particular, we show that every closed totally disconnected set with finite ...