10 citations · 43 across the 42 of their papers we have counts for
4 papers · 1 filter
Uniqueness and nonuniqueness of -harmonic Green functions on weighted and metric spaces
Anders Björn, Jana Björn, Sylvester Eriksson-Bique +1
We study uniqueness of -harmonic Green functions in domains in a complete metric space equipped with a doubling measure supporting a -Poincaré inequality, with $1<p<\inft…
Self-improvement of fractional Hardy inequalities in metric measure spaces via hyperbolic fillings
Sylvester Eriksson-Bique, Josh Kline
In this paper, we prove a self-improvement result for -fractional Hardy inequalities, in both the exponent and the regularity parameter , for bounded dom…
On Limits at Infinity of Weighted Sobolev Functions
Sylvester Eriksson-Bique, Khanh Nguyen, Pekka Koskela
We study necessary and sufficient conditions for a Muckenhoupt weight that yield almost sure existence of radial, and vertical, limits at in…
Regularity of Solutions to the Fractional Cheeger-Laplacian on Domains in Metric Spaces of Bounded Geometry
Sylvester Eriksson-Bique, Gianmarco Giovannardi, Riikka Korte +2
We study existence, uniqueness, and regularity properties of the Dirichlet problem related to fractional Dirichlet energy minimizers in a complete doubling metric measure space $(X…