46 citations · 339 across the 63 of their papers we have counts for
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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…
Traces and extensions of certain weighted Sobolev spaces on and Besov functions on Ahlfors regular compact subsets of
Jeff Lindquist, Nageswari Shanmugalingam
The focus of this paper is on Ahlfors -regular compact sets such that, for each , the weighted measure given by integrating the density…
Extension and trace results for doubling metric measure spaces and their hyperbolic fillings
Anders Bjorn, Jana Bjorn, Nageswari Shanmugalingam
In this paper we study connections between Besov spaces of functions on a compact metric space , equipped with a doubling measure, and the Newton--Sobolev space of functions on…
Equivalence of solutions of eikonal equation in metric spaces
Qing Liu, Nageswari Shanmugalingam, Xiaodan Zhou
In this paper we prove the equivalence between some known notions of solutions to the eikonal equation and more general analogs of the Hamilton-Jacobi equations in complete and rec…