46 citations · 339 across the 63 of their papers we have counts for
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math.AP2016★ 2 cited
Dichotomy of global capacity density in metric measure spaces
Hiroaki Aikawa, Anders Björn, Jana Björn +1
The variational capacity cap_p in Euclidean spaces is known to enjoy the density dichotomy at large scales, namely that for every subset E of R^n, inf_{x in R^n} (cap_p(E \cap B(x,…
math.AP2016★ 15 cited
Notions of Dirichlet problem for functions of least gradient in metric measure spaces
Riikka Korte, Panu Lahti, Xining Li +1
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 i…
math.MG2016★ 1 cited
Neumann problem for p-Laplace equation in metric spaces using a variational approach: existence, boundedness, and boundary regularity
Lukáš Malý, Nageswari Shanmugalingam
We employ a variational approach to study the Neumann boundary value problem for the -Laplacian on bounded smooth-enough domains in the metric setting, and show that solutions e…