46 citations · 339 across the 63 of their papers we have counts for
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math.MG2013★ 11 cited
The Mazurkiewicz distance and sets that are finitely connected at the boundary
Anders Björn, Jana Björn, Nageswari Shanmugalingam
We study local connectedness, local accessibility and finite connectedness at the boundary, in relation to the compactness of the Mazurkiewicz completion of a bounded domain in a m…
math.MG2013★ 28 cited
The Dirichlet problem for p-harmonic functions with respect to the Mazurkiewicz boundary
Anders Bjorn, Jana Bjorn, Nageswari Shanmugalingam
In this paper we develop the Perron method for solving the Dirichlet problem for the analog of the p-Laplacian, i.e. for p-harmonic functions, with Mazurkiewicz boundary values. Th…