43 citations · 420 across the 43 of their papers we have counts for
8 papers · 1 filter
Sharp capacity estimates for annuli in weighted R^n and in metric spaces
Anders Björn, Jana Björn, Juha Lehrbäck
We obtain estimates for the nonlinear variational capacity of annuli in weighted R^n and in metric spaces. We introduce four different (pointwise) exponent sets, show that they all…
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…
The weak Cartan property for the p-fine topology on metric spaces
Anders Björn, Jana Björn, Visa Latvala
We study the p-fine topology on complete metric spaces equipped with a doubling measure supporting a p-Poincare inequality, 1 < p< oo. We establish a weak Cartan property, which yi…
Boundary regularity for degenerate and singular parabolic equations
Anders Björn, Jana Björn, Ugo Gianazza +1
We characterise regular boundary points of the parabolic -Laplacian in terms of a family of barriers, both when and . Due to the fact that , it turns out t…
The Dirichlet problem for p-harmonic functions on the topologist's comb
Anders Björn
In this paper we study the Perron method for solving the p-harmonic Dirichlet problem on the topologist's comb. For functions which are bounded and continuous at the accessible poi…
Geometric analysis on Cantor sets and trees
Anders Björn, Jana Björn, James T. Gill +1
Using uniformization, Cantor type sets can be regarded as boundaries of rooted trees. In this setting, we show that the trace of a first-order Sobolev space on the boundary of a re…
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…
Regularity of -superharmonic functions, the Kellogg property and semiregular boundary points
Tomasz Adamowicz, Anders Björn, Jana Björn
We study various boundary and inner regularity questions for -(super)harmonic functions in Euclidean domains. In particular, we prove the Kellogg property and introduce a…