43 citations · 420 across the 43 of their papers we have counts for
5 papers · 2 filters
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 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…
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…