43 citations · 420 across the 43 of their papers we have counts for
5 papers · 1 filter
The tusk condition and Petrovski criterion for the normalized $p\mspace{1mu}$-parabolic equation
Anders Björn, Jana Björn, Mikko Parviainen
We study boundary regularity for the normalized $p\mspace{1mu}$-parabolic equation in arbitrary bounded domains. Effros and Kazdan (Indiana Univ. Math. J. 20 (1970), 683-693) showe…
Tensor products and sums of p-harmonic functions, quasiminimizers and p-admissible weights
Anders Björn, Jana Björn
The tensor product of two p-harmonic functions is in general not p-harmonic, but we show that it is a quasiminimizer. More generally, we show that the tensor product of two quasimi…
The Kellogg property and boundary regularity for p-harmonic functions with respect to the Mazurkiewicz boundary and other compactifications
Anders Björn
In this paper boundary regularity for p-harmonic functions is studied with respect to the Mazurkiewicz boundary and other compactifications. In particular, the Kellogg property (wh…
Poincaré inequalities and Newtonian Sobolev functions on noncomplete metric spaces
Anders Björn, Jana Björn
Let be a noncomplete metric space satisfying the usual (local) assumptions of a doubling property and a Poincaré inequality. We study extensions of Newtonian Sobolev functions…
Local and semilocal Poincaré inequalities on metric spaces
Anders Björn, Jana Björn
We consider several local versions of the doubling condition and Poincaré inequalities on metric spaces. Our first result is that in proper connected spaces, the weakest local assu…