18 citations · 96 across the 15 of their papers we have counts for
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math.AP2017★ 5 cited
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…
math.AP2017★ 14 cited
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…
math.AP2017★ 18 cited
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…