43 citations · 420 across the 43 of their papers we have counts for
4 papers · 2 filters
The annular decay property and capacity estimates for thin annuli
Anders Björn, Jana Björn, Juha Lehrbäck
We obtain upper and lower bounds for the nonlinear variational capacity of thin annuli in weighted and in metric spaces, primarily under the assumptions of an annula…
The Petrovski\uı criterion and barriers for degenerate and singular p-parabolic equations
Anders Björn, Jana Björn, Ugo Gianazza
In this paper we obtain sharp Petrovskii criteria for the p-parabolic equation, both in the degenerate case p>2 and the singular case 1<p<2. We also give an example of an irregular…
Minima of quasisuperminimizers
Anders Björn, Jana Björn, Riikka Korte
Let u_i be a Q_i-quasisuperminimizer, i=1,2, and u=min{u_1,u_2}, where 1 <= Q_1 <= Q_2. Then u is a quasisuperminimizer, and we improve upon the known upper bound (due to Kinnunen…
Sobolev spaces, fine gradients and quasicontinuity on quasiopen sets
Anders Björn, Jana Björn, Visa Latvala
We study different definitions of Sobolev spaces on quasiopen sets in a complete metric space equipped with a doubling measure supporting a p-Poincaré inequality with 1<p<\infty, a…