43 citations · 420 across the 43 of their papers we have counts for
6 papers · 1 filter
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…
Quasiopen and p-path open sets, and characterizations of quasicontinuity
Anders Björn, Jana Björn, Jan Malý
In this paper we give various characterizations of quasiopen sets and quasicontinuous functions on metric spaces. For complete metric spaces equipped with a doubling measure suppor…
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…
An axiomatic approach to gradients with applications to Dirichlet and obstacle problems beyond function spaces
Joakim Arnlind, Anders Björn, Jana Björn
We develop a framework for studying variational problems in Banach spaces with respect to gradient relations, which encompasses many of the notions of generalized gradients that ap…