Visa Latvala

most citedConvergence and local-to-global results for

p

-superminimizers on quasiopen sets

1 citations · 1 across the 2 of their papers we have counts for

collaborators

3 papers

math.AP2022

The Perron method associated with finely $p$ -harmonic functions on finely open sets

Anders Björn, Jana Björn, Visa Latvala

Given a bounded finely open set $V$ and a function $f$ on the fine boundary of $V$ , we introduce four types of upper Perron solutions to the nonlinear Dirichlet problem for $p$ -ene…

math.AP2022★ 1 cited

Convergence and local-to-global results for $p$ -superminimizers on quasiopen sets

Anders Björn, Jana Björn, Visa Latvala

In this paper, several convergence results for fine $p$ -(super)minimizers on quasiopen sets in metric spaces are obtained. For this purpose, we deduce a Caccioppoli-type inequality…

math.AP2021

The Dirichlet problem for p-minimizers on finely open sets in metric spaces

Anders Björn, Jana Björn, Visa Latvala

We initiate the study of fine $p$ -(super)minimizers, associated with $p$ -harmonic functions, on finely open sets in metric spaces, where $1 < p < \infty$ . After having developed th…

The Perron method associated with finely p-harmonic functions on finely open sets

Convergence and local-to-global results for p-superminimizers on quasiopen sets

The Dirichlet problem for p-minimizers on finely open sets in metric spaces

The Perron method associated with finely $p$ -harmonic functions on finely open sets

Convergence and local-to-global results for $p$ -superminimizers on quasiopen sets