Convergence and Local-to-Global Results for P-Superminimizers on Quasiopen Sets
Convergence and Local-to-Global Results for P-Superminimizers on Quasiopen Sets
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 and local-to-global principles for fine p-(super)minimizers on quasiopen sets. A substantial part of these considerations is to show that the functions belong to a suitable …