Abstract
We prove that Ω ∖ E is a p-fine domain whenever Ω ⊂ Rn is a p-fine domain, E ⊂ Rn is p-polar, and 1 < p ≤ n. By a p-fine domain we understand an open connected set in the p-fine topology, i.e. in the coarsest topology making all p-superharmonic functions continuous. As an application of our main result, we establish a general version of minimum principle.
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