Lindelöf theorems for monotone Sobolev functions in Orlicz spaces
A continuous function \(u\) in \(B = \{ x\in R^n: \;|x| <1 \}\) is called monotone if \[ \max_{\overline{D}} u = \max_{\partial D} u, \qquad \min_{\overline{D}} u = \min_{\partial D} u, \] for any domain \(D\) with \(D \subset \overline{B}\). The paper deals with the Lindelöf problem asking for conditions ensuring that \(u\) has tangential and nontangential limits at \(\xi\) with \(|\xi| =1\).
scientific article; zbMATH DE number 6386416