Ein Regularitätssatz für ein lineares System von Variationsungleichungen mit einer Halbraumnebenbedingung. (A regularity result for a linear system of variational inequalities with a half-space constraint) (Q1103177)

We consider linear non-diagonal elliptic systems of variational inequalities where the admissible class of functions is characterized by Dirichlet boundary conditions and a half-space constraint \(u\cdot a\geq \theta\) for some fixed vector \(a\in {\mathbb{R}}^ N\). By potential theoretic arguments we show continuity of the solution provided the obstacle \(\theta\) :\(\Omega\to {\mathbb{R}}\) is a continuous function.