Reflection principle for quasiminimizers (Q1032742)

The author proves the reflection principle for \(K\)-quasi minimizers in \(\mathbb R^n\), \(n \geq 2\), provided that \(K \in [1,2]\). An example is given to show that the reflection principle does not hold when \(K>1\). The condition on \(K\) is not needed if \(n=1\). The arguments of the proof utilize a local integrability result up to the boundary for \(K\)-quasi minimizers.