Abstract
It is shown that the reflection principle holds for $K$--quasiminimizers in $\mathbb{R}^n$, $n \geq 2$, provided that $K \in [1, 2)$. For $n = 1$ the principle holds for all $K \geq 1$ and an example shows that $K$ is not preserved in the reflection process. A local integrability result up to the boundary is proved for the derivative of a quasiminimizer in $\mathbb{R}^n$, $n \geq 1$; the result is needed for the reflection principle.
Citation
Olli Martio. "Reflection principle for quasiminimizers." Funct. Approx. Comment. Math. 40 (2) 165 - 173, June 2009. https://doi.org/10.7169/facm/1246454026
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