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Functions with the restricted mean value property. (Chinese. English summary) Zbl 0693.31002
Summary: Let \(\Omega\) be a Lipschitz domain in \(R^ N\) (N\(\geq 3)\), f be a continuous function on \(\Omega\) with the restricted mean value property. A sufficient condition is given for f to be harmonic on \(\Omega\).

MSC:
31B05 Harmonic, subharmonic, superharmonic functions in higher dimensions
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