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Remarks on mean value properties of solutions of second order differential operators. (English) Zbl 0755.35005
Possible extensions of the mean value theorem for harmonic functions are studied. The authors prove the mean value theorems for solutions of \(Lu=0\), where \(L\) is a certain second-order elliptic-like differential operator.

MSC:
35B05 Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs
65H10 Numerical computation of solutions to systems of equations
35J25 Boundary value problems for second-order elliptic equations
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