Harmonic functions and mass cancellation
Harmonic functions and mass cancellation
If a function on an open set in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="bold upper R Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:mtext mathvariant="bold">R</mml:mtext> </mml:mrow> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{\textbf {R}^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> has the mean value property for one ball at each point of the domain, the …