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Mean values of subsolutions of elliptic and parabolic equations

Mean values of subsolutions of elliptic and parabolic equations

Integral averages of weak subsolutions (and supersolutions) in <inline-formula content-type="math/mathml"> <mml:math xmlns:mml="http://www.w3.org/1998/Math/MathML" alttext="upper R Superscript n"> <mml:semantics> <mml:mrow class="MJX-TeXAtom-ORD"> <mml:msup> <mml:mi>R</mml:mi> <mml:mi>n</mml:mi> </mml:msup> </mml:mrow> <mml:annotation encoding="application/x-tex">{R^n}</mml:annotation> </mml:semantics> </mml:math> </inline-formula> of quasilinear elliptic and parabolic equations are investigated. The important feature is that these integral averages are defined in terms of …