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For questions regarding harmonic functions.

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180 views

Positive subharmonic functions with constant integral blowing up at boundary

Say, we're given smooth functions $f_n$, $n=1,2,3,...$ defined on a smooth bounded domain $\Omega\subset\mathbb{R}^d$ satisfying $\Delta f_n\ge 0$ (subharmonic) $f_n\ge 0$ $\int_\Omega f_n=I>0$ for a …
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