As picture below, what is the mean of $\mu\sup u-u$ ?
Picture below is from Estimates of eigenvalues of a compact Riemannian manifold of Li and Yau.
2026-04-07 10:36:45.1775558205
What is the mean of $\mu\sup u-u$?
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$u$ is a function, $\sup u$ is the supremum of $u$. Thus $\mu \sup u - u$ should really be written $(\mu \sup u) - u$.