ScalingStacks

Theorem 1.6 . [020M]

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Theorem 1.6.

(Theorem 2.1) Let φ\varphi be a smooth solution to (1.1) and (1.2), then there exists a constant CC, depending only on ‖φ‖0||\varphi||_{0}, and the backgroud metric gg, such that

(1.7) maxM⁡eFn≤C​maxM​|∇φ|2.\max_{M}e^{\frac{F}{n}}\leq C\max_{M}|\nabla\varphi|^{2}.

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