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Blow-up Theory for Elliptic PDEs in Riemannian Geometry (MN-45) by Frédéric Robert, Emmanuel Hebey, Olivier Druet

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Chapter Six

Asymptotics When the Energy Is Arbitrary

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By the maximum principle and regularity theory,411536111 and either 411536311 or u0 > 0 everywhere in M. We assume in what follows that

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so that blow-up occurs. If this is not the case, up to a subsequence, we easily get from standard regularity theory that and this provides a complete description of the behavior ...

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