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Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds

Yuxiang Li, Cheikh Birahim Ndiaye

Published 2006-09-01, updated 2006-09-14Version 2

Given a compact closed four dimensional smooth Riemannian manifold, we prove existence of extremal functions for Moser-Trudinger type inequality. The method used is Blow-up analysis combined with capacity techniques.

Categories: math.AP, math.FA
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