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

Yuxiang Li; Cheikh Birahim Ndiaye

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

Yuxiang Li·Cheikh Birahim Ndiaye

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Abstract

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.

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Yuxiang Li, Cheikh Birahim Ndiaye. 2006-09-14. Extremal functions for Moser-Trudinger type inequality on compact closed 4-manifolds. https://arxiv.org/abs/math/0609030

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