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arXiv · 1704.06048

Limit of Fractional Power Sobolev Inequalities

Sun-Yung Alice Chang·Fang Wang
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Abstract

We derive the Moser-Trudinger-Onofri inequalities on the 2-sphere and the 4-sphere as the limiting cases of the fractional power Sobolev inequalities on the same spaces, and justify our approach as the dimensional continuation argument initiated by Thomas P. Branson.

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Sun-Yung Alice Chang, Fang Wang. 2017-04-20. Limit of Fractional Power Sobolev Inequalities. https://arxiv.org/abs/1704.06048

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