Some sharp inequalities related to Moser-Tridinger-Onofri inequality
Abstract
In this dissertation, we focus on the study of sharp inequalities of Moser-
Trudinger-Onofri type. We first establish the analog Bliss and Hardy inequal-
ities with sharp constant involving exponential weight function. One special
case of the inequalities (for n = 2 ) leads to a direct proof of Onofri inequality
on S2. Then we establish the sharp trace inequalities on any smooth bounded
simply connected domain in R2.
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- OU - Dissertations [9315]