Some sharp inequalities related to Moser-Tridinger-Onofri inequality

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dc.contributor.advisorZhu, Meijun
dc.contributor.authorLi, Suyu
dc.contributor.committeeMemberLuo, Yiqi
dc.contributor.committeeMemberAlbert, John
dc.contributor.committeeMemberOzaydin, Murad
dc.contributor.committeeMemberPetrov, Nikola
dc.date.accessioned2014-05-08T15:57:31Z
dc.date.available2014-05-08T15:57:31Z
dc.date.issued2014-05
dc.date.manuscript2014
dc.description.abstractIn 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.en_US
dc.identifier.urihttp://hdl.handle.net/11244/10370
dc.languageen_USen_US
dc.subjectMathematics.en_US
dc.thesis.degreePh.D.en_US
dc.titleSome sharp inequalities related to Moser-Tridinger-Onofri inequalityen_US
ou.groupCollege of Arts and Sciences::Department of Mathematics

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