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Sharp Inequalities and Blow-up Analysis for Singular Moser-Trudinger Embeddings.

TitleSharp Inequalities and Blow-up Analysis for Singular Moser-Trudinger Embeddings.
Publication TypeThesis
Year of Publication2015
AuthorsMancini, G
UniversitySISSA
KeywordsMoser-Trudinger
Abstract

We investigate existence of solutions for a singular Liouville equation on S^2 and prove sharp Onofri-type inequalities for a Moser-Trudinger functional in the presence of singular potentials. As a consequence we obtain existence of extremal functions for the Moser-Trudinger embedding on compact surfaces with conical singularities. Finally we study the blow-up behavior for sequences of solutions Liouville-type systems and prove a compactness condition which plays an important role in the variational analysis of Toda systems.

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Mathematics

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Submitted by gmancini@sissa.it (gmancini@sissa.it) on 2015-09-22T12:27:17Z
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