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Variational aspects of singular Liouville systems

TitleVariational aspects of singular Liouville systems
Publication TypeThesis
Year of Publication2015
AuthorsBattaglia, L
UniversitySISSA
KeywordsVariational methods, Liouville systems, Moser-Trudinger inequalities, min-max methods
Abstract

I studied singular Liouville systems on compact surfaces from a variational point of view. I gave sufficient and necessary conditions for the existence of globally minimizing solutions, then I found min-max solutions for some particular systems. Finally, I also gave some non-existence results.

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Submitted by lbatta@sissa.it (lbatta@sissa.it) on 2015-09-22T09:49:56Z
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