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.

Variational aspects of singular Liouville systems

Battaglia, Luca
2015

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.
25-set-2015
Inglese
Malchiodi, Andrea
SISSA
Trieste
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Utilizza questo identificativo per citare o creare un link a questo documento: https://hdl.handle.net/20.500.14242/168993
Il codice NBN di questa tesi è URN:NBN:IT:SISSA-168993