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Variational Theory for Liouville Equations with Singularities
Malchiodi, Andrea
2009
Abstract
In this note we consider a singular Liouville equation on
compact surfaces, arising from the study of Chern-Simons vortices. Using
improved versions of the Moser-Trudinger inequality and a min-max
scheme, we prove existence of solutions in cases with lack of coercivity.
Full details and further references can be found in the forthcoming
paper [17].
Series
Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics
41 (2009)
Publisher
EUT Edizioni Università di Trieste
Source
Andrea Malchiodi, "Variational Theory for Liouville Equations with Singularities”, in: Rendiconti dell’Istituto di Matematica dell’Università di Trieste. An International Journal of Mathematics, 41 (2009), pp. 85–95.
Languages
en
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