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Variational aspects of singular Liouville systems

Candidate: 
Luca Battaglia
Supervisor: 
Andrea Malchiodi
Academic Year: 
2014-2015
Research Group: 
Mathematical Analysis, Modelling, and Applications
Present Position: 
Postdoc
Université Catholique de Louvain
File: 
PDF icon Battaglia_PhD_thesis.pdf
Publication Related to the Thesis: 
  • L. Battaglia, A. Malchiodi, "A Moser-Trudinger inequality for the singular Toda system",  Bull. Inst. Math. Acad. Sin. 9 (2014), no. 1, 1-23
  • L. Battaglia, A. Jevnikar, A. Malchiodi, D. Ruiz, "A general existence result for the Toda system on compact surfaces", Adv. in Math. 285 (2015), 937-979
  • L. Battaglia, "Existence and multiplicity result for the singular Toda system", J. Math. Anal. Appl. 424 (2015), no. 1, 49-85
  • L. Battaglia, G. Mancini, "A note on compactness properties of the singular Toda system", Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl., 26(3):299-307, 2015
  • L. Battaglia, "Moser-Trudinger inequalities for singular Liouville systems", submit, preprint http://www.arxiv.org/abs/1410.4994/
  • L. Battaglia, A. Malchiodi, "Existence and non-existence results for the SU(3) singular Toda system on compact surfaces", inviato, preprint http://www.arxiv.org/abs/1508.00929/

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