List of publications

Research Articles

Books and Research Monographs

  • Lectures on elliptic partial differential equations (with L. Ambrosio and A. Massaccesi)
    in press, distributed by Springer in the SNS Lectures Notes series.

    Here you find the front cover, the table of contents and the index

Surveys, reports, volume contributions

  • Free boundary minimal surfaces: a survey of recent results
    submitted.
  • Four lectures on asymptotically flat Riemannian manifolds
    in Einstein equations: physical and mathematical aspects of general relativity, Birkhäuser (to appear).
  • From scalar curvature rigidity phenomena to min-max geodesics
    Oberwolfach Reports, 14 (2017), no. 3, 2268-2272.
  • Effective index estimates via Euclidean isometric embeddings
    Oberwolfach Reports, 13 (2016), no. 2, 1626-1629.
  • Analyzing the rate of convergence of geometric flows
    Oberwolfach Reports, 12 (2015), no. 3, 2078-2082.
  • Localizing solutions of the Einstein constraint equations
    Oberwolfach Reports, 11 (2014), no. 3, 1997-2000.
  • Rigidity and flexibility phenomena in asymptotically flat spaces
    Oberwolfach Reports, 11 (2014), no. 3, 1818-1822.
  • A class of existence results for the singular Liouville equation (with A. Malchiodi)
    Comptes Rendus de l'Acadèmie des Sciences, 349 (2011), no. 3-4, 161-166.

Theses

  • Rigidity and flexibility phenomena in General Relativity
    Stanford University Ph.D. Thesis (under the direction of Richard Schoen), 152 pages.
  • A class of existence results for the singular Liouville equation
    Università di Pisa Laurea Specialistica Thesis (under the direction of Andrea Malchiodi), 91 pages.
  • A mass-transportation approach to some functional inequalities
    Università di Pisa Laurea Thesis (under the direction of Luigi Ambrosio), 98 pages.