Personal Homepage of Eleonora Cinti

Eleonora Cinti

Università degli Studi di Pavia
Dipartimento di Matematica F. Casorati

Via Ferrata 1
27100 Pavia

Room C10
+39.0382.985681
eleonora.cinti at unipv.it

Alba al Corno alle Scale

Curriculum Vitae

Short CV

09/2001 - 12/2004	Laurea Triennale (Bachelor) in Mathematics, University of Bologna (Italy)
12/2004 - 10/2006	Laurea Specialistica (Master) in Mathematics, University of Bologna (Italy)
01/2007 - 07/2010	Ph.D. in Mathematics, University of Bologna (Italy) and Universitat Politècnica de Catalunya (Spain) Advisors: Prof. Xavier Cabré and Prof. Bruno Franchi
09/2010 - 01/2012	Postdoctoral fellow at Felix Otto's research group, Max Planck Institute for Mathematics in the Sciences, Leipzig
02/2012 - present	Postdoctoral fellow at the University of Pavia, in the ERC Starting Grant ANALYSIS OF OPTIMAL SETS AND OPTIMAL CONSTANTS: OLD QUESTIONS AND NEW RESULTS (Principal Investigator Aldo Pratelli)

Research Interests

Publications and Preprints

Eleonora Cinti and Aldo Pratelli, The ε-ε^β property, the boundedness of isoperimetric sets in R^N with density, and some applications , preprint.

Eleonora Cinti and Felix Otto, Interpolation inequalities in pattern formation, preprint.

Xavier Cabré and Eleonora Cinti, Sharp energy estimates for nonlinear fractional diffusion equations, accepted for publication in Calculus of Variations and Partial Differential Equations (2012).

Eleonora Cinti, Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian, accepted for publication in Annali della Scuola Normale Superiore di Pisa (2011).

Xavier Cabré and Eleonora Cinti, Energy estimates and 1D symmetry for nonlinear equations involving the half-Laplacian, Discrete and Continuous Dynamical Systems 28, (2010), 1179-1206. A special issue Dedicated to Louis Nirenberg on the Occasion of his 85th Birthday.

In preparation

Eleonora Cinti, Some qualitative properties for saddle-shaped solutions of bistable equations with fractional diffusion, in preparation.

Eleonora Cinti and Aldo Pratelli, Regularity of isoperimetric sets with density in dimension 2, in preparation.

Ph.D. Thesis

Bistable elliptic equations with fractional diffusion

September 2012