cvgmt: Eleonora Cinti

Calculus of Variations and Geometric Measure Theory

Eleonora Cinti

[cinti]

Associate Professor, Università di Bologna

Email: eleonora.cinti5 AT unibo.it

Home-page: http://www.dm.unibo.it/~eleonora.cinti5/

Available papers (26):

L. Beck - E. Cinti - C. Seis (Submitted Paper)
Optimal regularity of isoperimetric sets with H\"older densities (2023)
E. Cinti - F. Glaudo - A. Pratelli - X. Ros-Oton - J. Serra (Trans. Amer. Math. Soc.)
Sharp quantitative stability for isoperimtric inequalities with homogeneous weights (2022)
E. Cinti - F. Colasuonno (Submitted Paper)
Existence and non-existence results for a semilinear fractional Neumann problem (2022)
E. Cinti - R. Ognibene - B. Ruffini (Mathematics in Engineering)
A quantitative stability inequality for fractional capacities (2021)
X. Cabré - E. Cinti - J. Serra (Submitted Paper)
Stable solutions to the fractional Allen-Cahn equation in the nonlocal perimeter regime (2021)
L. Brasco - E. Cinti - S. Vita (Accepted Paper: J. Funct. Anal.)
A quantitative stability estimate for the fractional Faber-Krahn inequality (2020)
E. Cinti - F. Colasuonno (Accepted Paper: J. Differential Equations)
A nonlocal supercritical Neumann problem (2019)
E. Cinti (Accepted Paper: Springer INDAM Series)
Flatness results for nonlocal phase transitions (2018)
E. Cinti - C. Sinestrari - E. Valdinoci (Accepted Paper: Analysis & PDE)
Convex sets evolving by volume preserving fractional mean curvature flows (2018)
E. Cinti (Accepted Paper: DCDS-S)
Saddle-shaped solutions for the fractional Allen-Cahn equation (2017)
L. Brasco - E. Cinti (Accepted Paper: Discrete Contin. Dyn. Syst. Ser. A)
On fractional Hardy inequalities in convex sets (2017)
X. Cabré - E. Cinti - J. Serra (Accepted Paper: J. Reine Angew. Math. (Crelle's Journal).)
Stable $s$-minimal cones in $\mathbb R^3$ are flat for $s\sim 1$ (2017)
E. Cinti - P. Miraglio - E. Valdinoci (Accepted Paper: J. Geom. Anal.)
One-dimensional symmetry for the solutions of a three-dimensional water wave problem (2017)
E. Cinti - A. Pratelli (Math. Ann.)
Regularity of isoperimetric sets in $\mathbb R^2$ with density (2017)
E. Cinti - A. Pratelli (J. Reine Angew. Math. (Crelle))
The $\varepsilon-\varepsilon^\beta$ property, the boundedness of isoperimetric sets in $\mathbb R^N$ with density, and some applications (2017)
E. Cinti - F. Otto (Accepted Paper: J. Funct. Anal.)
Interpolation inequalities in pattern formation (2016)
E. Cinti - B. Franchi - M. M. González (Accepted Paper: Calc. Var. and PDE)
$\Gamma$-convergence of variational functionals with boundary terms in Stein manifolds (2016)
E. Cinti - C. Sinestrari - E. Valdinoci (Accepted Paper: Proc. Amer. Math. Soc.)
Neckpinch singularities in Fractional Mean Curvature Flows (2016)
E. Cinti - J. Serra - E. Valdinoci (Accepted Paper: J. Diff. Geom.)
Quantitative flatness results and BV-estimates for stable nonlocal minimal surfaces (2016)
E. Cinti - F. Ferrari (Accepted Paper: NoDea)
Geometric inequalities for fractional Laplace operators and applications (2015)
E. Cinti - J. Davila - M. Del Pino (Accepted Paper: J. London Math. Soc.)
Solutions of the fractional Allen-Cahn equation which are invariant under screw motion (2015)
E. Cinti - J. Tan (Accepted Paper: Journal of Math. Analysis and Appl.)
A NONLINEAR LIOUVILLE THEOREM FOR FRACTIONAL EQUATIONS IN THE HEISENBERG GROUP (2014)
X. Cabré - E. Cinti (Accepted Paper: Calc. Var. Partial Differential Equations)
Sharp energy estimates for nonlinear fractional diffusion equations (2012)
E. Cinti (Accepted Paper: Ann. Scuola Norm. Sup. Pisa)
Saddle-shaped solutions of bistable elliptic equations involving the half-Laplacian (2011)
E. Cinti (Phd Thesis)
Bistable elliptic equations with fractional diffusion (2010)
X. Cabré - E. Cinti (Discrete Contin. Dyn. Syst.)
Energy estimates and 1-D symmetry for nonlinear equations involving the half-Laplacian (2010)

Seminars:

9 sep 2021: Flatness results for stable solutions to some nonlocal problems
6 mar 2019: Some recent results in the study of fractional mean curvature flow
17 jun 2014: A quantitative weighted isoperimetric inequality via the ABP method

Speaker:

5 oct 2023 - 5 oct 2023: Calculus of Variations and Free Boundary Problems VI
12 sep 2022 - 14 sep 2022: Fall workshop on nonlinear and nonlocal PDEs
8 jun 2022 - 10 jun 2022: Geometric Analysis and PDE on Garda Lake
6 sep 2021 - 10 sep 2021: Variational methods and applications
10 sep 2018 - 14 sep 2018: NONLINEAR ANALYSIS AND PDEs
22 aug 2018 - 23 aug 2018: Nonlinear PDE Days Frankfurt - Gießen - Karlsruhe - Köln
31 may 2018 - 1 jun 2018: Variational and PDE problems in Geometric Analysis
15 mar 2018 - 15 mar 2018: Recent advances in the Calculus of Variations and PDEs
11 dec 2017 - 13 dec 2017: Mini-conference in PDEs
6 oct 2016 - 8 oct 2016: Research Meeting on Non-local Operators
9 mar 2015 - 11 mar 2015: Phase transition problems and nonlinear PDEs
16 jun 2014 - 20 jun 2014: Isoperimetric Problems Between Analysis and Geometry

Organizer:

31 jan 2024 - 2 feb 2024: Workshop "Regularity and geometric aspects of nonlinear PDEs"
6 jun 2022 - 7 jun 2022: Nonlinear meeting in Bologna