Associate Professor, Dip. Mat. Pol. Milano

Email: ilaria.fragala AT polimi.it

Available papers (53):

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• V. Amato - D. Bucur - I. Fragalà (Submitted Paper)
  The geometric size of the fundamental gap (2024)
• B. Bogosel - D. Bucur - I. Fragalà (preprint)
  The nonlocal isoperimetric problem for polygons: Hardy-Littlewood and Riesz inequalities (2023)
• A. Cesaroni - I. Fragalà - M. Novaga (Accepted Paper: Comm. Contemp. Math.)
  Lattice tilings minimizing nonlocal perimeters (2023)
• D. Bucur - I. Fragalà (preprint)
  Rigidity for measurable sets (2021)
• D. Bucur - I. Fragalà (Submitted Paper)
  Symmetry results for variational energies on convex polygons (2020)
• D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)
  The Multiphase Mumford-Shah Problem (2019)
• D. Bucur - I. Fragalà - A. Giacomini (preprint)
  Optimal partitions for Robin Laplacian eigenvalues (2018)
• D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)
  Local minimality results for the Mumford-Shah functional via monotonicity (2018)
• D. Bucur - I. Fragalà - A. Giacomini (Submitted Paper)
  Multiphase Free Discontinuity Problems: Monotonicity Formula and Regularity Results (2018)
• D. Bucur - I. Fragalà - G. Verzini - B. Velichkov (Trans. Amer. Math. Soc.)
  On the honeycomb conjecture for a class of minimal convex partitions (2018)
• D. Bucur - I. Fragalà (Preprint)
  On the honeycomb conjecture for Robin Laplacian eigenvalues (2017)
• B. Bogosel - D. Bucur - I. Fragalà (Submitted Paper)
  Phase field approach to optimal packing problems and related Cheeger clusters (2017)
• D. Bucur - I. Fragalà (Submitted Paper)
  Proof of the honeycomb asymptotics for optimal Cheeger clusters (2017)
• G. Bouchitté - I. Fragalà - I. Lucardesi (Applied Mathematics & Optimization)
  Sensitivity of the compliance and of the Wasserstein distance with respect to a varying source (2017)
• G. Bouchitté - I. Fragalà - I. Lucardesi (SIAM J. Control Optim.)
  A variational method for second order shape derivatives (2016)
• D. Bucur - I. Fragalà (Submitted Paper: Journal of Geometric Analysis)
  A Faber-Krahn inequality for the Cheeger constant of N-gons (2014)
• G. Bouchitté - I. Fragalà - I. Lucardesi (Math. Program., Ser. B)
  Shape derivatives for minima of integral functionals (2014)
• I. Fragalà - F. Gazzola - J. Lamboley (proceedings of the INdAM Workshop "Geometric properties for parabolic and elliptic PDE's")
  Sharp bounds for the p-torsion of convex planar domains (2013)
• J. J. Alibert - G. Bouchitté - I. Fragalà - I. Lucardesi (Interfaces and Free Boundaries)
  A nonstandard free boundary problem arising in the shape optimization of thin torsion rods (2013)
• D. Bucur - I. Fragalà - J. Lamboley (ESAIM Control Optim. Calc. Var.)
  Optimal convex shapes for concave functionals (2012)
• G. Bouchitté - I. Fragalà - I. Lucardesi - P. Seppecher (SIAM J. Math. Anal.)
  Optimal thin torsion rods and Cheeger sets (2012)
• I. Fragalà - F. Gazzola - J. Lamboley - M. Pierre (Analysis (Munich))
  Counterexamples to Symmetry for Partially Overdetermined Elliptic Problems (2009)
• G. Buttazzo - L. De Pascale - I. Fragalà (Discrete and Continuous Dynamical Systems - Series A)
  Erratum to: Topological equivalence of some variational problems involving distances (2007)
• G. Bouchitté - I. Fragalà (Accepted Paper: Arch. Rat. Mech. Anal.)
  Optimality conditions for mass design problems and applications to thin plates (2006)
• N. Desenzani - I. Fragalà (Prog. Nonlinear Differential Equations Appl., Birkhauser)
  Asymptotics of boundary value problems for supercritical Ginzburg-Landau energies (2006)
• N. Desenzani - I. Fragalà (SIAM Journal of Mathematical Analysis)
  Concentration of Ginzburg-Landau energies with ``supercritical'' growth (2006)
• G. Bouchitté - I. Fragalà (Submitted Paper)
  Modelling thin plates: a reduction dimension analysis for linear problems under constraint (2006)
• I. Fragalà - F. Gazzola - B. Kawohl (Math. Zeitschrift)
  Overdetermined problems with possibly degenerate ellipticity, a geometric approach (2006)
• G. Crasta - I. Fragalà - F. Gazzola (Zeit. Angew. Math. Phys.)
  On a long-standing conjecture by Pólya-Szegö and related topics (2005)
• I. Fragalà - M. S. Gelli - A. Pratelli (JMPA)
  Continuity of an optimal transport in Monge problem (2005)
• G. Crasta - I. Fragalà - F. Gazzola (NODEA)
  On the role of energy convexity in the web function approximation (2005)
• I. Fragalà - F. Gazzola - G. Lieberman (Discrete Contin.Dynam. Systems)
  Regularity and nonexistence results for anisotropic quasilinear elliptic equations in convex domains (2004)
• G. Crasta - I. Fragalà - F. Gazzola (Accepted Paper: Math. Nachr.)
  Some estimates for the torsional rigidity of composite rods (2004)
• G. Bouchitté - I. Fragalà - R. Mahadevan (Calc. Var. Partial Differential Equations)
  Homogenization of second order energies on periodic thin structures (2004)
• G. Buttazzo - A. Davini - I. Fragalà - F. Macià (J. Reine Angew. Math. (Crelles Journal))
  Optimal Riemannian distances preventing mass transfer (2004)
• G. Bouchitté - I. Fragalà (Journal of Functional Analysis)
  Second order energies on thin structures: variational theory and non-local effects (2003)
• I. Fragalà - F. Gazzola - B. Kawohl (Ann. Inst. H. Poincaré)
  Existence and nonexistence results for anisotropic quasilinear elliptic equations (2003)
• I. Fragalà (ESAIM: COCV)
  Lower semicontinuity of $\mu$-quasiconvex integrals (2003)
• G. Crasta - I. Fragalà - F. Gazzola (Arch. Rational Mech. Anal.)
  A sharp upper bound for the torsional rigidity of rods by means of web functions (2002)
• A. Braides - G. Buttazzo - I. Fragalà (Asymptotic Anal.)
  Riemannian approximation of Finsler metrics (2002)
• G. Bouchitté - G. Buttazzo - I. Fragalà (J. Math. Pures Appl.)
  Bounds for the effective coefficients of homogenized low dimensional structures (2002)
• G. Bouchitté - I. Fragalà (``Variational Methods for Discontinuous Structures'', PNLDE, Birkhauser)
  Variational theory of weak geometrical structures: the measure method and its applications (2002)
• I. Fragalà (Proceedings of the First HMS2000 International School and Conference on Homogenization'', {\maius GAKUTO} Internat. Ser. Math. Sci. Appl., Tokyo (2003))
  Homogenized thin structures: optimal bounds (2002)
• G. Bouchitté - I. Fragalà (J. Convex Anal.)
  Homogenization of elastic thin structures: a measure-fattening approach (2002)
• G. Bouchitté - G. Buttazzo - I. Fragalà (J. Geom. Anal.)
  Convergence of Sobolev Spaces on Varying Manifolds (2001)
• G. Buttazzo - L. De Pascale - I. Fragalà (Discrete Contin. Dinam. Systems)
  Topological Equivalence of Some Variational Problems Involving Distances (2001)
• G. Bouchitté - I. Fragalà (SIAM J. Math. Anal.)
  Homogenization of thin structures by two-scale method with respect to measures (2001)
• G. Bellettini - G. Bouchitté - I. Fragalà (J. Convex Anal.)
  BV Functions with Respect to a Measure and Relaxation of Metric Integral Functionals (2000)
• G. Bellettini - I. Fragalà (Asymptotic Anal.)
  Elliptic Approximations to Prescribed Mean Curvature Surfaces in Finsler Geometry (2000)
• I. Fragalà (Ph.D. Thesis)
  Tangential Calculus and Variational Integrals with Respect to a Measure (2000)
• I. Fragalà - C. Mantegazza (Proc. Royal Soc. Edinburgh)
  On some Notions of Tangent Space to a Measure (1999)
• G. Bouchitté - G. Buttazzo - I. Fragalà (Ann. Scuola Norm. Sup. Cl. Sci.)
  Mean Curvature of a Measure and Related Variational Problems (1997)
• I. Fragalà (Degree Thesis)
  Rilassamento di Alcuni Problemi Variazionali con Mancanza di Compattezza (1995)

Seminars:

• 3 mar 2021: Rigidity for measurable sets
• 15 nov 2001: Un problema di ottimizzazione per insiemi convessi nel piano: stima della rigidità torsionale tramite funzioni web

Speaker:

• 16 jun 2025 - 20 jun 2025: Vito Volterra Meeting in Calculus of Variations 2025
• 9 jan 2025 - 10 jan 2025: Calculus of Variations and Free Boundary Problems X
• 20 may 2024 - 22 may 2024: 50 Anni di Calcolo delle Variazioni
• 6 jun 2012 - 8 jun 2012: Variational Problems With Multiple Scales
• 17 nov 2011 - 17 nov 2011: Mass Transportation and Related Fields

Organizer:

• 19 sep 2022 - 23 sep 2022: Shape Optimisation and Geometric Spectral Theory
• 29 mar 2021 - 2 apr 2021: Research School "Shape Optimization, Spectral Geometry and Calculus of Variations"