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Ilaria Fragalà
[fragala]
Associate Professor, Dip. Mat. Pol. Milano
Email:
ilaria.fragala
AT
polimi.it
Available papers (53):
[plain text]
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
(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)
D. Bucur
-
I. Fragalà
- G. Verzini -
B. Velichkov
(Accepted Paper:
Trans. Amer. Math. Soc.
)
On the honeycomb conjecture for a class of minimal convex partitions
(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
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"
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