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Giovanni Leoni
[leoni]
Full Professor, Carnegie Mellon University
Email:
giovanni
AT
andrew.cmu.edu
Available papers (43):
[plain text]
G. Leoni
(preprint)
A First Course in Fractional Sobolev Spaces
(2023)
I. Fonseca
-
N. Fusco
-
G. Leoni
-
M. Morini
(Submitted Paper)
Global and local energy minimizers for a nanowire growth model
(2021)
G. Gravina
-
G. Leoni
(preprint)
On the behavior of the free boundary for a one-phase Bernoulli problem with mixed boundary conditions
(2019)
G. Dal Maso
-
I. Fonseca
-
G. Leoni
(
Trans. Amer. Math. Soc.
)
Asymptotic Analysis of Second Order Nonlocal Cahn-Hilliard-Type Functionals
(2018)
G. Gravina
-
G. Leoni
(preprint)
On the existence and regularity of non-flat profiles for a Bernoulli free boundary problem
(2018)
G. Gravina
-
G. Leoni
(preprint)
Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems
(2018)
G. Leoni
- I. Tice (preprint)
Traces for homogeneous Sobolev spaces in infinite strip-like domains
(2018)
G. Leoni
-
R. Murray
(Submitted Paper)
A Note Regarding Second-Order $\Gamma$-limits for the Cahn--Hilliard Functional
(2017)
G. Leoni
(Lecture Notes:
AMS Graduate Studies in Mathematics
)
A First Course in Sobolev Spaces: Second Edition
(2017)
I. Fonseca
-
N. Fusco
-
G. Leoni
-
M. Morini
(Submitted Paper)
A model for dislocations in epitaxially strained elastic films
(2016)
I. Fonseca
-
G. Leoni
-
M. G. Mora
(Submitted Paper)
A Second Order Minimality Condition for a Free-Boundary Problem
(2016)
G. Leoni
-
R. Murray
(Submitted Paper:
Archive of Rational Mechanics and Analysis
)
Second-Order $\Gamma$-limit for the Cahn-Hilliard Functional
(2015)
I. Fonseca
-
G. Leoni
-
X. Y. Lu
(
Commun. Part. Diff. Eq.
)
Regularity in time for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces
(2015)
G. Dal Maso
-
I. Fonseca
-
G. Leoni
(
Calc. Var. Partial Differential Equations
)
Second Order Asymptotic Development for the Anisotropic Cahn-Hilliard Functional
(2015)
T. Blass -
I. Fonseca
-
G. Leoni
-
M. Morandotti
(
SIAM Journal on Applied Mathematics
)
Dynamics for Systems of Screw Dislocations
(2015)
I. Fonseca
-
N. Fusco
-
G. Leoni
-
M. Morini
(Submitted Paper)
Motion of Three-Dimensional Elastic Films by Anisotropic Surface Diffusion with Curvature Regularization
(2014)
G. Dal Maso
-
I. Fonseca
-
G. Leoni
(
Archive for Rational Mechanics and Analysis
)
Analytical Validation of a Continuum Model for Epitaxial Growth with Elasticity on Vicinal Surfaces
(2014)
I. Fonseca
-
G. Leoni
(Accepted Paper)
Calculus of Variations
(2014)
G. Leoni
(
ESAIM: Control, Optimisation and Calculus of Variations
)
A Remark on the Compactness for the Cahn-Hilliard Functional
(2014)
D. Arama -
G. Leoni
(
Communications in Partial Differential Equations
)
On a variational approach for water waves
(2012)
I. Fonseca
-
N. Fusco
-
G. Leoni
-
M. Morini
(
Archive for Rational Mechanics and Analysis
)
Motion of elastic thin films by anisotropic surface diffusion with curvature regularization
(2011)
I. Fonseca
-
N. Fusco
-
G. Leoni
- V. Millot (
Journal de mathematiques pures et appliquees
)
Material voids in elastic solids with anisotropic surface energies
(2011)
G. Leoni
-
D. Spector
(
Journal of Functional Analysis
)
Characterization of Sobolev and BV spaces
(2011)
M. Chermisi
-
G. Dal Maso
-
I. Fonseca
-
G. Leoni
(
Indiana University Mathematics Journal
)
Singular perturbation models in phase transitions for second order materials
(2011)
G. Dal Maso
-
I. Fonseca
-
G. Leoni
(
Adv. Cal. Var.
)
Nonlocal character of the reduced theory of thin films with higher order perturbations
(2010)
I. Fonseca
-
G. Leoni
-
F. Maggi
-
M. Morini
(
Ann. Inst. H. Poincaré Anal. Non Linéaire
)
Exact reconstruction of damaged color images using a total variation model
(2010)
A. Garroni
-
G. Leoni
-
M. Ponsiglione
(
J. Eur. Math. Soc.
)
Gradient theory for plasticity via homogenization of discrete dislocations
(2010)
G. Leoni
(Book:
Graduate Studies in Mathematics, American Mathematical Society
)
A First Course in Sobolev Spaces
(2009)
G. Dal Maso
-
I. Fonseca
-
G. Leoni
-
M. Morini
(
SIAM J. Math. Anal.
)
A higher order model for image restoration: the one dimensional case
(2009)
I. Fonseca
-
N. Fusco
-
G. Leoni
-
M. Morini
(
Arch. Ration. Mech. Anal.
)
Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results
(2007)
G. Leoni
-
M. Morini
(
J. Eur. Math. Soc. (JEMS)
)
Necessary and sufficient conditions for the chain rule in $W_{loc}^{1,1}(R^N;R^d)$ and $BV_{loc}(R^N;R^d)$
(2007)
I. Fonseca
-
G. Leoni
(Book:
Springer Monographs in Mathematics
)
Modern Methods in the Calculus of Variations: $L^p$ Spaces
(2007)
I. Fonseca
-
G. Leoni
- R. Paroni (
Commun. Contemp. Math.
)
On Hessian Matrices in the Space $BH$
(2005)
I. Fonseca
-
G. Leoni
-
J. Malý
(
Arch. Ration. Mech. Anal.
)
Weak continuity and lower semicontinuity results for determinants
(2005)
H. Koch -
G. Leoni
-
M. Morini
(
Communications on Pure and Applied Mathematics
)
On optimal regularity of free boundary problems and a conjecture of De Giorgi
(2005)
P. Cermelli -
G. Leoni
(
SIAM J. Math. Anal.
)
Energy and Forces on Dislocations
(2005)
G. Dal Maso
-
I. Fonseca
-
G. Leoni
-
M. Morini
(
Archive Rational Mech. Anal.
)
Higher Order Quasiconvexity Reduces to Quasiconvexity
(2004)
V. De Cicco
-
G. Leoni
(
Calc. Var. Partial Differential Equations
)
A chain rule in $L^1(div;A)$ and its applications to lower semicontinuity
(2004)
I. Fonseca
-
G. Leoni
- S. Mueller (
Ann. Inst. H. Poincaré Anal. Non Linéaire
)
$A$-quasiconvexity: weak convergence and the gap
(2004)
I. Fonseca
-
G. Leoni
- R. Paroni (
Calc. Var. Partial Differential Equations
)
On lower semicontinuity in $BH^p$ and 2-quasiconvexification
(2003)
G. Leoni
-
M. Morini
(
J. Math. Pures Appl.
)
Some Remarks on the Analyticity of Minimizers of Free Discontinuity Problems
(2003)
S. Conti
-
I. Fonseca
-
G. Leoni
(
Comm. Pure Appl. Math.
)
A $\Gamma$-convergence result for the two-gradient theory of phase transitions
(2002)
P. Cermelli -
G. Leoni
(
Archive Rational Mech. and Anal.
)
Interfacial energies for incoherent inclusions
(2001)
Seminars:
7 jul 2014:
Epitaxial growth of thin films
Speaker:
16 may 2022 - 20 may 2022:
Beyond Elasticity: Advances and Research Challenges
27 jan 2020 - 1 feb 2020:
Calculus of Variations and Applications (on the occasion of Gianni Dal Maso's birthday)
1 jul 2019 - 5 jul 2019:
Calculus of Variations on Schiermonnikoog 2019
7 sep 2015 - 8 sep 2015:
Conference on Calculus of Variations, PDE, and Geometric Measure Theory
30 jun 2014 - 5 jul 2014:
Existence and Regularity for Nonlinear Sytems of Partial Differential Equations
Organizer:
20 jun 2022 - 24 jun 2022:
Variational Challenges in Materials Science and Imaging
16 may 2016 - 20 may 2016:
Workshop "New Challenges for the Calculus of Variations Stemming From Problems in the Materials Sciences and Image Processing" In Honour of the 60th Birthday of Irene Fonseca
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