Giovanni Leoni
[leoni]
Full Professor, Carnegie Mellon University
Email: giovanni AT andrew.cmu.edu
arxiv id: leoni_g_1
Available papers (48):
[plain text]- L. Kreutz - I. Fonseca - G. Leoni (Submitted Paper)
Second-Order Γ-Limit for the Cahn–Hilliard Functional with Dirichlet Boundary Conditions, I (2025) - L. Kreutz - I. Fonseca - G. Leoni (Submitted Paper)
Second-Order Γ-Limit for the Cahn–Hilliard Functional with Dirichlet Boundary Conditions, II (2025) - G. Leoni - D. Spector (preprint)
On the Trace of $\dot{W}_{a}^{m+1,1}(\mathbb{R}_{+}^{n+1})$ (2024) - G. Dal Maso - I. Fonseca - G. Leoni (preprint)
Motion of Islands of Elastic Thin Films in the Dewetting Regime (2024) - P. Guasoni - K. Larsen - G. Leoni (preprint)
Existence of an equilibrium with limited stock market participation and power utilities (2024) - 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. Leoni - I. Tice (preprint)
Traces for homogeneous Sobolev spaces in infinite strip-like domains (2018) - G. Gravina - G. Leoni (preprint)
Higher order Gamma-limits for singularly perturbed Dirichlet-Neumann problems (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:
- 8 sep 2025 - 12 sep 2025: Conference: Frontiers in Calculus of Variations and Applied Analysis
- 9 jun 2025 - 13 jun 2025: Summer School "Mathematical Analysis and Applications”
- 16 sep 2024 - 20 sep 2024: Frontiers of the Calculus of Variations: a Celebration of the Mathematics of Gianni Dal Maso
- 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