[leoni]

Giovanni Leoni

Full Professor, Carnegie Mellon University

Email: giovanni AT andrew.cmu.edu

Available papers (41):

• 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:

• 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:

• 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