G. Dal Maso, I. Fonseca, G. Leoni, Analytical validation of a continuum model for epitaxial growth with elasticity on vicinal surfaces, Arch. Rational Mech. Anal. 212 (2014) 1037 – 1064.
G. Leoni, A remark on the compactness for the Cahn-Hilliard functional, ESAIM: Control, Optimization and Calculus of Variations 20 (2014)
517 – 523.
I. Fonseca and G. Leoni, Calculus of variations, "The Princeton Companion to Applied Mathematics.", Princeton University Press, 2015.
I. Fonseca, N. Fusco, G. Leoni, and M. Morini, Motion of three-dimensional elastic films by anisotropic surface diffusion with curvature regularization. Anal. PDE 8 (2015), no. 2, 373-423.
T. Blass, I. Fonseca, G. Leoni, and M. Morandotti, Dynamics for systems of screw dislocations. SIAM J. Appl. Math. 75 (2015), no. 2, 393--419.
I. Fonseca, G. Leoni, X. Y. Lu, Regularity for weak solutions of a continuum model for epitaxial growth with elasticity on vicinal surfaces. To appear in Comm. Partial Differential Equations.
G. Dal Maso, I. Fonseca, G. Leoni , Second order asymptotic development for the anisotropic Cahn-Hilliard functional. To appear in Calc. Var. Partial Differential Equations.
G. Leoni and R. Murray, Second-order Γ-limit for the Cahn--Hilliard functional. To appear in Arch. Rational Mech. Anal.
For more publications, please go to:
I. Fonseca and G. Leoni, Modern Methods in the Calculus of Variations: Lp Spaces, Springer Monographs in Mathematics. Springer, New York, 2007.
G. Leoni, A First Course in Sobolev Spaces, Graduate Studies in Mathematics. 105. Providence, RI: American Mathematical Society (AMS), 2009.
I. Fonseca and G. Leoni, Modern Methods in the Calculus of Variations: Sobolev Spaces, in preparation, accepted for publication by Springer.