Papers of Luigi De Pascale

1. Weak and strong density of compositions.(with E.Stepanov) Transactions of the American Mathematical Society. 352 (2000),3707-3721.
2. Limits of Inner Superposition Operators and Young's Measures. ZAA-The Journal for Analysis and its Applications. Volume 18 (1999), No.4.
3. Morse-Sard Theorem in Sobolev Spaces. Indiana University Mathematics Journal. vol. 50 n. 3 (2001), 1371-1387.
4. Topological equivalence of some variational problem associated to distances . (with G.Buttazzo and I.Fragalá) Discrete and Continuous Dynamical Systems. 7 (2001), no.2, 247-258
5. Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem.(with A.Pratelli) Calculus of Variations and Partial Differential Equations. Vol. 14 (2002) n.3, 249-274.
6. On a constrained shape optimization problem. Communications in Applied Analysis, vol. 7 n. 4 (2003).
7. Fixed points for some non obviously contractive operators. (with E.De Pascale).Proceedings of the American Mathematical Society. 130 (2002) no.11, 3249-3254.
8. A p-Laplacian approximation of some shape optimization problem.(with G.Buttazzo and G.Bouchitté) J.O.T.A. Journal of Optimization Theory and Applications, vol. 118 (2003) n.1 .
9. Homogenization of Dirichlet problems with convex bounded constraint on the gradient.(with T.Champion) ZAA-The Journal for Analysis and its Applications, Vol. 22 n. 3 (2003), 1-18
   
10. On the power law asymptotics for a model of dielectric breakdown.(with T. Champion) Homogenization 2001, Proceedings of the first HMS2000 international school and conference on homogenization, Napoli, june 18-27 2001, World Scientific Pub. (2003), 231-236
11. $\Gamma$-convergence and Absolute Minimizers for Supremal functionals. (with T.Champion and F.Prinari ) ESAIM Control, Optimization and Calculus of Variations, Vol. 10 (2004), 14-27
12. Integral Estimates for Transport Densities. (with L.C.Evans and A.Pratelli) Bulletin of the London Mathematical Society, Vol. 36 n.3 (2004), 383-395
    
13. Sharp summability for Monge Transport density via interpolation. (with A.Pratelli) ESAIM Control, Optimization and Calculus of Variations}, Vol.10 n.4 (2004), 549--552
14. Optimal shapes and masses, and optimal transportation problems. (with G.Buttazzo) Lecture Notes in Mathematics 1813, Optimal Transportation and Applications, Springer, Berlin (2003), 11-52
15. Minimal measures one-dimensional currents and the Monge-Kantorovich problem. (with M.S.Gelli and L.Granieri) To appear on: Calculus of Variations and Partial Differential Equations.
    
16. Principles of comparison with distance functions for absolute minimizers. (with T.Champion) To appear on: Journal of Convex Analysis.
    
    All the papers are electronicaly available upon request. (Some of them is also available on the preprint server CVGMT)

Short note, unpublished, in progress and other things:

• PhD Thesis
• A resumé of my PhD Thesis (in italian) will appear on the Bollettino dell' Unione Matematica Italiana. (There is a special number of the B .U.M.I. devoted to resume of PhD thesis)
• Degree-Laurea Thesis (in italian). The topic was: Sobolev spaces on metric spaces.