erc-logo

Analytic Techniques for
Geometric and Functional Inequalities

ERC Advanced Grant: Analytic Techniques for Geometric and Functional Inequalities—Principal Investigator: Professor Nicola Fusco

Below the list of the papers produced from 1-1-2009 to 30-6-2011 by the members of the team.

  1. E. Acerbi, N. Fusco & M. Morini, Minimality via second variation for a nonlocal isoperimetric problem, submitted (2011) preprint version
  2. R. Alicandro, M. Cicalese & A. Gloria, Integral representation results for energies defined on stochastic lattices and application to nonlinear elasticity, Arch. Rat. Mech. Anal. 200, (2011), 881-942 preprint version
  3. R. Alicandro, M. Cicalese & M. Ponsiglione, Variational equivalence between Ginzburg-Landau, XY spin systems and screw dislocation energies, Indiana Univ. Math. J., to appear preprint version
  4. R. Alicandro, M. Cicalese & L. Sigalotti, Phase transitions in presence of surfactant: from discrete to continuum, Interfaces and free boundaries, to appear preprint version
  5. M. Amar, V. De Cicco & N. Fusco, Lower semicontinuity results for free discontinuity energies, Math. Models Methods Appl. Sci. 20, (2010), 707-730 preprint version
  6. P.F. Antonietti & A. Pratelli, Finite element approximation of Sobolev constant, Numer. Math. 117, (2011), 37-64 preprint version
  7. M. Barchiesi, F. Cagnetti & N. Fusco, Stability of the Steiner symmetrization of convex sets, submitted (2011) preprint version
  8. M. Beiglbšck & A. Pratelli, Duality for rectified Cost Functions, Calc. Var. and PDE, to appear preprint version
  9. L. Brasco, A survey on dynamical transport distances, submitted (2010) preprint version
  10. L. Brasco, Global $L^\infty$ gradient estimates for solutions to a certain degenerate elliptic equation, Nonlinear Anal. 74, (2011), 516-531 preprint version
  11. L. Brasco, G. Buttazzo & F. Santambrogio, A Benamou-Brenier approach to branched transport, SIAM J. Math. Anal. 43, (2011), 1023-1040 preprint version
  12. L. Brasco, R. Magnanini & P. Salani, The location of the hot spot in a grounded convex conductor, Indiana Univ. Math. J., to appear preprint version
  13. L. Brasco & A. Pratelli, Sharp stability for some spectral inequalities, submitted (2010) preprint version
  14. D. Breit, B. Stroffolini & A. Verde, A general regularity theorem for functionals with $\varphi$-growth, J. Math. Anal. Appl. 383, (2011), 226-233 preprint version
  15. M. Carozza, A. Passarelli di Napoli, T. Schmidt & A. Verde, Local and asymptotic regularity results for quasiconvex and quasimonotone problems, Quart. J. Math., (2010), 1-28 preprint version
  16. A. Cianchi, N. Fusco, F. Maggi & A. Pratelli, On the isoperimetric deficit in the Gauss space, American J. of Math., 133 (2011), 131-186 preprint version
  17. M. Cicalese & G.P. Leonardi, A selection principle for the sharp quantitative isoperimetric inequality, submitted (2010) preprint version
  18. M. Cicalese & G.P. Leonardi, Best constants for the isoperimetric inequality in quantitative form, submitted (2010) preprint version
  19. M. Cicalese, Y. Nagase & G. Pisante, The Gibbs-Thomson relation for non homogeneous anisotropic phase transitions, Adv. Calc. Var. 3, (2010), 32--344 preprint version
  20. M. Cicalese, E.N. Spadaro & C.I. Zeppieri, Asymptotic analysis of a second-order singular perturbation model for phase transitions, Calc. Var. and PDE 41,(2011), 127-150 preprint version
  21. S. Daneri & A. Pratelli, Smooth approximation of bi-Lipschitz orientation-preserving homeomorphisms, submitted (2011) preprint version
  22. V. De Cicco, C. Leone & A. Verde, Lower semicontinuity in SBV for integrals with variable growth, SIAM J. Math. Anal. 42 (2010), 3112-3128 preprint version
  23. A. Figalli & F. Maggi, On the Shape of Liquid Drops and Crystals in the Small Mass Regime, Arch. for Rat. Mech. and Anal. 201, (2011), 143-207 preprint version
  24. A. Figalli, F. Maggi & A. Pratelli, A refined Brunn-Minkowski inequality for convex sets, Ann. Inst. H. PoincarŽ Anal. Non LinŽaire 26, (2009), 2511-2519 preprint version
  25. A. Figalli, F. Maggi & A. Pratelli, A geometric approach to correlation inequalities in the plane, submitted (2011) preprint version
  26. I. Fonseca, N. Fusco, G. Leoni & V. Millot, Material voids in elastic solids with anisoptropic surface energies, J. Math. Pures et Appl., to appear preprint version
  27. I.Fonseca, N. Fusco, G.Leoni & M.Morini, Motion of elastic thin films by anisoptropic surface diffusion with curvature regularization, submitted (2011) preprint version
  28. I. Fonseca, G. Leoni, F. Maggi & M. Morini, Exact reconstruction of damaged color images using a total variation model, Ann. Inst. H. PoincarŽ Anal. Non LinŽaire 27, (2010), 1291-1311 preprint version
  29. N. Fusco, Equilibrium configurations of epitaxially strained thin films, Rend. Lincei Mat. Appl. 21, (2010), 341-348 preprint version
  30. N. Fusco, F. Maggi & A. Pratelli, On the isoperimetric problem with respect to a mixed euclidean-gaussian density, J. Funct. Anal. 260, (2011), 3678--3717 preprint version
  31. N. Fusco, V. Millot & M. Morini, A quantitative isoperimetric inequality for fractional perimeters, J. Funct. Anal. 261, (2011), 697-715 preprint version
  32. N. Fusco & M. Morini, Equilibrium configurations of epitaxially strained elastic films: second order minimality conditions and qualitative properties of solutions, Arch. for Rat. Mech. and Anal., to appear preprint version
  33. N. Fusco & M. Morini,, Equilibrium configurations of epitaxially strained elastic films: existence, regularity, and qualitative properties of solutions, Proceedings ICM 2010, to appear preprint version
  34. N. Fusco & A. Pratelli, On a conjecture by Auerbach, J. Eur. Math. Soc., to appear preprint version
  35. V. Julin & P. Juutinen, A new proof for the equivalence of weak and viscosity solutions for the p-Laplace equation, submitted (2011) preprint version
  36. D. Krejcirik & A. Pratelli, The Cheeger constant of curved strips, submitted (2010) preprint version
  37. C. Leone, M. Misawa & A. Verde, Existence for the evolution of non constant mean curvature surfaces in higher dimension, submitted (2011) preprint version
  38. F. Maggi , M. Ponsiglione & A. Pratelli, Quantitative stability in the isodiametric inequality via the isoperimetric inequality, submitted (2010) preprint version
  39. A. Verde, Lower semicontinuity of variational integrals on elliptic complexes, Studia Math., to appear preprint version
  40. A. Verde, Lower semicontinuity in SBV for functionals with non-standard growth, submitted (2011) preprint version