University of Parma

Department of Mathematics and Computer Science

 

Home page of Emilio Acerbi

Didattica

Personal vitae

List of publications

Books






Personal vitae
Born 1955 in Milan.
He studied mathematics at the Scuola Normale Superiore of Pisa under the direction of Prof. Sergio Spagnolo and the late Prof. De Giorgi, a world-class expert in mathematical analysis.
After receiving his degree in 1978 and being junior lecturer for some time, he became full professor at the Polytechnic of Turin in 1987; since 1990 he works at the School of Engineering of the University of Parma.
His studies concern the calculus of variations (for non-specialists, this is a branch of mathematical analysis), and especially (numbers refer to the list of papers)



List of publications
You may download many papers as pdf files, under the usual rules (personal use only, you do not violate any copyright etc.); for some of the older ones, this may not correspond to the actual printed article, as only the TeX file of the preprint was available. Due to some recent mishaps, I also include the following: if you want to publish a paper under your own name, please do not copy any part of my papers, but use your brain instead.

  1. E. Acerbi: Convergence of second order elliptic operators in complete form, Boll. Un. Mat. Ital. B (5) 18 (1981), 539—555.

  2. E. Acerbi, N. Fusco: An introduction to quasiconvexity, Matematiche (Catania) 36 (1981), 123—125.

  3. E. Acerbi, G. Buttazzo, N. Fusco: Semicontinuity in L for polyconvex integrals, Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur. (8) 72 (1982), 25—28.

  4. E. Acerbi, G. Buttazzo, N. Fusco: Semicontinuity and relaxation for integrals depending on vector valued functions, J. Math. Pures Appl. 62 (1983), 371—387.

  5. E. Acerbi, G. Buttazzo: On the limits of periodic Riemannian metrics, J. Analyse Math. 43 (1983/84), 183—201.

  6. E. Acerbi, N. Fusco: Semicontinuity problems in the calculus of variations, Arch. Rational Mech. Anal. 86 (1984), 125—145. pdf

  7. E. Acerbi, G. Buttazzo: Semicontinuous envelopes of polyconvex integrals, Proc. Roy. Soc. Edinburgh Sect. A 96 (1984), 51—54.

  8. E. Acerbi, G. Buttazzo: Limit problems for plates surrounded by soft material, Arch. Rational Mech. Anal. 92 (1986), 355—370. pdf

  9. E. Acerbi, G. Buttazzo: Reinforcement problems in the calculus of variations. Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1986), 273—284. pdf

  10. E. Acerbi, N. Fusco: A regularity theorem for minimizers of quasiconvex integrals, Arch. Rational Mech. Anal. 99 (1987), 261—281. pdf

  11. E. Acerbi, G. Buttazzo, D. Percivale: Thin inclusions in linear elasticity: a variational approach, J. Reine Angew. Math. 386 (1988), 99—115. pdf

  12. E. Acerbi, Limit problems for some linear and nonlinear systems, Istit. Lombardo Accad. Sci. Lett. Rend. A 122 (1988), 381—390. pdf

  13. E. Acerbi, D. Percivale: Homogenization of noncoercive functionals: periodic materials with soft inclusions, Appl. Math. Optim. 17 (1988), no. 2, 91—102. pdf

  14. E. Acerbi, N. Fusco: An approximation lemma for W1,p functions, Material instabilities in continuum mechanics (Edinburgh, 1985—1986), J.M. Ball (ed.), 1—5, Oxford Sci. Publ., Oxford Univ. Press, New York, 1988. pdf

  15. E. Acerbi: Homogenization and periodic structures with holes, Material instabilities in continuum mechanics (Edinburgh, 1985—1986), J.M. Ball (ed.), 7—9, Oxford Sci. Publ., Oxford Univ. Press, New York, 1988. pdf

  16. E. Acerbi, N. Fusco: Regularity of minimizers of non-quadratic functionals: the case 1<p<2, J. Math. Anal. Appl. 140 (1989), 115—135. pdf

  17. E. Acerbi, N. Fusco: Local regularity for minimizers of nonconvex integrals, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 (1989), 603—636. pdf

  18. E. Acerbi, G. Buttazzo, D. Percivale: A variational definition of the strain energy for an elastic string, J. Elasticity 25 (1991), 137—148. pdf

  19. E. Acerbi, D. Percivale: Reinforcement of plates in Hencky's plasticity, Comm. Partial Differential Equations 17 (1992), 2127—2136. pdf

  20. E. Acerbi, V. Chiadò Piat, G. Dal Maso, D. Percivale: An extension theorem from connected sets, and homogenization in general periodic domains, Nonlinear Anal. 18 (1992), 481—496.

  21. E. Acerbi, N. Fusco: Partial regularity under anisotropic (p,q) growth conditions, J. Differential Equations 107 (1994), 46—67. pdf

  22. E. Acerbi, N. Fusco: A transmission problem in the calculus of variations, Calc. Var. Partial Differential Equations 2 (1994), 1—16. pdf

  23. E. Acerbi, G. Dal Maso: New lower semicontinuity results for polyconvex integrals, Calc. Var. Partial Differential Equations 2 (1994), 329—372.pdf

  24. E. Acerbi, I. Fonseca, N. Fusco: Regularity results for equilibria in a variational model for fracture, Proc. Roy. Soc. Edinburgh Sect. A 127 (1997), 889—902. pdf

  25. E. Acerbi, I. Fonseca, N. Fusco: Regularity of minimizers for a class of membrane energies, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 25 (1997), 11—25. pdf

  26. E. Acerbi, A. Braides: Approximation of free-discontinuity problems by elliptic functionals via G-convergence, Asymptot. Anal. 21 (1999), 317—329. pdf

  27. E. Acerbi, G. Mingione: Functionals with p(x) growth and regularity, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl. 11 (2000), 169—174. pdf

  28. E. Acerbi, G. Mingione: Regularity results for a class of functionals with nonstandard growth, Arch. Rational Mech. Anal. 156 (2001), 121—140. pdf

  29. E. Acerbi, G. Mingione: Regularity results for a class of quasiconvex functionals with nonstandard growth, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 30 (2001), 311—340. pdf

  30. E. Acerbi, G. Buttazzo, F. Prinari: The class of functionals which can be represented by a supremum, J. Convex Anal. 9 (2002), 225—236. pdf

  31. E. Acerbi, G. Mingione: Regularity results for electrorheological fluids: the stationary case, Comptes Rendus Acad. Sci. Paris Sér. I 334 (2002), 817—822. pdf

  32. E. Acerbi, G. Mingione: Regularity results for stationary electrorheological fluids, Arch. Rational Mech. Anal. 164 (2002), 213—259. pdf

  33. E. Acerbi, G. Bouchitté, I. Fonseca: Relaxation of convex functionals: the gap problem, Ann. Inst. H. Poincaré Anal. Non Linéaire 20 (2003), 359—390. pdf

  34. E. Acerbi: A model for mixtures of micromagnetic materials allowing existence and regularity, Progr. Nonlinear Differential Equations Appl. 35 (2002), 1—8, Birkhäuser, Basel. pdf

  35. E. Acerbi, G. Mingione, G.A. Seregin: Regularity results for parabolic systems related to a class of Non Newtonian fluids, Ann. Inst. H. Poincaré Anal. Non Linéaire 21 (2004), 25—60. pdf

  36. E. Acerbi, G. Mingione: Gradient estimates for the p(x)-Laplacean system, J. Reine Angew. Math. 584 (2005), 117—148. pdf

  37. E. Acerbi, I. Fonseca, G. Mingione: Existence and regularity for mixtures of micromagnetic materials, Proc. Roy. Soc. London (A) 462 (2006), 2225—2243. pdf

  38. E. Acerbi, G. Mingione: Gradient estimates for a class of parabolic problems, Duke Math. J. 136 (2007), 285—320. pdf

  39. E. Acerbi, G. Bouchitté: A general class of phase transition models with weighted interface energy, Ann. Inst. H. Poincaré Anal. Non Linéaire 25 (2008), 1111—1143. pdf

  40. E. Acerbi, G. Crippa, D. Mucci: A variational problem for couples of functions and multifunctions with interaction between leaves, ESAIM Control Optim. Calc. Var. 18 (2012), 1178—1206. pdf

  41. E. Acerbi, N. Fusco, M. Morini: Minimality via second variation for a nonlocal isoperimetric problem, Comm. Math. Phys. 322 (2013), 515—557. pdf

  42. E. Acerbi, D. Mucci: Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation, Ann. Inst. H. Poincaré Anal. Non Linéaire 31 (2014), 1015—1034. pdf

  43. E. Acerbi, D. Mucci: Curvature-dependent energies: a geometric and analytical approach, preprint



List of books

  1. E. Acerbi et al.: I problemi di matematica della Scuola Normale, Boringhieri, Torino (1984).

  2. E. Acerbi, L. Modica, S. Spagnolo: Problemi scelti di analisi matematica 1, Liguori, Napoli (1985).

  3. E. Acerbi, L. Modica, S. Spagnolo: Problemi scelti di analisi matematica 2, Liguori, Napoli (1986).

  4. E. Acerbi, G. Buttazzo: Primo corso di analisi matematica, Pitagora, Bologna (1997).

  5. E. Acerbi, G. Buttazzo: Matematica preuniversitaria di base, Pitagora, Bologna (2003).

  6. E. Acerbi, G. Buttazzo: Analisi matematica ABC vol.1, Pitagora, Bologna (2003).

  7. E. Acerbi, G. Gianlupi: Superiamo l'esame di matematica, Mondadori, Milano (2012).

  8. E. Acerbi: Esami di analisi matematica 1, Pitagora, Bologna (2012).

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