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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)
the aspects concerning the mechanics of elastic solids (and fluids [28,29,32]), a field in which he obtained some widely known results ([6,9,10,17]),
some cases of energies possessing a bulk and a surface part, with links to image reconstruction and micromagnetic materials ([24,25,26,34]). Apart from giving lectures in scores of Universities, he visited (among others) the Carnegie Mellon University in Pittsburgh, the Loyola University in Chicago, the Max-Planck Institut für Mathematik in Leipzig, the Universidad Autonoma in Madrid, the Vladimir University in Vladimir (Russia), the Institut für Angewandte Mathematik and the SFB 256 of the Universität Bonn, the Academia Sinica in Taipei, the University of Toulon and Var.
Former Director of the Department of Mathematics, former Rector's Delegate for the interaction between High Schools and University, former head of the Evaluation Board of the University of Parma, in charge of a teaching enhancement program and a learning failure reduction program of the University of Parma.
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.
E. Acerbi: Convergence of second order elliptic operators in complete form, Boll. Un. Mat. Ital. B (5) 18 (1981), 539—555.
E. Acerbi, N. Fusco: An introduction to quasiconvexity, Matematiche (Catania) 36 (1981), 123—125.
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.
E. Acerbi, G. Buttazzo, N. Fusco: Semicontinuity and relaxation for integrals depending on vector valued functions, J. Math. Pures Appl. 62 (1983), 371—387.
E. Acerbi, G. Buttazzo: On the limits of periodic Riemannian metrics, J. Analyse Math. 43 (1983/84), 183—201. pdf
E. Acerbi, N. Fusco: Semicontinuity problems in the calculus of variations, Arch. Rational Mech. Anal. 86 (1984), 125—145. pdf
E. Acerbi, G. Buttazzo: Semicontinuous envelopes of polyconvex integrals, Proc. Roy. Soc. Edinburgh Sect. A 96 (1984), 51—54.
E. Acerbi, G. Buttazzo: Limit problems for plates surrounded by soft material, Arch. Rational Mech. Anal. 92 (1986), 355—370. pdf
E. Acerbi, G. Buttazzo: Reinforcement problems in the calculus of variations. Ann. Inst. H. Poincaré Anal. Non Linéaire 3 (1986), 273—284. pdf
E. Acerbi, N. Fusco: A regularity theorem for minimizers of quasiconvex integrals, Arch. Rational Mech. Anal. 99 (1987), 261—281. pdf
E. Acerbi, G. Buttazzo, D. Percivale: Thin inclusions in linear elasticity: a variational approach, J. Reine Angew. Math. 386 (1988), 99—115. pdf
E. Acerbi, Limit problems for some linear and nonlinear systems, Istit. Lombardo Accad. Sci. Lett. Rend. A 122 (1988), 381—390. pdf
E. Acerbi, D. Percivale: Homogenization of noncoercive functionals: periodic materials with soft inclusions, Appl. Math. Optim. 17 (1988), no. 2, 91—102. pdf
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
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
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
E. Acerbi, N. Fusco: Local regularity for minimizers of nonconvex integrals, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4) 16 (1989), 603—636. pdf
E. Acerbi, G. Buttazzo, D. Percivale: A variational definition of the strain energy for an elastic string, J. Elasticity 25 (1991), 137—148. pdf
E. Acerbi, D. Percivale: Reinforcement of plates in Hencky's plasticity, Comm. Partial Differential Equations 17 (1992), 2127—2136. pdf
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. pdf
E. Acerbi, N. Fusco: Partial regularity under anisotropic (p,q) growth conditions, J. Differential Equations 107 (1994), 46—67. pdf
E. Acerbi, N. Fusco: A transmission problem in the calculus of variations, Calc. Var. Partial Differential Equations 2 (1994), 1—16. pdf
E. Acerbi, G. Dal Maso: New lower semicontinuity results for polyconvex integrals, Calc. Var. Partial Differential Equations 2 (1994), 329—372.pdf
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
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
E. Acerbi, A. Braides: Approximation of free-discontinuity problems by elliptic functionals via G-convergence, Asymptot. Anal. 21 (1999), 317—329. pdf
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
E. Acerbi, G. Mingione: Regularity results for a class of functionals with nonstandard growth, Arch. Rational Mech. Anal. 156 (2001), 121—140. pdf
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
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
E. Acerbi, G. Mingione: Regularity results for electrorheological fluids: the stationary case, Comptes Rendus Acad. Sci. Paris Sér. I 334 (2002), 817—822. pdf
E. Acerbi, G. Mingione: Regularity results for stationary electrorheological fluids, Arch. Rational Mech. Anal. 164 (2002), 213—259. pdf
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
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
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
E. Acerbi, G. Mingione: Gradient estimates for the p(x)-Laplacean system, J. Reine Angew. Math. 584 (2005), 117—148. pdf
E. Acerbi, I. Fonseca, G. Mingione: Existence and regularity for mixtures of micromagnetic materials, Proc. Roy. Soc. London (A) 462 (2006), 2225—2243. pdf
E. Acerbi, G. Mingione: Gradient estimates for a class of parabolic problems, Duke Math. J. 136 (2007), 285—320. pdf
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
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
E. Acerbi, N. Fusco, M. Morini: Minimality via second variation for a nonlocal isoperimetric problem, Comm. Math. Phys. 322 (2013), 515—557. pdf
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
E. Acerbi, D. Mucci: Curvature-dependent energies: a geometric and analytical approach, Proc. Roy. Soc. Edinburgh 147A (2017), 449—503.
E. Acerbi, D. Mucci: Curvature-dependent energies: the elastic case, Nonlinear Anal. 153 (2017), 7—34. pdf
E. Acerbi, D. Mucci: Curvature-dependent energies, Milan J. Math. 85 (2017), 41—69. pdf
E. Acerbi, N. Fusco, V. Julin, M. Morini: Nonlinear stability results for the modified Mullins-Sekerka and the surface diffusion flow, J. Differential Geom . 113 (2019), 1—53. pdf
E. Acerbi, C.-N. Chen, Y.-S. Choi: Minimal lamellar structures in a periodic FitzHugh–Nagumo system, Nonlinear Anal. XX (2019), XX—XX.
E. Acerbi et al.: I problemi di matematica della Scuola Normale, Boringhieri, Torino (1984).
E. Acerbi, L. Modica, S. Spagnolo: Problemi scelti di analisi matematica 1, Liguori, Napoli (1985).
E. Acerbi, L. Modica, S. Spagnolo: Problemi scelti di analisi matematica 2, Liguori, Napoli (1986).
E. Acerbi, G. Buttazzo: Primo corso di analisi matematica, Pitagora, Bologna (1997).
E. Acerbi, G. Buttazzo: Matematica preuniversitaria di base, Pitagora, Bologna (2003).
E. Acerbi, G. Buttazzo: Analisi matematica ABC vol.1, Pitagora, Bologna (2003).
E. Acerbi, G. Gianlupi: Superiamo l'esame di matematica, Mondadori, Milano (2012).
E. Acerbi: Esami di analisi matematica 1, Pitagora, Bologna (2012).
E. Acerbi, G. Buttazzo: Analisi matematica ABC vol.2, Pitagora, Bologna (2015).
E. Acerbi, G. Buttazzo: Secondo corso di analisi matematica, Pitagora, Bologna (2016).
