Personal vitae Born 1955 in Milan, married, three young sons (ages 8,10,13).
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 recently 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, in charge of
a teaching enhancement program of the School of Engineering, Rector's
Delegate for the interaction between High Schools and University.
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.
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.
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 multifunctions with interaction between leaves, to appear (2009).
