\centerline*FIRST ANNOUNCEMENT OF THE SCHOOL ON*
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\centerline*CONCENTRATION PHENOMENA*
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\centerline*FOR VARIATIONAL PROBLEMS*

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\centerline{ ROMA, SEPTEMBER 1 - 5, 2003}
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*SPONSORS:* The school is co-sponsored by the GNAMPA-INdAM Project
``Homogenization techniques
and asymptotic methods for multiple-scale problems'' (co-ordinator: V.
Chiado' Piat) and by COFIN
2002 through the National Project ``Calcolo delle Variazioni'' (Rome Local
Unit co-ordinated by
A.Braides and Milano Politecnico Local Unit co-ordinated by F.Tomarelli).

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*ORGANIZATION:* GNAMPA-INdAM Project ``Homogenization techniques and
asymptotic methods for
multiple-scale problems'' (co-ordinator: V. Chiado' Piat) and the Rome
Local Unit of the National
Project ``Calcolo delle Variazioni'' (co-ordinator: A. Braides)

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*Lecturers and Courses: *
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G. ALBERTI (University of Pisa): Concentration phenomena for functionals
of Ginzburg-Landau type. A variational
approach.
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A. GARRONI (University of Roma La Sapienza): $\Gamma$-convergence for
concentration problems with
critical growth.
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D. SMETS (University Pierre et Marie Curie, Paris): Shape and evolution of
concentration sets in some Ginzburg-Landau type
equations.
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H. M. SONER (Koc University, Istanbul): Jacobian and the Ginzburg-Landau
energy.
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*Aim of the School *
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The aim of the School is mainly to provide an introductive presentation to
some concentration
phenomena arising in different situations, as variational and dynamical
problems related to the
Ginzburg-Landau functional, non-linear variational problems with critical
growth related to the
Sobolev inequality, free-boudary problems, as the so-called Bernoulli
problem, related to the
isoperimetric inequality for the capacity, and so on.

More generally, the School is part of the project ``Homogenization
techniques and asymptotic methods
for multiple-scale problems'', of G.N.A.M.P.A-INdAM. whose aim is to
analyze different techniques
involved in the interaction of phenomena of homogenization type with other
limit procedures as
dimension reduction (mathematical theories of plates and thin films), the
theory of phase
transitions, processes of discretization with applications both numerical
and theoretical (limits of
finite-difference schemes), limits of perforated domains (relaxed Dirichlet
problems), limits of
sets with strongly-oscillating boundaries.

In this respect, the scheduled lectures may shed some
light on the interaction of techniques that are typical of the Calculus of
Variations, like
$\Gamma$-convergence theory, with methods which are peculiar of Nonlinear
Analysis, as the
Concentration-compactness Alternative, and others.

The School is mainly thought for Ph D students or researchers in the area
of (applied) Analysis,
but no particular background is required.
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*Further informations* will be made available at the web page:
\smallskip\centerline*http://mat.uniroma2.it/ braides/0203/School/index.html*
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or contacting
\smallskip\centerline {A. Braides (braides@mat.uniroma2.it),\quad V.
Chiadò Piat
(valeria.chiadopiat@polito.it)}
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Interested people are requested to register by filling the form below and
sending it by e-mail to valeria.chiadopiat@polito.it .
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Limited funds are available to support the accomodation expences in a
guest-house, only in double room, provided the registration form is sent
before june 10, 2003.
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\centerline*R E G I S T R A T I O N\quad
F O R M*

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I want to share the room with\hbox to 10t
http://cvgmt.sns.it/event/6/