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<h1>cvgmt weekly bulletin</h1>
<p><i>Weekly bulletin for <a href="http://cvgmt.sns.it">http://cvgmt.sns.it</a></i></p>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/684/'>Teichmann</a>, <a href='/seminar/685/'>Franzina</a></p>
<p><b>New papers by:</b> <a >Pass</a>, <a href='/person/1846/' >Nenna</a>, <a href='/person/168/' >Lussardi</a>, <a href='/person/44/' >Braides</a>, <a href='/person/2476/' >Tribuzio</a>, <a href='/person/51/' >Trebeschi</a>, <a href='/person/54/' >Giacomini</a>, <a href='/person/105/' >Bucur</a>, <a href='/person/1957/' >Fanzon</a></p>
<p><b>Modified papers by:</b> <a href='/person/1152/'>Di Marino</a>, <a href='/person/642/'>Squassina</a>, <a href='/person/260/'>Goldman</a>, <a href='/person/198/'>Brasco</a>, <a >Yang</a>, <a href='/person/199/'>Ponsiglione</a>, <a >Benamou</a>, <a >Runa</a>, <a href='/person/1949/'>Comi</a>, <a href='/person/1266/'>Zucco</a>, <a href='/person/2260/'>Stefani</a>, <a href='/person/1846/'>Nenna</a>, <a >Palombaro</a>, <a >Carlier</a>, <a href='/person/1957/'>Fanzon</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/538/'>Analysis and Applications. Contributions from young researchers</a></b><br />
Mon 8 April 2019 - Tue 9 April 2019<br />
Dipartimento di Scienze Matematiche, Politecnico di Torino<br /></p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Fri 5 April 2019</h3><ul>
<li><p>
Josef Teichmann: <b><a href='/seminar/684/'>H\"ormander conditions, transport equations and supervised learning.</a></b><br />
Aula Mancini, SNS, 11:00<br /> </p>
<div style="font-size: smaller;"><p>We consider certain approximation problems from machine learning as controllability questions for (stochastic) transport equations. H\"ormander conditions lead to new viewpoints on universal approximation theorems.</p>
</div> </li>
</ul>
<h3>Wed 10 April 2019</h3><ul>
<li><p>
Giovanni Franzina (INdAM - Università di Firenze): <b><a href='/seminar/685/'>Semilinear eigenvalue problems for the Dirichlet Laplacian</a></b><br />
Sala Seminari (Dipartimento di Matematica di Pisa), 17:00<br /> </p>
<div style="font-size: smaller;"><p>The talk overviews the qualitative properties of critical points and critical values
of Dirichlet integrals on open sets of $\mathbb R^N$, with homogeneous Dirichlet boundary conditions, subject to $L^q$ constraints
with $q$ ranging between $1$ and the Sobolev exponent $2N/(N-2)$. The associated eigenvalue-type problem is mildly non-local,
except in the case of Helmoltz equation ($q=2$). We discuss to which extent properties typical of the linear eigenvalues, such as
the simplicity of the first eigenvalue on connected sets, its isolation, and the discreteness of the spectrum, hold true
if either $q<2$ or $q>2$, presenting both some positive results and some counterexamples. This is a joint work with Lorenzo Brasco (Università di Ferrara)</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Lussardi:</b> <a href='/paper/4266/'>The Plateau problem in the Calculus of Variations</a></p>
<p><b> Braides, Tribuzio:</b> <a href='/paper/4267/'>Perturbed minimizing movements of families of functionals</a></p>
<p><b> Bucur, Giacomini, Trebeschi:</b> <a href='/paper/4268/'>$L^\infty$ bounds of Steklov eigenfunctions and spectrum stability under domain variation</a></p>
<p><b> Nenna, Pass:</b> <a href='/paper/4270/'>Variational problems involving unequal dimensional optimal transport</a></p>
<p><b> Fanzon:</b> <a href='/paper/4271/'>Geometric Patterns and Microstructures in the study of Material Defects and Composites</a></p>
<h2>Modified Papers</h2>
<p><b> Brasco, Squassina, Yang:</b> <a href='/paper/2959/'>Global compactness results for nonlocal problems</a></p>
<p><b> Goldman, Runa:</b> <a href='/paper/3236/'>On the optimality of stripes in a variational model with non-local interactions</a></p>
<p><b> Fanzon, Palombaro, Ponsiglione:</b> <a href='/paper/3872/'>Derivation of Linearised Polycrystals from a 2D system of edge dislocations</a></p>
<p><b> Benamou, Carlier, Di Marino, Nenna:</b> <a href='/paper/3981/'>An entropy minimization approach to second-order variational mean field games</a></p>
<p><b> Comi, Stefani:</b> <a href='/paper/4054/'>A distributional approach to fractional Sobolev spaces and fractional variation: existence of blow-up</a></p>
<p><b> Zucco:</b> <a href='/paper/4072/'>Dirichlet conditions in Poincaré-Sobolev inequalities: the sub-homogeneous case</a></p>
<h2>Open Positions</h2>
<p><b>(new)</b> <a href="/position/400/">PhD proposal: spectral geometry and shape optimization</a> (deadline: Thu 2 May 2019)</p>
<p><a href="/position/398/">PhD Position at the University of Sussex</a> (deadline: Fri 31 May 2019)</p>
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