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<h1>CVGMT Weekly Bulletin</h1>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/440/'>Malchiodi</a>, <a href='/seminar/441/'>Novaga</a></p>
<p><b>New papers by:</b> <a >Ribeiro</a>, <a href='/person/3/' >Ambrosio</a>, <a href='/person/230/' >Zappale</a>, <a href='/person/141/' >Pinamonti</a>, <a href='/person/1326/' >Speight</a>, <a href='/person/239/' >Maggi</a>, <a >Carita</a>, <a href='/person/22/' >De Philippis</a></p>
<p><b>Modified papers by:</b> <a href='/person/262/'>Buttazzo</a>, <a href='/person/260/'>Goldman</a>, <a href='/person/198/'>Brasco</a>, <a >Royo-Letelier</a>, <a href='/person/973/'>Ruffini</a>, <a href='/person/239/'>Maggi</a>, <a >Millot</a>, <a href='/person/210/'>Beck</a>, <a href='/person/22/'>De Philippis</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/217/'>Fusco</a>, <a href='/person/186/'>Figalli</a>, <a href='/person/61/'>Louet</a>, <a href='/person/638/'>Schmidt</a>, <a href='/person/166/'>Morini</a></p>
<p><b>Open positions:</b> <a href='/position/115/'>PostDoc Position at University of Kassel, Germany</a>; <a href='/position/112/'>Postdoctoral position at U Penn in applied mathematics</a>; <a href='/position/113/'>Postdoc positions in Münster (Applied and Numerical Analysis)</a>; <a href='/position/114/'>Independent Junior Research Group Leader in Münster</a>; <a href='/position/116/'>Postdoctoral Fellowship at University of Texas at Austin</a></p>
<h2>Seminars next week</h2>
<p><i>Friday 18 jul 2014</i></p>
<p>
time: 10:00<br /> Scuola Normale Superiore, Aula Bianchi<br/>
<b><a href='/seminar/440/'>A variational approach to Liouville equations</a></b><br />
Andrea Malchiodi ((SISSA-Trieste)<br />
<b>Abstract.</b> <p>We consider Liouville equations with variational structure arising from curvature
prescription problems and from models in Electroweak or Chern-Simons theory.
We show how improved versions of the Moser-Trudinger inequality may reduce
these PDEs to the study of finite-dimensional topological spaces. We then derive
existence of solutions via min-max or Morse theory. </p>
<br /> <p>
time: 11:30<br /> Scuola Normale Superiore, Aula Bianchi<br/>
<b><a href='/seminar/441/'>Geometric evolutions with obstacles</a></b><br />
Matteo Novaga (Dip. Mat. Univ. Pisa)<br />
<b>Abstract.</b> <p>I will discuss existence and regularity results for geometric evolutions in the presence of obstacles. More precisely, I will present some recent results for the mean curvature flow, and some open problems for the Willmore flow. </p>
<br />
<h2>New Papers</h2>
<p><b> Ambrosio, Pinamonti, Speight:</b> <a href='/paper/2480/'>Tensorization of Cheeger energies, the space $H^{1,1}$ and the area formula for graphs</a></p>
<p><b> Ribeiro, Zappale:</b> <a href='/paper/2481/'>Existence of minimizers for non-level convex supremal functionals</a></p>
<p><b> Carita, Zappale:</b> <a href='/paper/2482/'>Relaxation for an optimal design problem with linear growth and perimeter penalization</a></p>
<p><b> De Philippis, Maggi:</b> <a href='/paper/2483/'>Dimensional estimates for singular sets in geometric variational problems with free boundaries</a></p>
<h2>Modified Papers</h2>
<p><b> De Philippis, Figalli:</b> <a href='/paper/1926/'>Partial regularity for optimal transport maps</a></p>
<p><b> Beck, Schmidt:</b> <a href='/paper/2138/'>Convex duality and uniqueness for $\rm BV$ minimizers</a></p>
<p><b> Goldman, Novaga, Ruffini:</b> <a href='/paper/2267/'>Existence and stability for a non-local isoperimetric model of charged liquid drops</a></p>
<p><b> Goldman, Royo-Letelier:</b> <a href='/paper/2330/'>Sharp interface limit for two components Bose-Einstein condensates</a></p>
<p><b> Brasco, Buttazzo:</b> <a href='/paper/2373/'>Improved energy bounds for Schrödinger operators</a></p>
<p><b> Figalli, Fusco, Maggi, Millot, Morini:</b> <a href='/paper/2380/'>Isoperimetry and stability properties of balls with respect to nonlocal energies</a></p>
<p><b> Figalli:</b> <a href='/paper/2476/'>Stability results for the Brunn-Minkowski inequality</a></p>
<p><b> Louet:</b> <a href='/paper/2479/'>Optimal transport problems with gradient penalization</a></p>
<h2>Open Positions</h2>
<p> <a href="/position/115/">PostDoc Position at University of Kassel, Germany</a> (deadline: 25 Jul 2014) </p>
<p> <a href="/position/112/">Postdoctoral position at U Penn in applied mathematics</a> (deadline: 1 Aug 2014) </p>
<p> <a href="/position/113/">Postdoc positions in Münster (Applied and Numerical Analysis)</a> (deadline: 15 Aug 2014) </p>
<p> <a href="/position/114/">Independent Junior Research Group Leader in Münster</a> (deadline: 17 Aug 2014) </p>
<p> <a href="/position/116/">Postdoctoral Fellowship at University of Texas at Austin</a> (deadline: 31 Oct 2014) </p>
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