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<h1>CVGMT Weekly Bulletin</h1>
<h2>Summary</h2>
<p><b>Seminars by:</b> <a href='/seminar/307/'>Ciraolo</a></p>
<p><b>New papers by:</b> <a href='/person/9/' >Jimenez</a>, <a >Monti</a>, <a href='/person/127/' >Monti</a>, <a >Quincampoix</a>, <a href='/person/27/' >Cavalletti</a>, <a >Huesmann</a>, <a >Cardaliaguet</a></p>
<p><b>Modified papers by:</b> <a href='/person/3/'>Ambrosio</a>, <a >Pegon</a>, <a >Dipierro</a>, <a >Lesesvre</a>, <a href='/person/204/'>Dal Maso</a>, <a >Tyson</a>, <a href='/person/1084/'>Barilari</a>, <a href='/person/201/'>Santambrogio</a>, <a href='/person/210/'>Beck</a>, <a href='/person/148/'>Iurlano</a>, <a href='/person/638/'>Schmidt</a>, <a href='/person/1227/'>Rizzi</a>, <a >Valdinoci</a>, <a href='/person/24/'>Palatucci</a>, <a href='/person/186/'>Figalli</a>, <a href='/person/188/'>Stroffolini</a>, <a href='/person/30/'>Balogh</a>, <a href='/person/127/'>Monti</a></p>
<p><b>Open positions:</b> <a href='/position/57/'>3 year PhD Position in Muenster (Germany) </a>; <a href='/position/62/'>Post-doctoral position - France</a></p>
<h2>Seminars next week</h2>
<p><i>Wednesday 16 jan 2013</i></p>
<p>
time: 17:00<br />
Sala Seminari, Department of Mathematics, Pisa University<br/>
<b><a href='/seminar/307/'>Symmetry of minimizers with a level surface parallel to the boundary</a></b><br />
Giulio Ciraolo <br />
<b>Abstract.</b> <p>We consider minimizers of elliptic functionals satisfying homogeneous Dirichlet boundary conditions. We prove that if the minimizer has a level surface which is parallel to boundary, then it must be spherically symmetric. We then extend such result to positive solutions of a wide class of elliptic equations. A particular attention will be devoted to minimizers of non-differentiable functionals and to positive solutions of very degenerate elliptic equations, which are equations whose ellipticity constants degenerate at every point where the gradient belongs to some nontrivial convex set.</p>
<br />
<h2>New Papers</h2>
<p><b> Cavalletti, Huesmann:</b> <a href='/paper/2064/'>Existence and Uniqueness of optimal transport map</a></p>
<p><b> Cardaliaguet, Quincampoix, Jimenez:</b> <a href='/paper/2065/'>Pure and Random strategies in differential game with incomplete informations</a></p>
<p><b> Monti:</b> <a href='/paper/2066/'>Regularity results for sub-Riemannian geodesics</a></p>
<p><b> Monti:</b> <a href='/paper/2067/'>Lipschitz approximation of H-perimeter minimizing boundaries</a></p>
<p><b> Monti:</b> <a href='/paper/2068/'>A family of nonminimizing abnormal curves</a></p>
<p><b> Monti:</b> <a href='/paper/2069/'>The regularity problem for sub-Riemannian geodesics</a></p>
<p><b> Monti:</b> <a href='/paper/2070/'>Some properties of Carnot-Caratheodory balls in the Heisenberg group</a></p>
<h2>Modified Papers</h2>
<p><b> Dal Maso, Iurlano:</b> <a href='/paper/319/'>Fracture models as Gamma-limits of damage models</a></p>
<p><b> Balogh, Monti, Tyson:</b> <a href='/paper/339/'>Frequency of Sobolev and quasiconformal dimension distortion</a></p>
<p><b> Beck:</b> <a href='/paper/813/'>Boundary regularity results for variational integrals</a></p>
<p><b> Beck:</b> <a href='/paper/1243/'>Boundary regularity for elliptic systems under a natural growth condition</a></p>
<p><b> Monti:</b> <a href='/paper/1416/'>Rearrangements in metric spaces and in the Heisenberg group</a></p>
<p><b> Beck, Stroffolini:</b> <a href='/paper/1420/'>Regularity results for differential forms solving degenerate elliptic systems</a></p>
<p><b> Beck:</b> <a href='/paper/1599/'>Partial Hölder continuity for solutions of subquadratic elliptic systems in low dimensions</a></p>
<p><b> Iurlano:</b> <a href='/paper/1684/'>Fracture and plastic models as Gamma-limits of damage models under different regimes</a></p>
<p><b> Dal Maso:</b> <a href='/paper/1704/'>Generalised functions of bounded deformation</a></p>
<p><b> Ambrosio, Schmidt:</b> <a href='/paper/1762/'>Compactness results for normal currents and the Plateau problem in dual Banach spaces</a></p>
<p><b> Dipierro, Figalli, Palatucci, Valdinoci:</b> <a href='/paper/1817/'>Asymptotics of the $s$-perimeter as $s \searrow 0$</a></p>
<p><b> Lesesvre, Pegon, Santambrogio:</b> <a href='/paper/1975/'>Optimal transportation with an oscillation-type cost: the one-dimensional case</a></p>
<p><b> Barilari, Rizzi:</b> <a href='/paper/2023/'>A formula for Popp's volume in sub-Riemannian geometry</a></p>
<h2>Open Positions</h2>
<p> <a href="/position/57/">3 year PhD Position in Muenster (Germany) </a> (deadline: 31 Mar 2013) </p>
<p> <a href="/position/62/">Post-doctoral position - France</a> (deadline: 1 Apr 2013) </p>
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