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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/803/'>Daneri</a>, <a href='/seminar/794/'>Frank</a>, <a href='/seminar/798/'>Vazquez</a></p>
<p><b>New papers by:</b> <a href='/person/3044/' >Perales</a>, <a href='/person/965/' >Mondino</a>, <a >Bołbotowski</a>, <a >Ruszkowski</a>, <a >Koenig</a>, <a href='/person/2217/' >Marconi</a>, <a >Frank</a>, <a href='/person/173/' >Kovarik</a>, <a href='/person/2737/' >Pankrashkin</a>, <a href='/person/52/' >Bouchitté</a>, <a href='/person/3157/' >Mukoseeva</a>, <a href='/person/1526/' >Ros-Oton</a>, <a >Weidl</a>, <a href='/person/2808/' >Carbotti</a>, <a href='/person/186/' >Figalli</a>, <a >Pinchover</a>, <a >Serra</a>, <a >Mondello</a></p>
<p><b>Modified papers by:</b> <a >Maor</a>, <a href='/person/2145/'>Tewodrose</a>, <a >Honda</a>, <a href='/person/150/'>Franzina</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/2591/'>Fässler</a>, <a href='/person/42/'>Morandotti</a>, <a href='/person/1644/'>Almi</a>, <a href='/person/141/'>Pinamonti</a>, <a href='/person/3502/'>Bulanyi</a>, <a href='/person/2450/'>De Ponti</a>, <a href='/person/3/'>Ambrosio</a>, <a >Portegies</a>, <a href='/person/174/'>Mora</a>, <a href='/person/22/'>De Philippis</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/250/'>Lemenant</a>, <a href='/person/2719/'>Semola</a>, <a href='/person/965/'>Mondino</a></p>
<h2>Seminars next week</h2>
<h3>Tue 20 April 2021</h3><ul>
<li><p>
Please write to Andrea.pinamonti@unitn.it or to Andrea.marchese@unitn.it if you want to attend the seminar.<br /> Sara Daneri (GSSI, L'Aquila): <b><a href='/seminar/803/'>Symmetry breaking and pattern formation for local/nonlocal interaction functionals</a></b><br />
Zoom seminar, 14:30<br /> </p>
<div style="font-size: smaller;"><p>In this talk I will review some recent results obtained in collaboration with E. Runa and A. Kerschbaum on the one-dimensionality of the minimizers
of a family of continuous local<i>nonlocal interaction functionals in general dimension. Such functionals have a local term, typically a perimeter term or its Modica-Mortola approximation, which penalizes interfaces, and a nonlocal term favouring oscillations which are high in frequency and in amplitude. The competition between the two terms is expected by experiments and simulations to give rise to periodic patterns at equilibrium. Functionals of this type are used to model pattern formation, either in material science or in biology. One of the main difficulties in proving the emergence of such regular structures, together with nonlocality, is due to the fact that the functionals retain more symmetries (in this case symmetry with respect to permutation of coordinates) than the minimizers. We will present new techniques and results showing that for two classes of functionals (used to model generalized anti-ferromagnetic systems, respectively colloidal suspensions), both in sharp interface and in diffuse interface models, minimizers are (in general dimension) one-dimensional and periodic. In the discrete setting such results had been previously obtained for a smaller set of functionals with a different approach by Giuliani and Seiringer.</i></p>
</div> </li>
</ul>
<h3>Wed 21 April 2021</h3><ul>
<li><p>
The public link will be available on Wednesday 21/04<br /> Rupert L. Frank: <b><a href='/seminar/794/'>From the liquid drop model for nuclei to the ionization conjecture for atoms</a></b><br />
Dipartimento di Matematica di Pisa online, 17:00<br /> </p>
<div style="font-size: smaller;"><p>The liquid drop model is an isoperimetric problem with a competing non-local term. It was originally introduced in the nuclear physics literature in 1930 and has received a lot of attention recently as an interesting problem in the calculus of variations. We discuss some new results and open problems. We show how the insights from this problem allowed us to prove the ionization conjecture in a certain model for an atom in density functional theory.</p>
</div> </li>
</ul>
<h3>Thu 22 April 2021</h3><ul>
<li><p>
password=lisbonwade<br /> Juan Luis Vazquez: <b><a href='/seminar/798/'>TBA</a></b><br />
WADE (Webinar in Analysis and Differential Equations) - Rome time, 15:00<br /> </li>
</ul>
<h2>New Papers</h2>
<p><b> Figalli, Ros-Oton, Serra:</b> <a href='/paper/5082/'>The singular set in the Stefan problem</a></p>
<p><b> Bołbotowski, Bouchitté:</b> <a href='/paper/5083/'>Optimal design versus maximal Monge-Kantorovich metrics</a></p>
<p><b> Mondello, Mondino, Perales:</b> <a href='/paper/5084/'>An upper bound on the revised first Betti number and a torus stability result for RCD spaces</a></p>
<p><b> Marconi:</b> <a href='/paper/5085/'>Characterization of minimizers of Aviles-Giga functionals on special domains</a></p>
<p><b> Mukoseeva:</b> <a href='/paper/5086/'>Second variation techniques for stability in geometric inequalities</a></p>
<p><b> Carbotti:</b> <a href='/paper/5087/'>Approximation properties of solutions to fractional equations, Riemann-Liouville fractional Sobolev spaces and a variational problem in Carnot Groups.</a></p>
<p><b> Kovarik, Pankrashkin:</b> <a href='/paper/5088/'>On the p-Laplacian with Robin boundary conditions and boundary trace theorems</a></p>
<p><b> Kovarik, Weidl, Ruszkowski:</b> <a href='/paper/5089/'>Melas-type bounds for the Heisenberg Laplacian on bounded domains</a></p>
<p><b> Kovarik, Pankrashkin:</b> <a href='/paper/5090/'>Robin eigenvalues on domains with peaks</a></p>
<p><b> Kovarik, Pinchover:</b> <a href='/paper/5091/'>On minimal decay at infinity of Hardy-weights</a></p>
<p><b> Frank, Koenig, Kovarik:</b> <a href='/paper/5092/'>Energy asymptotics in the three-dimensional Brezis--Nirenberg problem</a></p>
<p><b> Frank, Koenig, Kovarik:</b> <a href='/paper/5093/'>Blow-up of solutions of critical elliptic equation in three dimensions</a></p>
<h2>Modified Papers</h2>
<p><b> Ambrosio, Tewodrose, Honda, Portegies:</b> <a href='/paper/4133/'>Embedding of $RCD^*(K,N)$ spaces in $L^2$ via eigenfunctions</a></p>
<p><b> Brasco, De Philippis, Franzina:</b> <a href='/paper/4519/'>Positive solutions to the sublinear Lane-Emden equation are isolated</a></p>
<p><b> Bulanyi, Lemenant:</b> <a href='/paper/4523/'>Regularity for the planar optimal $p$-compliance problem</a></p>
<p><b> Almi, Morandotti, Solombrino:</b> <a href='/paper/4669/'>A multi-step Lagrangian scheme for spatially inhomogeneous evolutionary games</a></p>
<p><b> Maor, Mora:</b> <a href='/paper/4795/'>Reference configurations vs. optimal rotations: a derivation of linear elasticity from finite elasticity for all traction forces</a></p>
<p><b> De Ponti, Mondino, Semola:</b> <a href='/paper/4800/'>The equality case in Cheeger's and Buser's inequalities on $ \mathsf{RCD}$ spaces</a></p>
<p><b> Tewodrose:</b> <a href='/paper/4896/'>Adimensional weighted Sobolev inequalities in PI spaces</a></p>
<p><b> Bulanyi:</b> <a href='/paper/4985/'>On the importance of the connectedness assumption in the statement of the optimal $p$-compliance problem</a></p>
<p><b> Fässler, Pinamonti:</b> <a href='/paper/5076/'>Loomis-Whitney inequalities in Heisenberg groups</a></p>
<h2>Open Positions</h2>
<p><a href="/position/562/">3 Posizioni di Ricercatore TD Tipo B - Mat/05 - Dipartimento di Matematica dell'Univ. di Napoli Federico II</a> (deadline: Thu 29 April 2021)</p>
<p><a href="/position/560/">Call for expression of interest in positions (Tenure Track, Associate Professor, Full Professor) at the Mathematics Department (University of Pisa)</a> (deadline: Fri 30 April 2021)</p>
<p><a href="/position/557/">PhD position in spectral theory of differential operators, Oldenburg</a> (deadline: Fri 7 May 2021)</p>
<p><a href="/position/561/">4 PhD Positions at Radboud University</a> (deadline: Fri 7 May 2021)</p>
<p><a href="/position/563/">Post doc position in Mathematical Analysis - 1+1 - Trento</a> (deadline: Thu 13 May 2021)</p>
<p><b>(new)</b> <a href="/position/565/">2 Postdoc and 1 PhD positions in Vienna</a> (deadline: Sat 15 May 2021)</p>
<p><b>(new)</b> <a href="/position/564/">Five PhD position at Roma Tor Vergata University</a> (deadline: Mon 17 May 2021)</p>
<p><b>(new)</b> <a href="/position/566/">Women in STEM Dissertation Award – IV Edizione</a> (deadline: Fri 4 June 2021)</p>
<p><a href="/position/551/">Recruitment of Shing-Tung Yau Center of Southeast University (SEU-Yau Center) Nanjing, China</a> (deadline: Fri 11 February 2022)</p>
<p><a href="/position/469/">Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China</a> (deadline: Fri 11 February 2022)</p>
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