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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/871/'>Bellettini</a></p>
<p><b>New papers by:</b> <a href='/person/3072/' >Di Donato</a>, <a >Correggi</a>, <a >Korolev</a>, <a >Roith</a>, <a >Ispizua</a>, <a >Figari</a>, <a >Negulescu</a>, <a >Licheri</a>, <a >González</a>, <a >Spadaro</a>, <a href='/person/150/' >Franzina</a>, <a href='/person/2207/' >Pasqualetto</a>, <a >Carron</a>, <a href='/person/1066/' >Burger</a>, <a >Crasta</a>, <a href='/person/2482/' >Lučić</a>, <a href='/person/58/' >De Lellis</a>, <a href='/person/2883/' >Antonelli</a>, <a href='/person/198/' >Brasco</a>, <a href='/person/199/' >Ponsiglione</a>, <a href='/person/1099/' >De Luca</a>, <a href='/person/3151/' >Bungert</a>, <a href='/person/89/' >De Cicco</a>, <a >Mondello</a>, <a href='/person/2145/' >Tewodrose</a>, <a href='/person/226/' >Gigli</a>, <a >Carlone</a>, <a href='/person/2919/' >Tentarelli</a>, <a href='/person/2169/' >Dweik</a>, <a href='/person/2687/' >Bruè</a></p>
<p><b>Modified papers by:</b> <a href='/person/135/'>Catino</a>, <a href='/person/263/'>Mantegazza</a>, <a >Chambolle</a>, <a href='/person/3720/'>Carazzato</a>, <a >Mastrolia</a>, <a href='/person/3471/'>Onoue</a>, <a >Griffin-Pickering</a>, <a href='/person/1304/'>Mészáros</a>, <a href='/person/151/'>Pratelli</a>, <a href='/person/1826/'>Pluda</a>, <a href='/person/3364/'>Nobili</a>, <a href='/person/1066/'>Burger</a>, <a >Monticelli</a>, <a >Punzo</a>, <a href='/person/2880/'>Merlo</a>, <a href='/person/2883/'>Antonelli</a>, <a >Müller</a>, <a href='/person/3151/'>Bungert</a>, <a >Carlone</a>, <a href='/person/2919/'>Tentarelli</a>, <a href='/person/3823/'>Violo</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/2553/'>Borrelli</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/614/'>Special session "Sub-Riemannian Geometry and Interactions", within the AMS-SMF-EMS Joint International Meeting in Grenoble, 2022</a></b><br />
Wed 20 July 2022 - Fri 22 July 2022<br />
Grenoble<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Wed 20 July 2022</h3><ul>
<li><p>
Agenda: Get-together (30 min), presentation Costante Bellettini (60 min), questions and discussions (30 min).
Registration required for new participants. Please go to our seminar website (allow one work day for processing).<br />
Costante Bellettini: <b><a href='/seminar/871/'>Hypersurfaces with prescribed-mean-curvature: existence and properties</a></b><br />
, 14:00<br />
</p>
<div style="font-size: smaller;"><p>Let $N$ be a compact Riemannian manifold of dimension 3 or higher, and $g$ a Lipschitz non-negative (or non-positive) function on $N$. In joint works with Neshan Wickramasekera we prove that there exists a closed hypersurface $M$ whose mean curvature attains the values prescribed by $g$. Except possibly for a small singular set (of codimension 7 or higher), the hypersurface $M$ is $C^2$ immersed and two-sided (it admits a global unit normal); the scalar mean curvature at $x$ is $g(x)$ with respect to a global choice of unit normal. More precisely, the immersion is a quasi-embedding, namely the only non-embedded points are caused by tangential self-intersections: around any such non-embedded point, the local structure is given by two disks, lying on one side of each other, and intersecting tangentially (as in the case of two spherical caps touching at a point). A special case of PMC (prescribed-mean-curvature) hypersurfaces is obtained when $g$ is a constant, in which the above result gives a CMC (constant-mean-curvature) hypersurface for any prescribed value of the mean curvature.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Bungert, Korolev:</b> <a href='/paper/5639/'>Eigenvalue Problems in $\mathrm{L}^\infty$: Optimality Conditions,
Duality, and Relations with Optimal Transport</a></p>
<p><b> Bungert:</b> <a href='/paper/5640/'>The inhomogeneous $p$-Laplacian equation with Neumann boundary
conditions in the limit $p\to\infty$</a></p>
<p><b> Roith, Bungert:</b> <a href='/paper/5641/'>Continuum Limit of Lipschitz Learning on Graphs</a></p>
<p><b> Bungert, Burger:</b> <a href='/paper/5642/'>Asymptotic Profiles of Nonlinear Homogeneous Evolution Equations of Gradient Flow Type</a></p>
<p><b> Brasco, González, Ispizua:</b> <a href='/paper/5643/'>A Steklov version of the torsional rigidity</a></p>
<p><b> Carlone, Figari, Negulescu, Tentarelli:</b> <a href='/paper/5645/'>Solvable models of quantum beating</a></p>
<p><b> Carlone, Correggi, Tentarelli:</b> <a href='/paper/5646/'>An introduction to the two-dimensional Schrödinger equation with nonlinear point interactions</a></p>
<p><b> Dweik:</b> <a href='/paper/5647/'>Optimal region for the transport problem to the boundary</a></p>
<p><b> De Luca, Ponsiglione, Spadaro:</b> <a href='/paper/5648/'>Two slope functions minimizing fractional seminorms and applications to misfit dislocations</a></p>
<p><b> Antonelli:</b> <a href='/paper/5649/'>Rectifiability in Carnot groups</a></p>
<p><b> Di Donato:</b> <a href='/paper/5650/'>The intrinsic Hopf-Lax semigroup vs. The intrinsic slope</a></p>
<p><b> Gigli, Lučić, Pasqualetto:</b> <a href='/paper/5651/'>Duals and pullbacks of normed modules</a></p>
<p><b> Carron, Mondello, Tewodrose:</b> <a href='/paper/5652/'>Limits of manifolds with a Kato bound on the Ricci curvature. II.</a></p>
<p><b> Carron, Mondello, Tewodrose:</b> <a href='/paper/5653/'>Stability of the Betti number under Kato bounds on the Ricci curvature</a></p>
<p><b> Franzina, Licheri:</b> <a href='/paper/5654/'>A non-local semilinear eigenvalue problem</a></p>
<p><b> Bruè, De Lellis:</b> <a href='/paper/5655/'>Anomalous dissipation for the forced 3D Navier-Stokes equations</a></p>
<p><b> De Cicco, Crasta:</b> <a href='/paper/5656/'>On the variational nature of the Anzellotti pairing</a></p>
<h2>Modified Papers</h2>
<p><b> Mantegazza, Müller:</b> <a href='/paper/1842/'>Perelman's Entropy Functional at Type I Singularities of the Ricci Flow</a></p>
<p><b> Catino, Mastrolia, Monticelli, Punzo:</b> <a href='/paper/4075/'>Four dimensional closed manifolds admit a weak harmonic Weyl metric</a></p>
<p><b> Bungert, Burger, Chambolle, Novaga:</b> <a href='/paper/4199/'>Nonlinear Spectral Decompositions by Gradient Flows of One-Homogeneous Functionals</a></p>
<p><b> Antonelli, Merlo:</b> <a href='/paper/4835/'>On rectifiable measures in Carnot groups: existence of density</a></p>
<p><b> Mantegazza, Novaga, Pluda:</b> <a href='/paper/5081/'>Type-0 singularities in the network flow - Evolution of trees</a></p>
<p><b> Nobili, Violo:</b> <a href='/paper/5221/'>Rigidity and almost rigidity of Sobolev inequalities on compact spaces with lower Ricci curvature bounds</a></p>
<p><b> Borrelli, Carlone, Tentarelli:</b> <a href='/paper/5230/'>Complete ionization for a non-autonomous point interaction model in d=2</a></p>
<p><b> Griffin-Pickering, Mészáros:</b> <a href='/paper/5372/'>A variational approach to first order kinetic mean field games with local couplings</a></p>
<p><b> Novaga, Onoue:</b> <a href='/paper/5403/'>Existence of minimizers for a generalized liquid drop model with fractional perimeter</a></p>
<p><b> Pratelli, Carazzato:</b> <a href='/paper/5561/'>On the existence and boundedness of minimizing measures for a general form of non-local energies</a></p>
<h2>Open Positions</h2>
<p><a href="/position/685/">RTDA Universita' di Bologna</a> (deadline: Tue 19 July 2022)</p>
<p><b>(new)</b> <a href="/position/691/">Assegno di ricerca in Analisi Matematica presso Sapienza Università di Roma</a> (deadline: Wed 20 July 2022)</p>
<p><a href="/position/683/">Ph.D. positions at the Universities of Ferrara, Parma, Modena & Reggio-Emilia</a> (deadline: Mon 25 July 2022)</p>
<p><a href="/position/655/">Positions for Ukrainian researchers in Austria</a> (deadline: Sun 31 July 2022)</p>
<p><a href="/position/687/">PA MAT/05, riservato a esterni dipartimento di matematica unipi</a> (deadline: Mon 1 August 2022)</p>
<p><a href="/position/688/">4 years PhD position at TU Wien (Vienna, Austria)</a> (deadline: Thu 11 August 2022)</p>
<p><a href="/position/684/">7 PhD positions in "Mathematical and Physical Sciences for Advanced Materials and Technologies" at the SSM of Napoli</a> (deadline: Wed 24 August 2022)</p>
<p><a href="/position/686/">2-year postdoc position Institute of Information Theory and Automation, Czech Acad. Sci</a> (deadline: Wed 31 August 2022)</p>
<p><b>(new)</b> <a href="/position/690/">Research Associate at the University of Bath</a> (deadline: Wed 31 August 2022)</p>
<p><a href="/position/682/">PhD position funded by the Italian national Doctoral program in Autonomous Systems (DAUSY)</a> (deadline: Mon 5 September 2022)</p>
<p><b>(new)</b> <a href="/position/689/">Tenure-Track Assistant Professor in Mathematical Analysis - Bocconi University, Milan</a> (deadline: Sun 11 September 2022)</p>
<p><a href="/position/672/">PhD Positions in the field Nonlinear PDEs (Analysis or Numerics) Graduate School IntComSin Erlangen-Regensburg</a> (deadline: Wed 30 November 2022)</p>
<p><a href="/position/597/">Research project on Optimal Transportation</a> (deadline: Sat 31 December 2022)</p>
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