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<h2>cvgmt weekly bulletin</h2>
<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/908/'>Di Matteo</a></p>
<p><b>New papers by:</b> <a >Santos</a>, <a >Li</a>, <a href='/person/2323/' >Tavares</a>, <a href='/person/22/' >De Philippis</a>, <a >Tralli</a>, <a href='/person/3364/' >Nobili</a>, <a href='/person/3493/' >Tiberio</a>, <a href='/person/3502/' >Bulanyi</a>, <a href='/person/47/' >Bellettini</a>, <a href='/person/3250/' >Corni</a>, <a href='/person/3128/' >Goffi</a>, <a href='/person/3129/' >Elshorbagy</a>, <a href='/person/1219/' >Zwicknagl</a>, <a href='/person/1609/' >Lerario</a>, <a href='/person/1227/' >Rizzi</a>, <a href='/person/977/' >Mazzoleni</a>, <a href='/person/2899/' >Mukherjee</a>, <a href='/person/1753/' >De Rosa</a>, <a href='/person/93/' >Manfredi</a>, <a href='/person/228/' >Magnani</a>, <a href='/person/1126/' >Van Schaftingen</a>, <a href='/person/4716/' >Ginster</a>, <a href='/person/3823/' >Violo</a>, <a href='/person/4724/' >Pesic</a>, <a href='/person/1400/' >Scala</a></p>
<p><b>Modified papers by:</b> <a href='/person/1/'>Tortorelli</a>, <a href='/person/1668/'>Stuvard</a>, <a href='/person/4368/'>Piccinini</a>, <a href='/person/3986/'>Novack</a>, <a href='/person/24/'>Palatucci</a>, <a href='/person/166/'>Morini</a>, <a href='/person/44/'>Braides</a>, <a >Calvez</a>, <a >Poyato</a>, <a href='/person/58/'>De Lellis</a>, <a href='/person/62/'>Scardia</a>, <a href='/person/1217/'>Scilla</a>, <a href='/person/4807/'>Carducci</a>, <a href='/person/201/'>Santambrogio</a>, <a href='/person/76/'>Marchese</a>, <a href='/person/336/'>Velichkov</a>, <a href='/person/4823/'>Halavati</a>, <a href='/person/217/'>Fusco</a>, <a href='/person/2906/'>Riva</a>, <a href='/person/4960/'>Donnarumma</a>, <a >Hirsch</a>, <a >Temperini</a>, <a href='/person/2280/'>Zemas</a>, <a href='/person/1517/'>Spolaor</a>, <a href='/person/5230/'>Voglino</a>, <a href='/person/239/'>Maggi</a>, <a href='/person/112/'>Zeppieri</a>, <a href='/person/5231/'>Zanardini</a>, <a href='/person/117/'>Paolini</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/120/'>Solombrino</a>, <a href='/person/2169/'>Dweik</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/894/'>PDEs in Tenerife:from theory to applications</a></b><br />
Wed 2 October 2024 - Fri 4 October 2024<br />
La Laguna, Tenerife, Spain<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Thu 3 October 2024</h3><ul>
<li><p>
Gianmichele Di Matteo (Queen Mary University of London): <b><a href='/seminar/908/'>Higher dimensional Sacks-Uhlenbeck approximation</a></b><br />
SNS, Aula Mancini, 15:30<br />
</p>
<div style="font-size: smaller;"><p>In this talk, we will introduce a generalization of Sacks-Uhlenbeck’s existence
of harmonic 2-spheres result to higher dimensional domains, that is we construct non-trivial, regular, n-harmonic n-spheres in suitable target manifolds. The proof follows a similar perturbative argument, which in high dimensions leads to a degenerate and double-phase-type Euler-Lagrange system, making the uniform regularity needed to formalise the bubbling harder to achieve.
Then, we develop a refined neck-analysis leading to a quantization of the energy along the approximation, assuming a suitable Struwe-type entropy bound along a sequence of critical points. Finally, we combine these results to solve quite general min-max problems for the n-energy modulo bubbling.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Bulanyi, Van Schaftingen:</b> <a href='/paper/6791/'>Singular extension of critical Sobolev mappings under an exponential weak-type estimate</a></p>
<p><b> Bellettini, Elshorbagy, Scala:</b> <a href='/paper/6792/'>The $L^1$-relaxed area of the graph of the vortex map: optimal upper bound</a></p>
<p><b> Bellettini, Elshorbagy, Scala:</b> <a href='/paper/6793/'>The $L^1$-relaxed area of the graph of the vortex map: optimal lower bound</a></p>
<p><b> Bellettini, Elshorbagy, Scala:</b> <a href='/paper/6794/'>Relaxation of the area of the vortex map: a non-parametric Plateau problem for a catenoid containing a segment</a></p>
<p><b> Mazzoleni, Santos, Tavares:</b> <a href='/paper/6795/'>Free boundary regularity for a spectral optimal partition problem with volume and inclusion constraints</a></p>
<p><b> Lerario, Rizzi, Tiberio:</b> <a href='/paper/6796/'>Quantitative approximate definable choices</a></p>
<p><b> Nobili, Violo:</b> <a href='/paper/6797/'>Fine Pólya-Szegő rearrangement inequalities in metric spaces and
applications</a></p>
<p><b> De Philippis, De Rosa, Li:</b> <a href='/paper/6798/'>Existence and regularity of min-max anisotropic minimal hypersurfaces</a></p>
<p><b> Goffi, Tralli:</b> <a href='/paper/6799/'>Global geometric estimates for the heat equation via duality methods</a></p>
<p><b> Manfredi, Mukherjee:</b> <a href='/paper/6800/'>Comparison principles for degenerate sub-elliptic equations in non-divergence form</a></p>
<p><b> Ginster, Pesic, Zwicknagl:</b> <a href='/paper/6801/'>Nonlinear interpolation inequalities with fractional Sobolev norms and pattern formation in biomembranes</a></p>
<p><b> Corni, Magnani:</b> <a href='/paper/6802/'>Symmetry results for the area formula in homogeneous groups</a></p>
<h2>Modified Papers</h2>
<p><b> Riva, Scilla, Solombrino:</b> <a href='/paper/5254/'>The notions of Inertial Balanced Viscosity and Inertial Virtual Viscosity solution for rate-independent systems</a></p>
<p><b> Maggi, Novack:</b> <a href='/paper/5534/'>Isoperimetric residues and a mesoscale flatness criterion for hypersurfaces with bounded mean curvature</a></p>
<p><b> Calvez, Poyato, Santambrogio:</b> <a href='/paper/5920/'>Uniform contractivity of the Fisher infinitesimal model with strongly convex selection</a></p>
<p><b> Palatucci, Piccinini:</b> <a href='/paper/6009/'>Nonlinear fractional equations in the Heisenberg group</a></p>
<p><b> Dweik:</b> <a href='/paper/6033/'>The least gradient problem with Dirichlet and Neumann boundary conditions</a></p>
<p><b> Scardia, Zemas, Zeppieri:</b> <a href='/paper/6156/'>Homogenisation of nonlinear Dirichlet problems in randomly perforated domains under minimal assumptions on the size of perforations</a></p>
<p><b> Palatucci, Piccinini, Temperini:</b> <a href='/paper/6173/'>Struwe's Global Compactness and energy approximation of the critical Sobolev embedding in the Heisenberg group</a></p>
<p><b> De Lellis, Hirsch, Marchese, Spolaor, Stuvard:</b> <a href='/paper/6182/'>Excess decay for minimizing hypercurrents mod $2Q$</a></p>
<p><b> Halavati:</b> <a href='/paper/6237/'>Quantitative stability of Yang-Mills-Higgs instantons in two dimensions</a></p>
<p><b> Fusco, Maggi, Morini, Novack:</b> <a href='/paper/6259/'>Rigidity and large volume residues in exterior isoperimetry for convex sets</a></p>
<p><b> Novaga, Paolini, Tortorelli:</b> <a href='/paper/6331/'>Locally isoperimetric partitions</a></p>
<p><b> Braides, Voglino, Zanardini:</b> <a href='/paper/6569/'>Microstructures and anti-phase boundaries in long-range lattice systems</a></p>
<p><b> Donnarumma:</b> <a href='/paper/6638/'>$Γ$-convergence and stochastic homogenization of second order singular perturbation models for phase transitions</a></p>
<p><b> Carducci, Velichkov:</b> <a href='/paper/6790/'>An epiperimetric inequality for odd frequencies in the thin obstacle
problem</a></p>
<h2>Open Positions</h2>
<p><a href="/position/938/">Postdoc position in Analysis/PDE at UCLouvain, Belgium</a> (deadline: Mon 30 September 2024)</p>
<p><a href="/position/945/">One *Cat I* PhD Position - The Chinese University of Hong Kong, Shenzhen</a> (deadline: Mon 30 September 2024)</p>
<p><a href="/position/946/">4 post-doc positions at the Scuola Superiore Meridionale</a> (deadline: Tue 15 October 2024)</p>
<p><a href="/position/944/">ERC Postdoc position in sub-Riemannian geometry at SISSA, Trieste (Italy)</a> (deadline: Thu 31 October 2024)</p>
<p><a href="/position/942/">6 year research position in Lisbon</a> (deadline: Fri 29 November 2024)</p>
<p><a href="/position/949/">2 ERC Postdoc positions at Bocconi University, Milan</a> (deadline: Sat 30 November 2024)</p>
<p><a href="/position/951/">Assistant Professor at Bocconi University</a> (deadline: Sun 15 December 2024)</p>
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