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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/968/'>Lewicka</a>, <a href='/seminar/969/'>Verzellesi</a></p>
<p><b>New papers by:</b> <a href='/person/2169/' >Dweik</a>, <a href='/person/226/' >Gigli</a>, <a >Schulz</a>, <a href='/person/1217/' >Scilla</a>, <a href='/person/227/' >Verde</a>, <a href='/person/76/' >Marchese</a>, <a href='/person/5997/' >Krukowski</a>, <a >Guglielmi</a>, <a href='/person/3823/' >Violo</a>, <a href='/person/3279/' >Maiale</a>, <a href='/person/3633/' >Grande</a>, <a >Leone</a>, <a >Trofimova</a>, <a >Marconi</a>, <a href='/person/1753/' >De Rosa</a>, <a href='/person/120/' >Solombrino</a>, <a href='/person/2237/' >Pigati</a>, <a href='/person/2591/' >Fässler</a></p>
<p><b>Modified papers by:</b> <a href='/person/262/'>Buttazzo</a>, <a >Idu</a>, <a >Guerra</a>, <a href='/person/4877/'>Fissore</a>, <a >Lamy</a>, <a href='/person/2591/'>Fässler</a>, <a href='/person/42/'>Morandotti</a>, <a >Guglielmi</a>, <a href='/person/4916/'>Quattrocchi</a>, <a href='/person/3901/'>Portinale</a>, <a href='/person/3279/'>Maiale</a>, <a href='/person/336/'>Velichkov</a>, <a href='/person/977/'>Mazzoleni</a>, <a href='/person/3035/'>Caputo</a>, <a href='/person/4834/'>Monina</a>, <a href='/person/228/'>Magnani</a>, <a href='/person/2280/'>Zemas</a>, <a href='/person/3823/'>Violo</a>, <a href='/person/1394/'>Cristoferi</a>, <a href='/person/1269/'>Gerolin</a>, <a href='/person/2680/'>Tortone</a>, <a href='/person/2169/'>Dweik</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/1065/'>Structures and Phenomena in Modern Analysis</a></b><br />
Mon 15 December 2025 - Wed 17 December 2025<br />
Napoli<br />
</p></li>
<li><p>
<b><a href='/event/1069/'>1° Workshop of young Analysts in Rome.</a></b><br />
Wed 17 December 2025 - Fri 19 December 2025<br />
IAC-CNR Rome<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Tue 16 December 2025</h3><ul>
<li><p>
Marta Lewicka: <b><a href='/seminar/968/'>Flexibility of the isometric immersion system and the Monge-Ampere system for metrics with low Hölder regularity</a></b><br />
Scuola Normale Superiore, Aula Bianchi Scienze, 11:30<br />
</p>
<div style="font-size: smaller;"><p>We present convex integration - type results on the existence and multiplicity of solutions to the isometric immersion system and the closely related Monge-Ampère system (which is an extension of the 2d Monge-Ampère equation arising from the prescribed curvature problem). In particular, we sketch the proof of our most recent result in this context, stating that for any 2d metric $g\in C^{r,\beta}$, an isometric immersion into $R^4$, of regularity $C^{1,\alpha}$ for any $\alpha < \min {1, (r+\beta)/2}$, may be found arbitrarily close to any short immersion.</p>
</div>
</li>
</ul>
<h3>Wed 17 December 2025</h3><ul>
<li><p>
Simone Verzellesi (Università di Padova): <b><a href='/seminar/969/'>Variational properties of the total inverse mean curvature in the plane under boundary constraints</a></b><br />
Aula Fermi, Scuola Normale Superiore, 14:30<br />
</p>
<div style="font-size: smaller;"><p>In the Euclidean space, Aleksandrov's theorem asserts that smooth, closed, constant mean curvature hypersurfaces are round spheres. An effective proof of this result is provided by the characterization of the equality case in the so-called Heintze-Karcher inequality, which is the relevant geometric inequality associated with the minimization of the total inverse mean curvature under a volume constraint. We show that the symmetry between Aleksandrov's theorem and the Heintze-Karcher inequality breaks down when boundary conditions are imposed. Precisely, we deal with the variational behavior of the total inverse mean curvature for smooth curves in the half-plane, prescribing both the enclosed volume and a boundary condition. We characterize the existence of equilibrium configurations, and we discuss various notions of stability. As an application, we establish a local minimization property. This talk is based on a joint work with J. Pozuelo and G. Vianello.</p>
</div>
</li>
</ul>
<h2>New Papers</h2>
<p><b> Schulz, Violo:</b> <a href='/paper/7426/'>Regularity for quasilinear elliptic equations in metric measure spaces</a></p>
<p><b> Fässler, Violo:</b> <a href='/paper/7427/'>On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part 2</a></p>
<p><b> Violo:</b> <a href='/paper/7428/'>An overview of regularity results for the Laplacian and $p$-Laplacian in metric spaces</a></p>
<p><b> Krukowski, Marchese:</b> <a href='/paper/7429/'>On the lower semicontinuity of the Lagrangian $H$-mass</a></p>
<p><b> Grande:</b> <a href='/paper/7430/'>Existence of Solutions for Systems of Self-Referred Equations with Integral Boundary Conditions</a></p>
<p><b> Maiale, Trofimova, Guglielmi:</b> <a href='/paper/7431/'>Probabilistic Analysis of the Random Spectral Radius for a Matrix Family</a></p>
<p><b> De Rosa, Pigati:</b> <a href='/paper/7432/'>Anisotropic min-max via phase transitions</a></p>
<p><b> Dweik:</b> <a href='/paper/7433/'>Least gradient problem with nonhomogeneous term</a></p>
<p><b> Gigli:</b> <a href='/paper/7434/'>Hyperbolic Banach spaces</a></p>
<p><b> Gigli, Marconi:</b> <a href='/paper/7435/'>A general splitting principle on RCD spaces and applications to spaces with positive spectrum</a></p>
<p><b> Gigli:</b> <a href='/paper/7436/'>De Giorgi and Gromov working together</a></p>
<p><b> Leone, Scilla, Solombrino, Verde:</b> <a href='/paper/7437/'>Lipschitz regularity of almost-minimizers in two-phase free boundary problems with generalized Orlicz growth</a></p>
<h2>Modified Papers</h2>
<p><b> Buttazzo, Maiale:</b> <a href='/paper/4738/'>Optimal one-dimensional structures for the principal eigenvalue of two-dimensional domains</a></p>
<p><b> Buttazzo, Maiale:</b> <a href='/paper/4768/'>Shape optimization problems for functionals with a boundary integral</a></p>
<p><b> Idu, Magnani, Maiale:</b> <a href='/paper/4813/'>Characterizations of $k$-rectifiability in homogenous groups</a></p>
<p><b> Buttazzo, Maiale, Velichkov:</b> <a href='/paper/5129/'>Shape optimization problems in control form</a></p>
<p><b> Buttazzo, Maiale, Mazzoleni, Tortone, Velichkov:</b> <a href='/paper/5836/'>Regularity of the optimal sets for a class of integral shape functionals</a></p>
<p><b> Violo:</b> <a href='/paper/6085/'>Fat triangles inscribed in arbitrary planar domains</a></p>
<p><b> Fässler, Violo:</b> <a href='/paper/6246/'>On various Carleson-type geometric lemmas and uniform rectifiability in metric spaces: Part I</a></p>
<p><b> Portinale, Quattrocchi:</b> <a href='/paper/6305/'>Discrete-to-continuum limits of optimal transport with linear growth on periodic graphs</a></p>
<p><b> Quattrocchi:</b> <a href='/paper/6478/'>Variational structures for the Fokker--Planck equation with general Dirichlet boundary conditions</a></p>
<p><b> Caputo, Gerolin, Monina, Portinale:</b> <a href='/paper/6762/'>Quantum optimal transport with convex regularization</a></p>
<p><b> Guglielmi, Maiale:</b> <a href='/paper/6803/'>Gripenberg-like algorithm for the lower spectral radius</a></p>
<p><b> Cristoferi, Fissore, Morandotti:</b> <a href='/paper/6882/'>Geometrically constrained walls in three dimensions</a></p>
<p><b> Dweik:</b> <a href='/paper/7080/'>On the regularity of the solution and the free boundary in a weighted $p-$Laplacian problem</a></p>
<p><b> Guerra, Lamy, Zemas:</b> <a href='/paper/7188/'>Global minimality of the Hopf map in the Faddeev-Skyrme model with large coupling constant</a></p>
<h2>Open Positions</h2>
<p><a href="/position/1068/">Postdoctoral Research Fellowship at Warwick and BCAM Bilbao</a> (deadline: Mon 15 December 2025)</p>
<p><a href="/position/1069/">Posizione di Ricercatore RTT - MATH-03/A - Analisi Matematica - Dipartimento di Matematica dell'Univ. di Napoli Federico II</a> (deadline: Mon 15 December 2025)</p>
<p><a href="/position/1050/">2 postdoctoral positions in GMT - Institute of Mathematics of the Polish Academy of Sciences, Warsaw</a> (deadline: Tue 16 December 2025)</p>
<p><a href="/position/1051/">Analysis of Nonlinear PDE in Fluid Dynamics</a> (deadline: Sun 21 December 2025)</p>
<p><a href="/position/1072/">3 postdoctoral research positions in GMT / Geometric Analysis at the University of Milan</a> (deadline: Mon 22 December 2025)</p>
<p><a href="/position/1057/">Two postdoctoral positions in Partial Differential Equations at Uppsala University</a> (deadline: Wed 31 December 2025)</p>
<p><a href="/position/1066/">Postdoc position (2+2 years) National Taiwan Normal University</a> (deadline: Tue 6 January 2026)</p>
<p><a href="/position/1062/">Postdoc positions project SingMeas in Trento</a> (deadline: Wed 7 January 2026)</p>
<p><b>(new)</b> <a href="/position/1075/">RTT - MATH-03/A- Department of Mathematics of the University of Trento</a> (deadline: Thu 8 January 2026)</p>
<p><a href="/position/1064/">Post-doctoral position (2 years) at Vrije Universiteit Brussel, Belgium</a> (deadline: Fri 9 January 2026)</p>
<p><a href="/position/1067/">PhD position in Applied Analysis at KU Eichstätt-Ingolstadt</a> (deadline: Fri 9 January 2026)</p>
<p><a href="/position/1073/">Lecturer/Assistant Professor at University College Dublin</a> (deadline: Fri 9 January 2026)</p>
<p><a href="/position/1042/">Postdoc position in Nancy</a> (deadline: Sat 10 January 2026)</p>
<p><a href="/position/1070/">Assistant/Associate Professor in Mathematics (Probabillity / Mathematical Foundations of Data Science) in Jyväskylä</a> (deadline: Mon 12 January 2026)</p>
<p><b>(new)</b> <a href="/position/1074/">10 PhD Positions at Gran Sasso Science Institute in "Mathematics in Natural, Social and Life Sciences".</a> (deadline: Tue 13 January 2026)</p>
<p><a href="/position/1065/">PhD Position VADOR group, TU Wien</a> (deadline: Fri 30 January 2026)</p>
<p><a href="/position/1061/">PhD Positions - Mathematics and Applications - Bocconi University</a> (deadline: Thu 5 February 2026)</p>
<p><a href="/position/1056/">PhD position in Geometric Analysis, University of Vienna</a> (deadline: Sat 28 February 2026)</p>
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