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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/754/'>Susanna </a></p>
<p><b>New papers by:</b> <a href='/person/1830/' >Friedrich</a>, <a >Dipierro</a>, <a href='/person/3471/' >Onoue</a>, <a href='/person/245/' >Focardi</a>, <a >Valdinoci</a>, <a href='/person/120/' >Solombrino</a>, <a href='/person/2553/' >Borrelli</a>, <a href='/person/58/' >De Lellis</a>, <a >Ghinassi</a>, <a href='/person/3178/' >Perugini</a></p>
<p><b>Modified papers by:</b> <a >Chambolle</a>, <a href='/person/194/'>Stefanelli</a>, <a href='/person/2831/'>Kreisbeck</a>, <a >Takasao</a>, <a href='/person/2068/'>Carioni</a>, <a href='/person/1949/'>Comi</a>, <a href='/person/1957/'>Fanzon</a>, <a href='/person/168/'>Lussardi</a>, <a >Romero</a>, <a >Kruzik</a>, <a >Bredies</a>, <a >Grandi</a>, <a href='/person/973/'>Ruffini</a>, <a href='/person/974/'>Farroni</a>, <a href='/person/1933/'>Pagliardini</a>, <a href='/person/977/'>Mazzoleni</a>, <a href='/person/3471/'>Onoue</a>, <a href='/person/102/'>Mainini</a>, <a href='/person/230/'>Zappale</a>, <a >Giga</a>, <a href='/person/373/'>Malchiodi</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/2808/'>Carbotti</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/618/'>2020 Fields Medal Symposium</a></b><br />
Mon 19 October 2020 - Fri 23 October 2020<br />
</p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Wed 21 October 2020</h3><ul>
<li><p>
Terracini Susanna : <b><a href='/seminar/754/'>Liouville type theorems and local behaviour of solutions to degenerate or singular problems</a></b><br />
online, 18:00<br /> </p>
<div style="font-size: smaller;"><p>We consider an equation in divergence form with a singular<i>degenerate weight \[
-\mathrm{div}(<br>y<br>^a A(x,y)\nabla u)=<br>y<br>^a f(x,y,u)\; \quad\textrm{or}\; \textrm{div}(<br>y<br>^aF(x,y,u))\;,
\]
We first study the regularity of the nodal sets of solutions in the linear case. Next, when the r.h.s. does not depend on $u$, under suitable regularity assumptions for the matrix $A$ and $f$ (resp. $F$) we prove H\"older continuity of solutions and possibly of their derivatives up to order two or more (Schauder estimates). In addition, we show stability of the $C^{0,\alpha}$ and $C^{1,\alpha}$ a priori bounds for approximating problems in the form
\[
-\mathrm{div}((\varepsilon^2+y^2)^a A(x,y)\nabla u)=(\varepsilon^2+y^2)^a f(x,y)\; \quad\textrm{or}\; \textrm{div}((\varepsilon^2+y^2)^aF(x,y))
\]
as $\varepsilon\to 0$. Finally, we derive $C^{0,\alpha}$ and $C^{1,\alpha}$ bounds for inhomogenous Neumann boundary problems as well. Our method is based upon blow-up and appropriate Liouville type theorems.
</p>
<p>In order to join the seminar, please fill in the form below before October 20th. Further information and instructions will be sent afterwards to the online audience</i></p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Dipierro, Onoue, Valdinoci:</b> <a href='/paper/4846/'>(Dis)connectedness of nonlocal minimal surfaces in a cylinder and a stickiness property</a></p>
<p><b> Borrelli:</b> <a href='/paper/4847/'>Symmetric solutions for a 2D critical Dirac equation</a></p>
<p><b> De Lellis, Focardi, Ghinassi:</b> <a href='/paper/4849/'>Endpoint regularity for 2d Mumford-Shah minimizers: On a theorem of Andersson and Mikayelyan</a></p>
<p><b> Friedrich, Perugini, Solombrino:</b> <a href='/paper/4850/'>$Γ$-convergence for free-discontinuity problems in linear
elasticity: Homogenization and relaxation</a></p>
<h2>Modified Papers</h2>
<p><b> Malchiodi, Novaga, Pagliardini:</b> <a href='/paper/3762/'>On critical points of the relative fractional perimeter</a></p>
<p><b> Kreisbeck, Zappale:</b> <a href='/paper/4306/'>Lower semicontinuity and relaxation of nonlocal $L^\infty$-functionals</a></p>
<p><b> Bredies, Carioni, Fanzon, Romero:</b> <a href='/paper/4405/'>On the extremal points of the ball of the Benamou-Brenier energy</a></p>
<p><b> Kreisbeck, Zappale:</b> <a href='/paper/4412/'>Loss of double-integral character during relaxation</a></p>
<p><b> Farroni:</b> <a href='/paper/4451/'>Asymptotic stability estimates for some evolution problems with singular convection fiels</a></p>
<p><b> Lussardi:</b> <a href='/paper/4472/'>The Canham-Helfrich model for the elasticity of biomembranes as a limit of mesoscopic energies</a></p>
<p><b> Onoue:</b> <a href='/paper/4486/'>Nonexistence of Minimizers for a Nonlocal Perimeter Functional with a Riesz and a Background Potential</a></p>
<p><b> Giga, Onoue, Takasao:</b> <a href='/paper/4487/'>A varifold formulation of mean curvature ow with Dirichlet or dynamic boundary conditions</a></p>
<p><b> Carbotti, Comi:</b> <a href='/paper/4616/'>A note on Riemann-Liouville fractional Sobolev spaces</a></p>
<p><b> Chambolle, Novaga:</b> <a href='/paper/4620/'>Anisotropic and crystalline mean curvature flow of mean-convex sets</a></p>
<p><b> Grandi, Kruzik, Mainini, Stefanelli:</b> <a href='/paper/4665/'>Equilibrium for multiphase solids with Eulerian interfaces</a></p>
<p><b> Mazzoleni, Ruffini:</b> <a href='/paper/4808/'>A spectral shape optimization problem with a nonlocal competing term</a></p>
<h2>Open Positions</h2>
<p><a href="/position/511/">One 2-year postdoc position in Rome</a> (deadline: Sun 18 October 2020)</p>
<p><b>(new)</b> <a href="/position/517/">Assegno di ricerca di 1 anno, settore MAT/05 (Università di Firenze)</a> (deadline: Fri 23 October 2020)</p>
<p><a href="/position/514/">postdoc position (assegno) in Analysis in Pisa</a> (deadline: Sat 31 October 2020)</p>
<p><a href="/position/508/">One PhD and one PostDoc positions at the University of Basel in the group of Prof. G. Crippa</a> (deadline: Sat 31 October 2020)</p>
<p><a href="/position/513/">Open Call: PhD and Postdoc Positions, Young Research Groups - Mathematics Münster (Autumn Round 2020)</a> (deadline: Sun 1 November 2020)</p>
<p><a href="/position/516/">Ricercatore a Tempo Determinato - Tipo A (Università Cattolica del Sacro Cuore, Brescia)</a> (deadline: Thu 5 November 2020)</p>
<p><b>(new)</b> <a href="/position/519/">Postdoc position at the University of Pavia</a> (deadline: Fri 13 November 2020)</p>
<p><a href="/position/512/">One-year PostDoc position in Genoa</a> (deadline: Mon 23 November 2020)</p>
<p><b>(new)</b> <a href="/position/518/">Junior Professorship (non TT) for Applied Mathematics</a> (deadline: Sun 29 November 2020)</p>
<p><a href="/position/515/">Tenured position in Differential Geometry in Bruxelles</a> (deadline: Tue 1 December 2020)</p>
<p><a href="/position/504/">Postdoctoral Researcher at Okinawa Institute of Science and Technology under Prof. Daniel Spector</a> (deadline: Tue 15 December 2020)</p>
<p><a href="/position/458/">PhD student positions at Imperial College London</a> (deadline: Fri 15 January 2021)</p>
<p><a href="/position/469/">Recruitment of the Nanjing Center for Applied Mathematics（NCAM） Nanjing, China</a> (deadline: Thu 11 February 2021)</p>
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