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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/666/'> Wu</a>, <a href='/seminar/665/'>Mari</a></p>
<p><b>New papers by:</b> <a href='/person/3072/' >Di Donato</a>, <a >Sciunzi</a>, <a href='/person/1126/' >Van Schaftingen</a>, <a href='/person/39/' >Spector</a>, <a >Chambolle</a>, <a href='/person/263/' >Mantegazza</a>, <a href='/person/1164/' >Moll</a>, <a >Baldi</a>, <a href='/person/2063/' >Haus</a>, <a >Muratov</a>, <a href='/person/2984/' >Buffa</a>, <a href='/person/119/' >Novaga</a>, <a href='/person/24/' >Palatucci</a>, <a href='/person/1917/' >Castorina</a>, <a href='/person/255/' >Caselles</a></p>
<p><b>Modified papers by:</b> <a >Salort</a>, <a href='/person/3/'>Ambrosio</a>, <a href='/person/260/'>Goldman</a>, <a >Chambolle</a>, <a >Jerrard</a>, <a href='/person/138/'>Paolini</a>, <a href='/person/140/'>Zhong</a>, <a href='/person/1933/'>Pagliardini</a>, <a >Dall'Acqua</a>, <a >Muratov</a>, <a >Korvenpaa</a>, <a >Riolo</a>, <a >Martelli</a>, <a >Lucia</a>, <a >Kuusi</a>, <a href='/person/544/'>Cesaroni</a>, <a href='/person/1826/'>Pluda</a>, <a href='/person/1187/'>Baroni</a>, <a >Luckhaus</a>, <a >Berarducci</a>, <a >Knüpfer</a>, <a href='/person/47/'>Bellettini</a>, <a href='/person/189/'>Orlandi</a>, <a >Valdinoci</a>, <a >Bertini</a>, <a href='/person/62/'>Scardia</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/70/'>Kawohl</a>, <a href='/person/199/'>Ponsiglione</a>, <a href='/person/1099/'>De Luca</a>, <a href='/person/204/'>Dal Maso</a>, <a href='/person/162/'>Dragoni</a>, <a >Mariani</a>, <a >Gordon</a>, <a >Tornese</a>, <a href='/person/24/'>Palatucci</a>, <a >Athavale</a>, <a href='/person/862/'>Di Castro</a>, <a href='/person/2145/'>Tewodrose</a>, <a >Honda</a>, <a >Filali</a>, <a href='/person/103/'>Cagnetti</a>, <a >Majer</a>, <a >Okabe</a>, <a href='/person/112/'>Zeppieri</a>, <a >Masala</a>, <a href='/person/2899/'>Mukherjee</a>, <a href='/person/373/'>Malchiodi</a>, <a href='/person/119/'>Novaga</a>, <a >Dirr</a>, <a href='/person/255/'>Caselles</a></p>
<h2>Seminars next week</h2>
<h3>Wed 21 November 2018</h3><ul>
<li><p>
Ruijun Wu: <b><a href='/seminar/666/'>Dirac-harmonic maps and "supersymmetric" nonlinear sigma models</a></b><br />
Sala Seminari Dipartimento di Matematica di Pisa, 16:00<br /> </p>
<div style="font-size: smaller;"><p>In these models we deal with coupled pairs consisting of a map between
manifolds and a spinorial field along this map. Originated from
supersymmetric sigma models and supermanifold theory, they are
recently analysed using the tools in nonlinear analysis. The
Euler-Lagrangian system contains both a second order(Laplacian type)
and a first order (Dirac type) elliptic equations. Some basic
properties will be given as well as some example of the Dirac-harmonic
maps.</p>
</div> </li>
<li><p>
Luciano Mari: <b><a href='/seminar/665/'>On the 1/H flow via p-Laplace approximation under Ricci lower bounds</a></b><br />
Sala Seminari Dipartimento di Matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>In this talk, we consider the existence problem for weak solutions of
the Inverse Mean Curvature Flow on a complete manifold with only a
Ricci lower bound. Solutions either issue from a point or from the
boundary of a relatively compact open set. To prove their existence in
the sense of Huisken-Ilmanen, we follow the strategy pioneered by J.
Moser that uses approximation by p-Laplacian kernels. In particular,
we prove new and sharp gradient estimates for the kernel of the
p-Laplacian on M via the study of the fake distance associated to it.
We address the compactness of the flowing hypersurfaces, and time
permitting some monotonicity formulas in the spirit of Geroch's one.
This is joint work with M. Rigoli and A.G. Setti.</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Spector, Van Schaftingen:</b> <a href='/paper/4100/'>Optimal embeddings into Lorentz spaces for some vector differential operators via Gagliardo's lemma</a></p>
<p><b> Muratov, Novaga:</b> <a href='/paper/4108/'>Front propagation in infinite cylinders II. The sharp reaction zone limit</a></p>
<p><b> Caselles, Chambolle, Moll, Novaga:</b> <a href='/paper/4109/'>A characterization of convex calibrable sets in $\mathbb R^N$ with respect to anisotropic norms</a></p>
<p><b> Buffa:</b> <a href='/paper/4110/'>BV Functions in Metric Measure Spaces: Traces and Integration by Parts Formulæ</a></p>
<p><b> Baldi, Haus, Mantegazza:</b> <a href='/paper/4111/'>Existence of a lens-shaped cluster of surfaces self-shrinking by mean curvature</a></p>
<p><b> Castorina, Mantegazza, Sciunzi:</b> <a href='/paper/4112/'>A Liouville theorem for superlinear heat equations on Riemannian
manifolds</a></p>
<p><b> Di Donato:</b> <a href='/paper/4113/'>Intrinsic Differentiability and Intrinsic Regular Surfaces in Carnot
Groups</a></p>
<p><b> Palatucci:</b> <a href='/paper/4114/'>The Dirichlet problem for the $p$-fractional Laplace equation</a></p>
<h2>Modified Papers</h2>
<p><b> Bellettini, Masala, Novaga:</b> <a href='/paper/41/'>A conjecture of De Giorgi on the squared distance function</a></p>
<p><b> Caselles, Chambolle, Novaga:</b> <a href='/paper/74/'>Some remarks on uniqueness and regularity of Cheeger sets</a></p>
<p><b> Bellettini, Novaga, Paolini, Tornese:</b> <a href='/paper/228/'>Convergence of discrete schemes for the Perona-Malik equation</a></p>
<p><b> Bellettini, Novaga:</b> <a href='/paper/233/'>Barriers for a Class of Geometric Evolutions Problems</a></p>
<p><b> Caselles, Chambolle, Novaga:</b> <a href='/paper/258/'>Uniqueness of the Cheeger set of a convex body</a></p>
<p><b> Chambolle, Novaga:</b> <a href='/paper/344/'>Convergence of an algorithm for anisotropic mean curvature motion</a></p>
<p><b> Bellettini, Caselles, Chambolle, Novaga:</b> <a href='/paper/390/'>Crystalline mean curvature flow of convex sets</a></p>
<p><b> Muratov, Novaga:</b> <a href='/paper/398/'>Front propagation in infinite cylinders I: a variational approach</a></p>
<p><b> Bellettini, Novaga:</b> <a href='/paper/455/'>Comparison Results between Minimal Barriers and Viscosity Solutions for Geometric Evolutions</a></p>
<p><b> Goldman, Novaga:</b> <a href='/paper/497/'>Volume-constrained minimizers for the prescribed curvature problem in periodic media</a></p>
<p><b> Bellettini, Novaga:</b> <a href='/paper/667/'>Curvature Evolution of Nonconvex Lens-Shaped Domains</a></p>
<p><b> Novaga, Valdinoci:</b> <a href='/paper/725/'>Multibump solutions and asymptotic expansions for mesoscopic Allen-Cahn type equations</a></p>
<p><b> Goldman, Novaga:</b> <a href='/paper/745/'>Approximation and relaxation of perimeter in the Wiener space</a></p>
<p><b> Bellettini, Caselles, Chambolle, Novaga:</b> <a href='/paper/770/'>The volume preserving crystalline mean curvature flow of convex sets in $\mathbf R^N$</a></p>
<p><b> Novaga, Valdinoci:</b> <a href='/paper/771/'>The geometry of mesoscopic phase transition interfaces</a></p>
<p><b> Cesaroni, Novaga, Valdinoci:</b> <a href='/paper/818/'>Curvature flow in heterogeneous media</a></p>
<p><b> Dirr, Lucia, Novaga:</b> <a href='/paper/857/'>$\Gamma$-convergence of the Allen--Cahn energy with an oscillating forcing term</a></p>
<p><b> Novaga, Paolini:</b> <a href='/paper/917/'>Nonuniqueness for crystalline curvature flow</a></p>
<p><b> Bellettini, Novaga, Orlandi:</b> <a href='/paper/949/'>Time-like lorentzian minimal submanifolds as singular limits of nonlinear wave equations</a></p>
<p><b> Bellettini, Novaga, Paolini:</b> <a href='/paper/1079/'>Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension</a></p>
<p><b> Bellettini, Bertini, Mariani, Novaga:</b> <a href='/paper/1108/'>$\Gamma$-entropy cost for scalar conservation laws</a></p>
<p><b> Chambolle, Novaga:</b> <a href='/paper/1160/'>Implicit time discretization of the mean curvature flow with a discontinuous forcing term</a></p>
<p><b> Caselles, Chambolle, Novaga:</b> <a href='/paper/1343/'>The discontinuity set of solutions of the TV denoising problem and some extensions</a></p>
<p><b> Bellettini, Novaga, Paolini, Tornese:</b> <a href='/paper/1377/'>Classification of the equilibria for the semi-discrete Perona-Malik equation</a></p>
<p><b> Novaga, Valdinoci:</b> <a href='/paper/1382/'>Bump solutions for the mesoscopic Allen-Cahn equation in periodic media</a></p>
<p><b> Dirr, Luckhaus, Novaga:</b> <a href='/paper/1404/'>A stochastic selection principle in case of fattening for curvature flow</a></p>
<p><b> Kawohl, Novaga:</b> <a href='/paper/1442/'>The $p$-Laplace eigenvalue problem as $p \to 1$ and Cheeger sets in a Finsler metric</a></p>
<p><b> Dirr, Lucia, Novaga:</b> <a href='/paper/1557/'>Gradient theory of phase transitions with a rapidly oscillating forcing term</a></p>
<p><b> Berarducci, Majer, Novaga:</b> <a href='/paper/1657/'>Infinite paths and cliques in random graphs</a></p>
<p><b> Gordon, Muratov, Novaga:</b> <a href='/paper/1705/'>Multiplicity of supercritical fronts for reaction-diffusion equations in cylinders</a></p>
<p><b> Caselles, Chambolle, Novaga:</b> <a href='/paper/2005/'>Total variation in imaging</a></p>
<p><b> Novaga, Okabe:</b> <a href='/paper/2137/'>Convergence to equilibrium of gradient flows defined on planar curves</a></p>
<p><b> Bellettini, Novaga, Orlandi:</b> <a href='/paper/2347/'>Eventual regularity for the parabolic minimal surface equation</a></p>
<p><b> Knüpfer, Muratov, Novaga:</b> <a href='/paper/2674/'>Low density phases in a uniformly charged liquid</a></p>
<p><b> Athavale, Jerrard, Novaga, Orlandi:</b> <a href='/paper/2790/'>Weighted TV minimization and applications to vortex density models</a></p>
<p><b> Martelli, Novaga, Pluda, Riolo:</b> <a href='/paper/2836/'>Spines of minimal length</a></p>
<p><b> Cesaroni, Novaga:</b> <a href='/paper/2950/'>Volume constrained minimizers of the fractional perimeter with a
potential energy</a></p>
<p><b> Korvenpaa, Kuusi, Palatucci:</b> <a href='/paper/3027/'>Fractional superharmonic functions and the Perron method for nonlinear integro-differential equations</a></p>
<p><b> Baroni, Di Castro, Palatucci:</b> <a href='/paper/3224/'>Intrinsic geometry and De Giorgi classes for certain anisotropic problems</a></p>
<p><b> Tewodrose:</b> <a href='/paper/3238/'>Weighted Sobolev inequalities in CD(0,N) spaces</a></p>
<p><b> Ambrosio, Honda, Tewodrose:</b> <a href='/paper/3304/'>Short-time behavior of the heat kernel and Weyl's law on $RCD^*(K,N)$ spaces</a></p>
<p><b> Cagnetti, Dal Maso, Scardia, Zeppieri:</b> <a href='/paper/3371/'>$\Gamma$-convergence of free-discontinuity problems</a></p>
<p><b> Cesaroni, Novaga:</b> <a href='/paper/3523/'>The isoperimetric problem for nonlocal perimeters</a></p>
<p><b> Dall'Acqua, Novaga, Pluda:</b> <a href='/paper/3713/'>Minimal elastic networks</a></p>
<p><b> Malchiodi, Novaga, Pagliardini:</b> <a href='/paper/3762/'>On critical points of the relative fractional perimeter</a></p>
<p><b> Brasco, Salort:</b> <a href='/paper/3858/'>A note on homogeneous Sobolev spaces of fractional order</a></p>
<p><b> De Luca, Novaga, Ponsiglione:</b> <a href='/paper/3880/'>$\Gamma$-convergence of the Heitmann-Radin sticky disc energy to the crystalline perimeter</a></p>
<p><b> Mukherjee, Zhong:</b> <a href='/paper/3927/'>$C^{1,α}$-Regularity for variational problems in the Heisenberg
group</a></p>
<p><b> Dragoni, Filali:</b> <a href='/paper/4090/'>Starshaped and convex sets in Carnot groups and in the geometries of vector fields.</a></p>
<p><b> Knüpfer, Muratov, Novaga:</b> <a href='/paper/4096/'>Emergence of non-trivial minimizers for the three-dimensional
Ohta-Kawasaki energy</a></p>
<h2>Open Positions</h2>
<p><a href="/position/349/">Two postdoctoral positions at Charles University, Prague</a> (deadline: Fri 16 November 2018)</p>
<p><a href="/position/361/">Geometric analysis and partial differential equations in singular and non-Euclidean settings</a> (deadline: Fri 16 November 2018)</p>
<p><a href="/position/352/">Postdoctoral position on ERC project in PDEs and Calculus of Variations</a> (deadline: Sun 18 November 2018)</p>
<p><b>(new)</b> <a href="/position/371/">Several post doc positions in Mathematics at the University of Münster</a> (deadline: Fri 30 November 2018)</p>
<p><a href="/position/358/">Postdoc position (U. Zurich) with X. Ros-Oton</a> (deadline: Sat 1 December 2018)</p>
<p><b>(new)</b> <a href="/position/373/">One year post-doctoral position in Geometry and Global Analysis - Nantes, France</a> (deadline: Sat 1 December 2018)</p>
<p><a href="/position/365/">Assistant Professor in Analysis of Partial Differential Equations at Durham University</a> (deadline: Fri 14 December 2018)</p>
<p><a href="/position/366/">Willmore Fellow in Analysis of Partial Differential Equations at Durham University</a> (deadline: Fri 14 December 2018)</p>
<p><a href="/position/367/">PhD Positions at UT Austin, starting Fall 2019</a> (deadline: Sat 15 December 2018)</p>
<p><a href="/position/364/">ERC Post Doc Position at Warwick with A. Mondino</a> (deadline: Sun 16 December 2018)</p>
<p><b>(new)</b> <a href="/position/369/">Two Post-doc and one Ph.D. in Mean Curvature Flow, London</a> (deadline: Sun 16 December 2018)</p>
<p><b>(new)</b> <a href="/position/372/">Assistant Professor position at KAUST</a> (deadline: Thu 20 December 2018)</p>
<p><b>(new)</b> <a href="/position/370/">SISSA Mathematical Fellowships</a> (deadline: Tue 8 January 2019)</p>
<p><b>(new)</b> <a href="/position/368/">PhD position in Calculus of Variations with J. Matias</a> (deadline: Wed 6 February 2019)</p>
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