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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/601/'>Di Marino</a></p>
<p><b>New papers by:</b> <a >Mooney</a>, <a href='/person/262/' >Buttazzo</a>, <a >Dietrich</a>, <a href='/person/1394/' >Cristoferi</a>, <a >Nazarov</a>, <a href='/person/1714/' >Caroccia</a>, <a >Wagner</a>, <a href='/person/186/' >Figalli</a></p>
<p><b>Modified papers by:</b> <a href='/person/256/'>Vittone</a>, <a href='/person/129/'>Percivale</a>, <a href='/person/3/'>Ambrosio</a>, <a href='/person/263/'>Mantegazza</a>, <a href='/person/151/'>Pratelli</a>, <a >Murakawa</a>, <a href='/person/1554/'>Piovano</a>, <a href='/person/22/'>De Philippis</a>, <a href='/person/1753/'>De Rosa</a>, <a href='/person/1177/'>Mongodi</a>, <a href='/person/544/'>Cesaroni</a>, <a >Savin</a>, <a >Crasta</a>, <a >Antonini</a>, <a >Segatti</a>, <a >Mészáros</a>, <a href='/person/1714/'>Caroccia</a>, <a href='/person/181/'>Martinazzi</a>, <a href='/person/1737/'>Neumayer</a>, <a href='/person/186/'>Figalli</a>, <a href='/person/59/'>Colombo</a>, <a >Pigati</a>, <a href='/person/1982/'>Rindler</a>, <a href='/person/194/'>Stefanelli</a>, <a href='/person/69/'>Lamboley</a>, <a href='/person/198/'>Brasco</a>, <a href='/person/2247/'>Tamanini</a>, <a href='/person/712/'>Rimoldi</a>, <a href='/person/201/'>Santambrogio</a>, <a href='/person/76/'>Marchese</a>, <a href='/person/2304/'>Arroyo-Rabasa</a>, <a href='/person/336/'>Velichkov</a>, <a href='/person/82/'>Lisini</a>, <a href='/person/89/'>De Cicco</a>, <a href='/person/90/'>Ghiraldin</a>, <a >Pierre</a>, <a >Littig</a>, <a >Charro</a>, <a href='/person/862/'>Di Castro</a>, <a >Maximo</a>, <a href='/person/226/'>Gigli</a>, <a href='/person/102/'>Mainini</a>, <a href='/person/103/'>Cagnetti</a>, <a href='/person/239/'>Maggi</a>, <a >Monteverde</a>, <a href='/person/374/'>Oudet</a>, <a href='/person/119/'>Novaga</a>, <a href='/person/127/'>Monti</a></p>
<h2>Events next week</h2>
<ul>
<li><p>
<b><a href='/event/431/'>Geometric aspects of PDEs</a></b><br />
Fri 10 November 2017 - Sat 11 November 2017<br />
Firenze<br /></p></li>
</ul>
<h2>Seminars next week</h2>
<h3>Wed 8 November 2017</h3><ul>
<li><p>
Simone Di Marino (Scuola Normale Superiore): <b><a href='/seminar/601/'>A Hele-Shaw tumor growth model as a gradient flow</a></b><br />
Sala Seminari Dipartimento di matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>In 2014 Perthame, Quiroz and Vasquez unite two types of modeling of tumor growth into a unique framework of reaction-diffusion type where the diffusive term is $\Delta p(\rho)$ and $p(\rho)=\rho^m$. The stiff limit $m \to \infty$ is in particular a Hele-Shaw type problem: we find a gradient flow formulation of this problem, namely it is the gradient flow of the negative mass with respect to the Wasserstein-Fisher-Rao distance, discovered simultaneously by many authors in the last years. This leads also to accurate numerical simulations of the stiff limit case</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Caroccia, Cristoferi, Dietrich:</b> <a href='/paper/3652/'>Equilibria configurations for epitaxial crystal growth with adatoms</a></p>
<p><b> Figalli, Mooney:</b> <a href='/paper/3653/'>An obstacle problem for conical deformations of thin elastic sheets</a></p>
<p><b> Buttazzo, Nazarov:</b> <a href='/paper/3654/'>Optimal location of support points in the Kirchhoff plate</a></p>
<p><b> Buttazzo, Wagner:</b> <a href='/paper/3655/'>On the optimal shape of a rigid body supported by an elastic membrane</a></p>
<h2>Modified Papers</h2>
<p><b> Ambrosio, De Philippis, Martinazzi:</b> <a href='/paper/990/'>Gamma-convergence of nonlocal perimeter functionals</a></p>
<p><b> Charro, De Philippis, Di Castro, Maximo:</b> <a href='/paper/1271/'>On the Aleksandrov-Bakelman-Pucci estimate for the infinity Laplacian</a></p>
<p><b> Ambrosio, Crasta, De Cicco, De Philippis:</b> <a href='/paper/1682/'>A nonautonomous chain rule in $W^{1,p}$ and in $BV$</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/1695/'>$W^{2,1}$ regularity for solutions of the Monge-Ampère equation</a></p>
<p><b> Ambrosio, Colombo, De Philippis, Figalli:</b> <a href='/paper/1700/'>Existence of Eulerian solutions to the semigeostrophic equations in
physical space: the 2-dimensional periodic case</a></p>
<p><b> De Philippis, Figalli, Savin:</b> <a href='/paper/1777/'>A note on interior $W^{2,1+\varepsilon}$ estimates for the Monge-Ampere
equation</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/1778/'>Second order stability for the Monge-Ampere equation and strong Sobolev
convergence of optimal transport maps</a></p>
<p><b> Mantegazza, Mongodi, Rimoldi:</b> <a href='/paper/1809/'>The Cotton Tensor and the Ricci Flow</a></p>
<p><b> Ambrosio, Colombo, De Philippis, Figalli:</b> <a href='/paper/1846/'>A global existence result for the semigeostrophic equations in three
dimensional convex domains</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/1926/'>Partial Regularity for optimal transport maps</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/2024/'>Sobolev regularity for Monge-Ampère type equations</a></p>
<p><b> De Philippis, Velichkov:</b> <a href='/paper/2110/'>Existence and regularity of minimizers for some spectral functionals with perimeter constraint</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/2111/'>Higher integrability for minimizers of the Mumford-Shah functional</a></p>
<p><b> Cagnetti, Colombo, De Philippis, Maggi:</b> <a href='/paper/2128/'>Essential connectedness and the rigidity problem for Gaussian
symmetrization</a></p>
<p><b> Brasco, De Philippis, Velichkov:</b> <a href='/paper/2161/'>Faber-Krahn inequalities in sharp quantitative form</a></p>
<p><b> Cagnetti, Colombo, De Philippis, Maggi:</b> <a href='/paper/2230/'>Rigidity of equality cases in Steiner's perimeter inequality</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/2262/'>The Monge-Ampère equation and its link to optimal transportation</a></p>
<p><b> De Philippis, Maggi:</b> <a href='/paper/2353/'>Regularity of free boundaries in anisotropic capillarity problems and
the validity of Young's law</a></p>
<p><b> Crasta, De Cicco, De Philippis:</b> <a href='/paper/2410/'>Kinetic formulation and uniqueness for scalar conservation laws with
discontinuous flux</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/2446/'>A note on the dimension of the singular set in free interface problems</a></p>
<p><b> De Philippis, Maggi:</b> <a href='/paper/2483/'>Dimensional estimates for singular sets in geometric variational
problems with free boundaries</a></p>
<p><b> Caroccia, Maggi:</b> <a href='/paper/2543/'>A sharp quantitative version of Hales' isoperimetric honeycomb theorem</a></p>
<p><b> De Philippis, Mészáros, Santambrogio, Velichkov:</b> <a href='/paper/2559/'>BV Estimates in Optimal Transportation and Applications</a></p>
<p><b> Caroccia, Neumayer:</b> <a href='/paper/2574/'>A note on the stability of the Cheeger constant of $N$-gons</a></p>
<p><b> De Philippis, De Rosa, Ghiraldin:</b> <a href='/paper/2615/'>A direct approach to Plateau's problem in any codimension</a></p>
<p><b> Gigli, De Philippis:</b> <a href='/paper/2860/'>From volume cone to metric cone in the nonsmooth setting</a></p>
<p><b> De Philippis, Rindler:</b> <a href='/paper/2912/'>On the structure of ${\mathscr A}$-free measures and applications</a></p>
<p><b> Crasta, De Cicco, De Philippis, Ghiraldin:</b> <a href='/paper/2920/'>Structure of solutions of multidimensional conservation laws with
discontinuous flux and applications to uniqueness</a></p>
<p><b> De Philippis, Rindler:</b> <a href='/paper/2991/'>Characterization of generalized Young measures generated by symmetric
gradients</a></p>
<p><b> Brasco, De Philippis:</b> <a href='/paper/2994/'>Spectral inequalities in quantitative form</a></p>
<p><b> De Philippis, Lamboley, Pierre, Velichkov:</b> <a href='/paper/3048/'>Regularity of Minimizers of Shape Optimization Problems involving Perimeter</a></p>
<p><b> De Philippis, Figalli:</b> <a href='/paper/3066/'>Rigidity and stability of Caffarelli's log-concave perturbation theorem</a></p>
<p><b> Mainini, Murakawa, Piovano, Stefanelli:</b> <a href='/paper/3096/'>Carbon-nanotube geometries: analytical and numerical results</a></p>
<p><b> Lisini, Mainini, Segatti:</b> <a href='/paper/3097/'>A gradient flow approach to the porous medium equation with fractional pressure</a></p>
<p><b> De Philippis, Marchese, Rindler:</b> <a href='/paper/3109/'>On a conjecture of Cheeger</a></p>
<p><b> Mainini, Murakawa, Piovano, Stefanelli:</b> <a href='/paper/3131/'>Carbon-nanotube geometries as optimal configurations</a></p>
<p><b> Mainini, Monteverde, Oudet, Percivale:</b> <a href='/paper/3132/'>Newton’s aerodynamic for non convex bodies</a></p>
<p><b> De Philippis, De Rosa, Ghiraldin:</b> <a href='/paper/3158/'>Rectifiability of varifolds with locally bounded first variation with
respect to anisotropic surface energies</a></p>
<p><b> Monti, Pigati, Vittone:</b> <a href='/paper/3175/'>Existence of tangent lines to Carnot-Carathéodory geodesics</a></p>
<p><b> Arroyo-Rabasa, De Philippis, Rindler:</b> <a href='/paper/3296/'>Lower semicontinuity and relaxation of linear-growth integral
functionals under PDE constraints</a></p>
<p><b> De Philippis, De Rosa, Ghiraldin:</b> <a href='/paper/3409/'>Existence results for minimizers of parametric elliptic functionals</a></p>
<p><b> Caroccia, Littig:</b> <a href='/paper/3510/'>The Cheeger N-problem in terms of BV functions</a></p>
<p><b> Cesaroni, Novaga:</b> <a href='/paper/3523/'>The isoperimetric problem for nonlocal perimeters</a></p>
<p><b> Antonini, De Philippis, Gigli:</b> <a href='/paper/3527/'>The injectivity radius of Lie manifolds</a></p>
<p><b> De Philippis, Gigli:</b> <a href='/paper/3542/'>Non-collapsed spaces with Ricci curvature bounded from below</a></p>
<p><b> De Philippis, Pratelli:</b> <a href='/paper/3636/'>The closure of planar diffeomorphisms in Sobolev spaces</a></p>
<p><b> Tamanini:</b> <a href='/paper/3651/'>Analysis and geometry of RCD spaces via the Schrödinger problem</a></p>
<h2>Open Positions</h2>
<p><a href="/position/281/">Post-doc and PhD positions in Dortmund</a> (deadline: Tue 7 November 2017)</p>
<p><a href="/position/275/">Professorship in Mathematical Analysis at UCL (Belgium)</a> (deadline: Wed 15 November 2017)</p>
<p><a href="/position/276/">Lecturer/Senior Lecturer/Reader in Mathematics School of Mathematics, University of Bristol UK</a> (deadline: Mon 27 November 2017)</p>
<p><a href="/position/277/">Postdoctoral Positions in the Max Planck Research Group "Rigidity and Flexibility in PDEs"</a> (deadline: Fri 1 December 2017)</p>
<p><a href="/position/278/">PhD Position in the Max Planck Research Group "Rigidity and Flexibility in PDEs"</a> (deadline: Fri 1 December 2017)</p>
<p><a href="/position/280/">Chairs in Mathematics and Statistical Science School of Mathematics, University of Bristol UK</a> (deadline: Mon 4 December 2017)</p>
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