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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/563/'>Castorina</a></p>
<p><b>New papers by:</b> <a href='/person/1857/' >Soave</a>, <a >Zilio</a>, <a href='/person/262/' >Buttazzo</a>, <a href='/person/7/' >Fusco</a>, <a >Chambolle</a>, <a href='/person/44/' >Braides</a>, <a >Cardone</a>, <a href='/person/2318/' >Lavenant</a>, <a >Nazarov</a>, <a >Merlet</a>, <a >Tavares</a>, <a >Terracini </a>, <a >Gronchi</a>, <a href='/person/119/' >Novaga</a>, <a href='/person/217/' >Fusco</a>, <a >Ferrari</a>, <a href='/person/123/' >Chiadò Piat</a>, <a href='/person/157/' >Pallara</a></p>
<p><b>Modified papers by:</b> <a >Kell</a>, <a >Henao</a>, <a >Mora-Corral</a>, <a href='/person/965/'>Mondino</a>, <a href='/person/76/'>Marchese</a>, <a href='/person/207/'>Negri</a>, <a href='/person/336/'>Velichkov</a>, <a href='/person/977/'>Mazzoleni</a>, <a >Terracini</a>, <a href='/person/116/'>Barchiesi</a>, <a href='/person/1753/'>De Rosa</a>, <a href='/person/59/'>Colombo</a></p>
<h2>Seminars next week</h2>
<h3>Wed 1 February 2017</h3><ul>
<li><p>
Daniele Castorina: <b><a href='/seminar/563/'>Regularity of stable solutions of $p$-Laplace equations through geometric Sobolev type inequalities</a></b><br />
Aula Seminari, Dipartimento di Matematica di Pisa, 17:00<br /> </p>
<div style="font-size: smaller;"><p>We prove a Sobolev and a Morrey type inequality involving the mean
curvature and the tangential gradient with respect to the level sets
of the function that appears in the inequalities. Then, as an
application, we establish \textit{a priori} estimates for semistable
solutions of $-\Delta_p u= g(u)$ in a smooth bounded domain
$\Omega\subset \mathbb{R}^n$. In particular, we obtain new
$L^r$ and $W^{1,r}$ bounds for the extremal solution
$u^\star$ when the domain is strictly convex. More precisely, we prove that
$u^\star\in L^\infty(\Omega)$ if $n\leq p+2$ and $u^\star\in
L^{\frac{np}{n-p-2}}(\Omega)\cap W^{1,p}_0(\Omega)$ if $n>p+2$.
This is a joint work with Manel Sanchon (UAB Barcelona).</p>
</div> </li>
</ul>
<h2>New Papers</h2>
<p><b> Lavenant:</b> <a href='/paper/3312/'>Time-convexity of the entropy in the multiphasic formulation of the incompressible Euler equation</a></p>
<p><b> Braides, Chiadò Piat:</b> <a href='/paper/3313/'>Integral representation results for functionals defined on $SBV (\Omega; R^m)$</a></p>
<p><b> Soave, Tavares, Terracini , Zilio:</b> <a href='/paper/3314/'>Variational problems with long-range interaction</a></p>
<p><b> Fusco, Pallara:</b> <a href='/paper/3315/'>On the isoperimetric profile for a mixed Euclidean-Log-convex measure</a></p>
<p><b> Buttazzo, Cardone, Nazarov:</b> <a href='/paper/3316/'>Thin elastic plates supported over small areas II. Variational-asymptotic models.</a></p>
<p><b> Fusco, Gronchi, Novaga:</b> <a href='/paper/3317/'>On the existence of connecting orbits for critical values of the energy</a></p>
<p><b> Chambolle, Merlet, Ferrari:</b> <a href='/paper/3318/'>A simple phase-field approximation of the Steiner problem in dimension two</a></p>
<h2>Modified Papers</h2>
<p><b> Negri:</b> <a href='/paper/2691/'>A simple derivation and classical representations of energy variations for curved cracks</a></p>
<p><b> Barchiesi, Henao, Mora-Corral:</b> <a href='/paper/2757/'>Local invertibility in Sobolev spaces with applications to nematic elastomers and magnetoelasticity</a></p>
<p><b> Kell, Mondino:</b> <a href='/paper/3106/'>On the volume measure of non-smooth spaces with Ricci curvature bounded below</a></p>
<p><b> Mazzoleni, Terracini, Velichkov:</b> <a href='/paper/3157/'>Regularity of the optimal sets for some spectral functionals</a></p>
<p><b> Colombo, De Rosa, Marchese:</b> <a href='/paper/3293/'>Improved stability of optimal traffic paths</a></p>
<h2>Open Positions</h2>
<p><a href="/position/209/">fully-funded PhD positions at Queen Mary University of London</a> (deadline: Mon 30 January 2017)</p>
<p><a href="/position/212/">German research chair for "mathematics and its applications" at the African institute for mathematical science in Tanzania</a> (deadline: Wed 1 February 2017)</p>
<p><a href="/position/229/">Post doc positions in geometric analysis at SISSA</a> (deadline: Tue 7 February 2017)</p>
<p><a href="/position/230/">Associate Professor (SSD MAT/05)</a> (deadline: Thu 9 February 2017)</p>
<p><a href="/position/233/">PhD-position at University of Augsburg (Germany)</a> (deadline: Sun 12 February 2017)</p>
<p><a href="/position/232/">Willmore Postdoctoral Fellowship at Durham University</a> (deadline: Mon 13 February 2017)</p>
<p><a href="/position/228/">Post-Doc in Analysis, Geometry and Mathematical Modelling in Mechanics, at CMAF, Lisbon, Portugal</a> (deadline: Thu 16 February 2017)</p>
<p><b>(new)</b> <a href="/position/234/">PhD Positions at SNS</a> (deadline: Mon 20 February 2017)</p>
<p><a href="/position/224/">10 PhD positions in Italy for students from abroad</a> (deadline: Fri 31 March 2017)</p>
<p><a href="/position/227/">Tenure Track Analisi e PDE Università di Bergen, Norvegia</a> (deadline: Sun 30 April 2017)</p>
<p><a href="/position/213/">Queen’s University, Canada: Tenure-track in Applied Mathematics and Mathematics</a> (deadline: Sat 1 July 2017)</p>
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