[CvGmt News] CVGMT: weekly bulletin

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Fri Jan 11 12:00:02 CET 2013


Subject: CVGMT weekly bulletin

Weekly bulletin of http://cvgmt.sns.it/

--- Summary ---

* Seminars by: Ciraolo
* New papers by: Jimenez, Monti, Monti, Quincampoix, Cavalletti, Huesmann, Cardaliaguet
* Modified papers by: Ambrosio, Pegon, Dipierro, Lesesvre, Dal Maso, Tyson, Barilari, Santambrogio, Beck, Iurlano, Schmidt, Rizzi, Valdinoci, Palatucci, Figalli, Stroffolini, Balogh, Monti

--- Seminars next week ---

* Wednesday 16 jan 2013
time: 17:00
Sala Seminari, Department of Mathematics, Pisa University

Symmetry of minimizers with a level surface parallel to the boundary
Giulio Ciraolo 

Abstract. We consider minimizers of elliptic functionals satisfying homogeneous Dirichlet boundary conditions. We prove that if the minimizer has a level surface which is parallel to boundary, then it must be spherically symmetric. We then extend such result to positive solutions of a wide class of elliptic equations. A particular attention will be devoted to minimizers of non-differentiable functionals and to positive solutions of very degenerate elliptic equations, which are equations whose ellipticity constants degenerate at every point where the gradient belongs to some nontrivial convex set.

--- New Papers ---

* Cavalletti, Huesmann: Existence and Uniqueness of optimal transport map

* Cardaliaguet, Jimenez, Quincampoix: Pure and Random strategies in differential game with incomplete informations

* Monti: Regularity results for sub-Riemannian geodesics

* Monti: Lipschitz approximation of H-perimeter minimizing boundaries

* Monti: A family of  nonminimizing abnormal curves

* Monti: The regularity problem for sub-Riemannian geodesics

* Monti: Some properties of Carnot-Caratheodory balls in the Heisenberg group

--- Modified Papers ---

* Dal Maso, Iurlano: Fracture models as Gamma-limits of damage models

* Balogh, Monti, Tyson: Frequency of Sobolev and quasiconformal dimension distortion

* Beck: Boundary regularity results for variational integrals

* Beck: Boundary regularity for elliptic systems under a natural growth condition

* Monti: Rearrangements in metric spaces and in the Heisenberg group

* Beck, Stroffolini: Regularity results for differential forms solving degenerate elliptic systems

* Beck: Partial H?lder continuity for solutions of subquadratic elliptic systems in low dimensions

* Iurlano: Fracture and plastic models as Gamma-limits of damage models under different regimes

* Dal Maso: Generalised functions of bounded deformation

* Ambrosio, Schmidt: Compactness results for normal currents and the Plateau problem in dual Banach spaces

* Dipierro, Figalli, Palatucci, Valdinoci: Asymptotics of the $s$-perimeter as $s \searrow 0$

* Lesesvre, Pegon, Santambrogio: Optimal transportation with an oscillation-type cost: the one-dimensional case

* Barilari, Rizzi: A formula for Popp's volume in sub-Riemannian geometry

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