CVGMT: home

Welcome to the HomePage of the Research Group in Calculus of Variations and Geometric Measure Theory at Pisa. Look here to know more about us. Please, feel free to download and use all the material you find interesting. If you want to receive regularly the group news, subscribe to our mailing list in the mail section. If you want to receive an account to insert your preprints, fill-in the account request.

Erc Projects

Geometric Measure Theory in non Euclidean spaces (Luigi Ambrosio) > papers
Quasistatic and Dynamic Evolution Problems in Plasticity and Fracture (Gianni Dal Maso)
Analytic Techniques for Geometric and Functional Inequalities (Nicola Fusco)
Vectorial Elliptic, Parabolic and Variational Problems: Singularities and Regularity (Giuseppe Mingione)
Analysis of Optimal Sets and Optimal Constants: Old Questions and New Results (Aldo Pratelli)
Mathematics for Shape Memory Technologies in Biomechanics (Ulisse Stefanelli)

News

10 Mar 2014: Premio Fubini 2014

Open Positions

PostDoc position at the Math. Dept. Univ. Trento (Italy) on CalcVar and Nonlinear PDE (deadline: 19 Mar 2014)
Junior Professor (W1) position in Analysis at Erlangen (deadline: 28 Mar 2014)
Lecturer/Senior Lecturer/Readership in Applied Mathematics at Bath (UK) (deadline: 2 Apr 2014)
ERC-Postdoc positions in Analysis at Erlangen (deadline: 30 Apr 2014)
PhD position at the University of Sussex (deadline: 31 May 2014)

Forthcoming Seminars

11 Mar 2014: R. L. Soriano: Prescribing the Gaussian curvature in a subdomain of $\mathbb S^2$
11 Mar 2014: M. Roeckner: An operatorial approach to stochastic partial differential equations driven by linear multiplicative noise
11 Mar 2014: I. Parissis: Extending sets by means of the maximal function; continuity estimates
14 Mar 2014: V. Bögelein: The obstacle problem for the porous medium equation
14 Mar 2014: F. Duzaar: A variational approach to the total variation flow
20 Mar 2014: D. Pallara: Functions of bounded variation and the short-time behaviour of the heat semigroup
20 Mar 2014: Y. Sire: The fractional Yamabe problem

Forthcoming Events

24 - 28 Mar 2014: First Joint school ENS-Lyon SNS Aula Dini, Scuola Normale Superiore
24 - 28 Mar 2014: Intensive Research Week Calculus of Variations, Geometric Analysis & Partial Differential Equations University of Sussex
31 Mar - 4 Apr 2014: International Workshop: From Atomistic to Continuum Models in Materials Science Gran Sasso Science Institute L'Aquila
12 - 16 May 2014: Spring School “Microscopic descriptions and mean-field equations in physics and social sciences” University of Bath
21 - 23 May 2014: Calculus of Variations and Optimization (A conference on the occasion of the 60th birthday of Giuseppe Buttazzo) Pisa, Department of Mathematics
9 Jun - 12 Jul 2014: ERC Research Period on Calculus of Variations and Analysis in Metric Spaces Pisa
9 - 13 Jun 2014: Analysis and Geometry on Singular Spaces Pisa
9 - 14 Jun 2014: 1° Corso Intensivo di Calcolo delle Variazioni Catania
10 - 14 Jun 2014: Recent advances in non-local and non-linear analysis: theory and applications ETH, Zuerich
10 - 13 Jun 2014: Nonlinear partial differential equations and stochastic methods Jyvaskyla, Finland
16 - 20 Jun 2014: Isoperimetric Problems Between Analysis and Geometry
16 - 20 Jun 2014: 12th workshop on interactions between dynamical systems and partial differential equations (JISD2014) Barcelona
23 - 27 Jun 2014: NetCO 2014 - Conference on "New Trends in Optimal Control", Tours, France
23 - 28 Jun 2014: School on Geometric Evolution Problems
23 Jun - 18 Jul 2014: Summer School on Geometric Measure Theory and Geometric Analysis Basel, Switzerland
30 Jun - 5 Jul 2014: Existence and Regularity for Nonlinear Sytems of Partial Differential Equations
7 - 12 Jul 2014: School on Free Discontinuity Problems
23 Jul - 27 Jun 2014: Mini-courses in Mathematical Analysis 2014 Mathematics Department - University of Padova

Recently Added Papers

E. Le Donne - G. P. Leonardi - R. Monti - D. Vittone (Submitted Paper)
Corners in non-equiregular sub-Riemannian manifolds (2014)
G. B. Maggiani - R. Scala - N. Van Goethem (Preprint)
A compatible-incompatible decomposition of symmetric tensors in Lp with application to elasticity (2014)
A. Lemenant (Preprint)
A rigidity result for global Mumford-Shah minimizers in dimension three (2014)
A. Di Castro - T. Kuusi - G. Palatucci (Submitted Paper)
Nonlocal Harnack inequalities (2014)
M. Bonnivard - A. Lemenant - F. Santambrogio (Preprint)
Approximation of length minimization problems among compact connected sets. (2014)
H. Kovarik (Submitted Paper)
Resolvent expansion and time decay of the wave functions for two-dimensional magnetic Schroedinger operators (2014)
F. Iurlano (Phd Thesis)
An Approximation Result for Generalised Functions of Bounded Deformation and Applications to Damage Problems (2013)
N. Ansini - F. Prinari (Submitted Paper)
On the lower semicontinuity of supremal functional under differential constraints (2014)
A. Figalli - N. Fusco - F. Maggi - V. Millot - M. Morini (Submitted Paper)
Isoperimetry and stability properties of balls with respect to nonlocal energies (2014)
A. Di Castro - T. Kuusi - G. Palatucci (Submitted Paper)
Local behavior of fractional p-minimizers (2014)
G. Buttazzo - M. van den Berg - B. Velichkov (Preprint)
Optimization problems involving the first Dirichlet eigenvalue and the torsional rigidity (2014)
S. Lisini (Submitted Paper)
Absolutely continuous curves in extended Wasserstein-Orlicz spaces (2014)
L. Brasco - G. Franzina (Submitted Paper)
Convexity properties of Dirichlet integrals and Picone-type inequalities (2014)
E. Mainini - P. Piovano - U. Stefanelli (Accepted Paper: Nonlinearity)
Finite crystallization in the square lattice (2014)
L. Lussardi - M. Peletier - M. Roger (Submitted Paper)
Variational analysis of a mesoscale model for bilayer membranes (2014)

Recently Modified Papers

A. Lemenant - F. Santambrogio (short note)
A Modica-Mortola approximation for the Steiner Problem (2013)
A. Farina - M. Novaga - A. Pinamonti (Accepted Paper: NoDEA)
Symmetry results for nonlinear elliptic operators with unbounded drift (2013)
V. Magnani - J. Malý - S. Mongodi (Accepted Paper: J. Geom. Anal. )
A low rank property and nonexistence of higher dimensional horizontal Sobolev sets (2012)
M. Marini - B. Ruffini (Accepted Paper: Rend. Sem. Mat. Univ. Padova)
On a class of weighted Gauss-type isoperimetric inequalities and applications to symmetrization (2013)
R. Scala - N. Van Goethem (Preprint)
Currents and dislocations at the continuum scale (2013)
G. Grillo - H. Kovarik (Accepted Paper: J. Differential Equations)
Weighted dispersive estimates for two-dimensional Schroedinger operators with Aharonov-Bohm magnetic field (2013)
A. Erhardt (Adv. Nonlinear Anal.)
Calderón-Zygmund theory for parabolic obstacle problems with nonstandard growth (2014)
L. Cremaschi - C. Mantegazza (Accepted Paper: Discrete Contin. Dyn. Syst.)
Short-Time Existence of the Second Order Renormalization Group Flow in Dimension Three (2013)
C. Mantegazza - S. Mongodi - M. Rimoldi (Submitted Paper)
The Cotton Tensor and the Ricci Flow (2012)
M. Goldman - J. Royo-Letelier (Submitted Paper)
Sharp interface limit for two components Bose-Einstein condensates (2014)
G. Scilla (Phd Thesis)
Variational motion of discrete interfaces (2013)
P. Koskela - M. Miranda Jr - N. Shanmugalingam (International Mathematical Series (N.Y.))
Geometric properties of planar BV-extension domains (2010)
L. Angiuli - U. Massari - M. Miranda Jr (Submitted Paper)
Geometric properties of heat content (2010)
E. Mainini - U. Stefanelli (Accepted Paper: Comm. Math. Phys.)
Crystallization in Carbon Nanostructures (2013)
J. A. Carrillo - S. Lisini - E. Mainini (Nonlinear Anal. TMA)
Gradient flows for non-smooth interaction potentials (2014)

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