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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)

Open Positions

Ricercatore a tempo determinato (tipo B) - Università di Padova (deadline: 9 Jan 2014)
CRM-PISA Junior Visiting Program (deadline: 10 Jan 2014)
PhD in Applied Mathematics University of Münster (deadline: 31 Jan 2014)

Forthcoming Events

26 - 31 Jan 2014: XXIV Convegno Nazionale di Calcolo delle Variazioni Levico Terme
10 - 14 Feb 2014: Winter School Wuerzburg, February 10-14, 2014 Wuerzburg, Bavaria, Germany
20 - 21 Feb 2014: Workshop on Partial Differential Equations and Applications University of Pisa
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
10 - 14 Jun 2014: Recent advances in non-local and non-linear analysis: theory and applications ETH, Zuerich
23 - 27 Jun 2014: NetCO 2014 - Conference on "New Trends in Optimal Control", Tours, France

Recently Added Papers

S. Racca (Phd Thesis)
Some models of crack growth in brittle materials (2013)
E. Chiodaroli - O. Kreml (Submitted Paper)
On the energy dissipation rate of solutions to the compressible isentropic Euler system (2013)
R. Magnanini - M. Marini (Submitted Paper)
Characterization of ellipsoids as $K$-dense sets (2013)
M. Marini - B. Ruffini (Submitted Paper)
On a class of weighted Gauss-type isoperimetric inequalities and applications to symmetrization (2013)
F. Prinari - N. Ansini (Accepted Paper: SIAM J MATH ANAL)
Power-law approximation under differential constraints (2013)
S. Fornaro - G. Metafune - D. Pallara - J. Pr\"uss (J. Math. Pures Appl.)
$L^p$-theory for some elliptic and parabolic problems with first order degeneracy at the boundary (2007)
S. Fornaro - G. Metafune - D. Pallara (Note Mat.)
Analytic semigroups generated in $L^p$ by elliptic operators with high order degeneracy at the boundary (2011)
S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (J. Diff. Eq.)
Degenerate operators of Tricomi type in $L^p$-spaces and in spaces of continuous functions (2012)
S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (J. Math. Anal. Appl.)
One-dimensional degenerate operators in $L^p$-spaces (2013)
S. Fornaro - G. Metafune - D. Pallara - R. Schnaubelt (Submitted Paper)
Second order elliptic operators in $L^2$ with first order degeneration at the boundary and outward pointing drift (2013)
D. Bucur - D. Mazzoleni - A. Pratelli - B. Velichkov (Preprint)
Lipschitz regularity of the eigenfunctions on optimal domains (2013)
M. Petrache (Preprint)
A singular radial connection over B⁵ minimizing the Yang-Mills energy (2013)

Recently Modified Papers

C. Mantegazza - G. Mascellani - G. Uraltsev (Accepted Paper: Pacific J. of Math.)
On the Distributional Hessian of the Distance Function (2013)
R. Alicandro - N. Ansini (Accepted Paper: Math. Mod. Meth. Appl. Sci. (M3AS))
A variational model of interaction between continuum and discrete systems (2013)
R. Magnanini - M. Marini
Characterization of ellipses as uniformly dense sets with respect to a family of convex bodies (2013)
E. Chiodaroli - E. Feireisl - O. Kreml (Accepted Paper)
On the weak solutions to the equations of a compressible heat conducting gas (2013)
T. Kuusi - G. Mingione (Submitted Paper: Bull. Math. Sci.)
Guide to Nonlinear Potential Estimates (2013)
J. F. Babadjian - F. Prinari - E. Zappale (DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS)
Dimensional reduction for supremal functionals (2012)
A. Chambolle - M. Goldman - M. Novaga (Submitted Paper)
Fine properties of the subdifferential for a class of one-homogeneous functionals (2012)
T. T. Shieh - D. Spector (Submitted Paper)
On a new class of fractional partial differential equations (2013)
F. Solombrino (Arch. Rat. Mech. Anal.)
Quasistatic evolution in perfect plasticity for general heterogeneous materials. (2013)
G. Scilla (Phd Thesis)
Variational motion of discrete interfaces (2013)
L. Ambrosio - G. Da Prato - B. Goldys - D. Pallara (Comm. P. D. E. )
Bounded variation with respect to a log-concave measure (2012)
M. Miranda Jr - M. Novaga - D. Pallara (Accepted Paper: Advanced Studies in Pure Mathematics)
An introduction to BV functions in Wiener spaces (2013)
D. Bucur - G. Buttazzo - B. Velichkov (Ann. Inst. H. Poincare' Anal. Non Lineaire)
Shape Optimization Problems with Internal Constraint (2013)
D. Barilari (Journal of Mathematical Science)
Trace heat kernel asymptotics in 3D contact sub-Riemannian geometry (2013)
A. Braides - B. Cassano - A. Garroni - D. Sarrocco (Preprint)
Evolution of damage in composites: the one-dimensional case (2013)
G. Catino - A. Deruelle - L. Mazzieri (Submitted Paper)
Uniqueness of asymptotically cylindrical gradient shrinking Ricci solitons (2013)
B. Ruffini (Accepted Paper: Revista Matemática Complutense)
Stability theorems for GNS inequalities: a reduction principle to the radial case (2012)
T. Buckmaster - C. De Lellis - L. J. Sz\'ekelyhidi (Preprint)
Transporting microstructure and dissipative Euler flows (2013)
E. Kuwert - A. Mondino - J. Schygulla (Accepted Paper: Math. Annalen)
Existence of immersed spheres minimizing curvature functionals in compact 3-manifolds (2011)
L. Ambrosio - E. Paolini (Ricerche di Matematica)
Partial regularity for quasi minimizers of perimeter (1999)
G. De Philippis - A. Figalli (Accepted Paper: Arch. Ration. Mech. Anal.)
Higher integrability for minimizers of the Mumford-Shah functional (2013)
R. Scala - N. Van Goethem (Preprint)
Constraint Reaction for Continuum Dislocations (2013)
B. Ruffini (Ph.d. Thesis)
Optimization problems for solutions of elliptic equations and stability issues (2013)
M. Petrache - T. Riviere (Geometric and Functional Analysis)
Weak closure of Singular Abelian $L^p$-bundles in $3$ dimensions (2011)
M. Petrache ( Advances in Calculus of Variations)
An integrability result for $L^p$-vectorfields in the plane (2013)
M. Petrache (Accepted Paper)
Interior partial regularity for minimal $L^p$-vectorfields with integer fluxes (2012)
D. Bourne - M. A. Peletier - S. M. Roper (Submitted Paper)
Hexagonal patterns in a simplified model for block copolymers (2013)
L. Brasco - G. Franzina (NoDEA)
An anisotropic eigenvalue problem of Stekloff type and weighted Wulff inequalities (2012)
G. Franzina - P. Lindqvist (Nonlinear Analysis)
An eigenvalue problem with variable exponents (2013)

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