G. Alberti:
Distributional Jacobian and singularities of Sobolev maps
Ricerche Mat. Vol. 54, N. 2, p. 375-394, 2005

G. Alberti:
Geometric Measure Theory
2005

G. Alberti, S. Baldo, G. Orlandi:
Variational convergence for functionals of Ginzburg-Landau type
Indiana Univ. Math. J. Vol. 54, N. 5, p. 1411-1472, 2005

G. Alberti, M. Csörnyei, A. Pelczynski, D. Preiss:
BV has the bounded approximation property
J. Geom. Anal. Vol. 15, N. 1, p. 1-7, 2005

G. Alberti, M. Csörnyei, D. Preiss:
Structure of null sets in the plane and applications
2005

G. Alberti, A. DeSimone:
Wetting of rough surfaces: a homogenization approach
Proc. R. Soc. Lond. Ser. A Math. Phys. Eng. Sci. Vol. 461, p. 79-97, 2005

R. Alicandro, A. Braides, M. Cicalese:
$L^\infty$ energies on discontinuous functions
Discrete and Continuous Dynamical Systems Vol. 12, p. 905-928, 2005

M. Amar, D. Andreucci, P. Bisegna, R. Gianni:
Existence and uniqueness for an elliptic problem with evolution arising in electrodynamics
Nonlinear Analysis - Real Word Applications Vol. 6, p. 367-380, 2005

M. Amar, A. Dall'Aglio, F. Paronetto:
Homogenization of changing-type evolution equations 
Convex Analysis Vol. 12, N. 1, p. 221-237, 2005

M. Amar, A. Dall'Aglio, F. Paronetto:
Homogenization of forward-backward parabolic equations
Asymptotic Analysis Vol. 42, N. 1,2, p. 123-132, 2005

M. Amar, V. De Cicco:
A new approximation result for BV-functions
C.R. Acad. Sci. Paris 2005

L. Ambrosio:
Steepest descent flows and applications to spaces of probability measures
(Accepted Paper) 2005

L. Ambrosio:
Transport equation and Cauchy problem for non-smooth vector fields 
(Preprint) 2005

L. Ambrosio, G. Crippa, S. Maniglia:
Traces and fine properties of a $BD$ class of vector fields and applications
Ann. Fac. Sci. Toulouse Math. (6) Vol. 14, N. 4, p. 527-561, 2005

L. Ambrosio, H. Frid:
Multiscale Young measures in almost periodic homogenization and applications
(Submitted Paper) 2005

L. Ambrosio, W. Gangbo:
Hamiltonian ODE's in the Wasserstein space of probability measures
(Submitted Paper) 2005

L. Ambrosio, M. Lecumberry, S. Maniglia:
Lipschitz regularity and approximate differentiability of the DiPerna-Lions flow
(Submitted Paper) 2005

L. Ambrosio, J. Malý:
Very weak notions of differentiability
(Submitted Paper) 2005

Z. Balogh, S. Buckley:
Sphericalization and flattening
Conformal Geometry and dynamics Vol. 9, p. 76-101, 2005

Z. Balogh, J. Tyson:
Hausdorff dimensions of self-similar and self-affine fractals in the Heisenberg group
Proc. London Math. Soc. Vol. 95, N. 3, p. 153-183, 2005

L. Barletti, F. Dragoni:
An inverse problem for two-frequency photon transport in a slab
Math. Models Methods Appl. Sci. Vol. 28, N. 14, p. 1695-1714, 2005

Z. Belhachmi, D. Bucur, G. Buttazzo, J. M. Sac-Epée:
Shape optimization problems for eigenvalues of elliptic operators
(Preprint) 2005

G. Bellettini, V. Caselles, M. Novaga:
Explicit solutions of the eigenvalue problem $- {\rm div} \left( Du/ \vert Du \vert \right) = u$
SIAM J. Math. Anal. Vol. 36, p. 1095-1129, 2005

G. Bellettini, B. Dacorogna, G. Fusco, F. Leonetti:
Qualitative properties of Lipschitz solutions of eikonal type systems
Adv. Math. Sci. Appl. (Accepted Paper) 2005

G. Bellettini, A. De Masi, E. Presutti:
Tunnelling in nonlocal evolution equations
J. Nonlin. Math. Phys. Vol. 12, N. 1, p. 50-63, 2005

G. Bellettini, L. Mugnai:
On the approximation of the elastica functional in radial symmetry
Calc. Var. Partial Differential Equations Vol. 24, p. 1-20, 2005

G. Bellettini, M. Novaga, E. Paolini:
Global solutions to the gradient flow equation of a nonconvex  functional
SIAM J. on Math. Anal. Vol. 37, N. 5, p. 1657-1687, 2005

E. Berchio, F. Gazzola:
Best constants and minimizers for embeddings of second order Sobolev spaces
(Accepted Paper) 2005

E. Berchio, F. Gazzola, E. Mitidieri:
Positivity preserving property for a class of biharmonic elliptic problems
(Submitted Paper) 2005

F. Bethuel, G. Orlandi, D. Smets:
Collisions and phase-vortex interactions in dissipative Ginzburg-Landau dynamics
Duke Math. J. Vol. 130, N. 3, p. 523-614, 2005

F. Bethuel, G. Orlandi, D. Smets:
Improved estimates for the Ginzburg-Landau equation: the elliptic case
Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) Vol. 4, N. 2, p. 319-355, 2005

G. Bouchitté, T. Champion, C. Jimenez:
Completion of the space of measures in the Kantorovich norm
Riv. Mat. Univ. Parma Vol. 7, p. 127--139, 2005

A. Braides, V. Chiadò Piat:
Another brick in the wall
(Conference Proceeding) 2005

A. Brancolini, G. Buttazzo:
Optimal Networks For Mass Transportation Problems
ESAIM Control Optim. Calc. Var. Vol. 11, N. 1, p. 88-101, 2005

A. Briani:
Sequences of L inftnity optimal control problems: Gamma-convergence and Hamilton-Jacobi equations 
Asymptotic Analysis Vol. 45, N. 3-4, p. 171-190, 2005

A. Briani, A. Davini:
Monge solutions for discontinuous Hamiltonians
ESAIM: Control Opt. Calc. Var. Vol. 11, p. 229-251, 2005

A. Briani, F. Rampazzo:
A density approach to Hamilton-Jacobi equations with t-measurable Hamiltonians,
NoDEA-Nonlinear Differential equations and Applications Vol. 12, N. 1, p. 71-92, 2005

G. Buttazzo, M. O. Rieger:
Variational problems for functionals involving the value distribution
(Preprint) 2005

G. Buttazzo, F. Santambrogio:
A Model for the Optimal Planning of an Urban Area
SIAM J. Math. Anal. Vol. 37, N. 2, p. 514-530, 2005

G. Buttazzo, E. Stepanov:
Transport density in Monge-Kantorovich problems with Dirichlet conditions
Discrete Contin. Dyn. Syst.  Vol. 12, N. 4, p. 607-628, 2005

G. Buttazzo, N. Varchon:
On the Optimal Reinforcement of an Elastic Membrane
(Preprint) 2005

P. Cardaliaguet, F. Prinari:
Supremal representation of $L^{\infty}$ functionals
Appl. Math. Optim. 2005

G. Carlier, F. Santambrogio:
A Variational Model for Urban Planning with Traffic Congestion
ESAIM: COCV Vol. 11, N. 4, p. 595-613, 2005

M. Carozza, G. Moscariello, A. Passarelli di Napoli:
Regularity results via duality for minimizers of degenerate functionals
Asympt. Anal. Vol. 44, p. 221-235, 2005

M. Carozza, A. Passarelli di Napoli:
Model problems from nonlinear elasticity: partial regularity results
ESAIM: COCV (Accepted Paper) 2005

D. Castorina, F. Pacella:
Symmetry of positive solutions of an almost-critical problem in an annulus
Calculus of Variations and Partial Differential Equations () 2005

P. Cermelli, G. Leoni:
Energy and Forces on Dislocations
SIAM J. Math. Anal. Vol. 37, N. 4, p. 1131-1160 , 2005

R. Chill, E. Fasangova, G. Metafune, D. Pallara:
The sector of analyticity of the Ornstein-Uhlenbeck semigroup on $L^p$ spaces with respect to invariant measure
The Journal of the London Mathematical Society Vol. 71, p. 703-722, 2005

D. Cioranescu, A. Damlamian, R. De Arcangelis:
Homogenization of Quasiconvex Integrals via the Periodic Unfolding Method
SIAM J. Math. Anal. (Accepted Paper) 2005

S. Conti, D. Faraco, F. Maggi:
A new approach to counterexamples to $L^1$ estimates: Korn's inequality, geometric rigidity and regularity for gradients of separately convex functions
Arch. Ration. Mech. Anal. Vol. 175, N. 2, p. 287-300, 2005

S. Conti, D. Faraco, F. Maggi, S. Müller:
Rank-one convex functions on 2x2 symmetric matrices and laminates on rank-three lines
Calc. Var. Partial Differential Equations Vol. 24 , N. 4, p. 479-493, 2005

S. Conti, F. Maggi:
Confining thin elastic sheets and folding paper
Archive for Rational Mechanics and Analysis (Accepted Paper) 2005

G. Crasta, I. Fragalà, F. Gazzola:
On a long-standing conjecture by Pólya-Szegö and related topics
Zeit. Angew. Math. Phys. Vol. 56, N. 5, p. 763-782, 2005

G. Crasta, I. Fragalà, F. Gazzola:
On the role of energy convexity in the web function approximation
NODEA Vol. 12, N. 1, p. 93-109, 2005

G. Crasta, A. Malusa:
On the existence and uniqueness of minimizers for a class of integral functionals. 
NoDEA Nonlinear Differential Equations Appl. Vol. 12, p. 129-150, 2005

G. Cupini, E. Mascolo:
Existence of minimizers for polyconvex and nonpolyconvex problems
SIAM J. Control Optim. Vol. 44, N. 4, p. 1370-1390, 2005

L. D'Onofrio, F. Giannetti, L. Greco:
On Weak Hessian Determinants
(Accepted Paper) 2005

G. Dal Maso, G. A. Francfort, R. Toader:
Quasistatic crack growth in nonlinear elasticity
Arch. Ration. Mech. Anal. Vol. 176, p. 165-225, 2005

A. Davini:
On the relaxation of a class of functionals defined on Riemannian distances
J. Convex Anal. Vol. 12, N. 1, p. 113130, 2005

A. Davini:
Smooth approximation of weak Finsler metrics
Adv. Differential Equations Vol. 18, N. 8, p. 509-530, 2005

R. De Arcangelis, E. Zappale:
On the Relaxation of Variational Integrals with Pointwise Continuous-Type Gradient Constraints
Appl. Math. Optim. Vol. 51, p. 251-277, 2005

V. De Cicco, N. Fusco, A. Verde:
A chain rule formula in BV and application to lower semicontinuity
(Calc.Var. Partial Differential Equations) 2005

V. De Cicco, N. Fusco, A. Verde:
On L^1 lower semicontinuity in BV
(J. of Convex Analysis) 2005

S. Delladio:
A result about C^3-rectifiability of Lipschitz curves
Pacific J. Math. (Accepted Paper) 2005

A. Ferrero, F. Gazzola, T. Weth:
Positivity, symmetry and uniqueness for minimizers of second order Sobolev inequalities
Ann. Mat. Pura Appl. (Accepted Paper) 2005

A. Ferriero:
The approximation of higher-order integrals of the calculus of variations and the Lavrentiev phenomenon
SIAM J. Control Optim. Vol. 44, N. 1, p. 99-110, 2005

A. Ferriero, E. Marchini:
On the validity of the Euler-Lagrange equation
J. Math. Anal. Appl. Vol. 304, N. 1, p. 356-369, 2005

I. Fonseca, G. Leoni, J. Malý:
Weak continuity and lower semicontinuity results for determinants
Arch. Ration. Mech. Anal. Vol. 178, N. 3, p. 411-448, 2005

I. Fonseca, G. Leoni, R. Paroni:
On Hessian Matrices in the Space $BH$
Commun. Contemp. Math. Vol. 7, N. 4, p.  401-420, 2005

I. Fragalà, M. S. Gelli, A. Pratelli:
Continuity of an optimal transport in Monge problem
JMPA Vol. 84, N. 9, p. 1261-1294, 2005

B. Franchi, R. Serapioni, F. Serra Cassano:
Intrinsic submanifolds, graphs and currents in Heisenberg groups
Lectures Notes of Seminario Interdisciplinare di Matematica Vol. 4, p. 23-38, 2005

A. Garroni, S. Mueller:
$\Gamma$-limit of a phase-field model of dislocations
SIAM Math. Anal. Vol. 36, N. 6, p. 1943-1964, 2005

F. Gazzola:
No geometric approach for general overdetermined elliptic problems with nonconstant source
(Submitted Paper) 2005

F. Gazzola, H. C. Grunau:
Radial entire solutions for supercritical biharmonic equations
Math. Annal. (Accepted Paper) 2005

M. Ghisi, M. Gobbino:
Gradient estimates for the Perona-Malik equation
Math. Ann. (Accepted Paper) 2005

M. Ghisi, M. Gobbino:
The monopolist's problem: existence, relaxation and approximation
 Calc. Var. Partial Differential Equations  Vol. 24, N. 1, p. 111-129, 2005

A. Giacomini:
Ambrosio-Tortorelli approximation of quasi-static evolution of brittle fractures
Calc. Var. Partial Differential Equations Vol. 22, p. 129-172, 2005

A. Giacomini:
Size effects on quasistatic growth of fractures
SIAM J. Math. Anal. Vol. 36, p. 1887-1928, 2005

F. Giannetti, A. Passarelli di Napoli:
Isoperimetric type inequalities for differential forms on manifolds
Indiana University Math. Journal Vol. 54, N. 5, p. 1483-1498, 2005

F. Giannetti, A. Passarelli di Napoli:
On Very Weak Solutions of Degenerate p-Harmonic Equations 
NoDEA (Accepted Paper) 2005

M. Giaquinta, D. Mucci:
$W^{1/2}$-maps into $S^1$ and currents
Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. (5) Vol. 29, N. 1, p. 183-206, 2005

M. Giaquinta, D. Mucci:
Density results for the $ W^{1/2}$ energy of maps into a manifold
Mathematische Zeitschrift Vol. 251, p. 535-549, 2005

M. Giaquinta, D. Mucci:
On sequences of maps into a manifold with equibounded $W^{1/2}$-energies
J. Funct. Anal. Vol. 225, p. 94-146, 2005

M. Giaquinta, D. Mucci:
The relaxed Dirichlet energy of mappings into a manifold
Calc. Var. Vol. 24, N. 2, p. 155-166, 2005

M. Gori, F. Maggi:
The common root of the geometric conditions in Serrin's lower semicontinuity theorem
Ann. Mat. Pura Appl. (4) Vol. 184, N. 1, p. 95-114, 2005

L. Granieri:
Mass Transportation Problems and Minimal Measures
(Ph.D. Thesis) 2005

D. Graziani:
A new $L^1$ - lower semicontinuity result
(Accepted Paper) 2005

R. Hladky, S. Pauls:
Minimal surfaces in the roto-translation group with applications to a neuro-biological image completion model
(Submitted Paper) 2005

P. Juutinen, G. Lu, J. Manfredi, B. Stroffolini:
"Convex functions on Carnot groups "
Revista Matematica Iberoamericana (Accepted Paper) 2005

H. Koch, G. Leoni, M. Morini:
On optimal regularity of free boundary problems and a conjecture of De Giorgi
Communications on Pure and Applied Mathematics Vol. 58, p. 1051-1076, 2005

G. P. Leonardi, S. Masnou:
On the isoperimetric problem in the Heisenberg group ${\mathbf{H^n}}$
Annali di Mat. Pura Appl. Vol. 184, p. 533-553, 2005

C. Leone, A. Passarelli di Napoli, A. Verde:
LIPSCHITZ REGULARITY FOR SOME ASYMPTOTICALLY SUBQUADRATIC PROBLEMS
Nonlinear analysis (Accepted Paper) 2005

A. Lunardi, G. Metafune, D. Pallara:
Dirichlet Boundary Conditions for Elliptic Operators with Unbounded Drift
Proc. Amer. Math. Soc.  Vol. 133 and 134, p. 2625-2635, 2479-2480, 2005

F. Maggi, C. Villani:
Balls Have the Worst Best Sobolev Inequalities
J. Geom. Anal. Vol. 15, N. 1, p. 83-121, 2005

V. Magnani:
Differentiability from representation formula and Sobolev-Poincarè inequality 
Studia Math. Vol. 168, N. 3, p. 251-272, 2005

V. Magnani:
The coarea formula for real-valued Lipschitz maps on stratified groups
Math. Nachr.  Vol. 278 , N. 14, p. 1689-1705, 2005

A. Malusa:
A new proof of the stability of renormalized solutions to elliptic equations with measure data.
Asymptotic Anal. Vol. 43, p. 111-129, 2005

S. Maniglia:
Probabilistic representation and uniqueness results for measure-valued solutions of transport equations
(Submitted Paper) 2005

G. Metafune, D. Pallara, J. Prüss, R. Schnaubelt:
$L^p$ -THEORY FOR ELLIPTIC OPERATORS ON $R^d$ WITH SINGULAR COEFFICIENTS
Zeitschrift fur Analysis und ihre Anwendungen Vol. 24, p. 497-521, 2005

G. Metafune, D. Pallara, A. Rhandi:
Global Properties of Invariant Measures
J. Funct. Anal. Vol. 223, p. 396-424, 2005

G. Metafune, D. Pallara, V. Vespri:
$L^p$-estimates for a class of elliptic operators with unbounded coefficients in ${\mathbb R}^n$
Houston J. Math. Vol. 31, p. 605-620, 2005

M. Miranda Jr, E. Pascali:
On a class of differential equations with self-reference
Rend. Mat. Appl. Vol. (7) 25, N. 2, p. 155-164, 2005

R. Monti:
Sobolev inequalities for weighted gradients
Comm. Part. Diff. Eq. (Accepted Paper) 2005

R. Monti, D. Morbidelli:
Kelvin transform for Grushin operators and critical semilinear equations
Duke Math. J. (Accepted Paper) 2005

G. Moscariello, C. Sbordone:
Optimal Lp-properties of Green's functions for non-divergence elliptic equations in two dimensions
Studia Mathematica Vol. 168, N. 2, p. 133-141, 2005

D. Mugnai:
Asymptotic behaviour, nodal lines and symmetry properties for solutions of superlinear elliptic equations near an eigenvalue
ESAIM:COCV Vol. 11, N. 4, p. 508-521, 2005

M. Negri:
A discontinuous finite element approach for the approximation of free discontinuity problems
Adv. Math. Sci. Appl.  Vol. 15, p. 283-306, 2005

M. Novaga, E. Paolini:
Regularity results for boundaries in ${\mathrm R}^2$ with prescribed anisotropic curvature
Annali di Matematica pura e Applicata Vol. 184, N. 2, p. 239-261, 2005

M. Novaga, E. Paolini:
Stability of Crystalline Evolutions
Math. Mod. Meth. Appl. Sc. Vol. 15, N. 6, p. 1-17, 2005

D. Percivale, F. Tomarelli:
From Special Bounded Deformation to Special Bounded Hessian: The Elastic-Plastic Beam
Mathematical Models & Methods in Applied Sciences Vol. 15, N. 7, p. 1009-1058, 2005

A. Pratelli:
Equivalence between some definitions for the optimal mass transport problem and for the transport density on manifolds
Ann. Mat. Pura Appl. Vol. 184, N. 2, p. 215-238, 2005

A. Pratelli:
How to show that some rays are maximal transport rays in Monge problem
Rend. Sem. Mat. Univ. Padova Vol. 113, 2005

A. Pratelli:
On the equality between Monge's infimum and Kantorovich's minimum in optimal mass transportation
Ann. Inst. H. Poincare' Probab. Statist. 2005

R. Rossi, G. Savaré:
Gradient flows of non convex functionals in Hilbert spaces and applications
ESAIM: COCV (Accepted Paper) 2005

F. Santambrogio, P. Tilli:
Blow-up of Optimal Sets in the Irrigation Problem
J. Geom. Anal. Vol. 15, N. 2, p. 343-362, 2005

G. Scianna, P. Tilli:
A variational  approach to the Hele--Shaw flow with injection
Communications in Partial Differential Equations Vol. 30, p. 1359-1378, 2005

B. Stroffolini:
"Homogenization of Hamilton-Jacobi Equations in Carnot Groups "
COCV (Accepted Paper) 2005