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Ambrosio: Fine properties of sets of finite perimeter in doubling metric measure spaces Set Valued Analysis Vol. 10, p. 111-128, 2002 L. Ambrosio, B. Kirchheim, M. Lecumberry, T. Rivière: On the rectifiability of defect measures arising in a micromagnetics model p. 29-60, 2002 L. Ambrosio, M. Lecumberry, T. Rivière: A viscosity property of minimizing micromagnetic configurations Communications on Pure and Applied Mathematics (Accepted Paper) 2002 L. Ambrosio, S. Masnou: A direct variational approach to a problem arising in image reconstruction Interfaces and Free Boundaries (Accepted Paper) 2002 L. Ambrosio, M. Novaga, E. Paolini: Some Regularity Results for Minimal Crystals ESAIM: COCV volume dedicated to J. L. Lions Vol. 8, N. 69--103, 2002 L. Ambrosio, A. Pratelli: Existence and stability results in the $L^1$ theory of optimal transportation 2002 L. Ambrosio, S. Rigot: Optimal Mass Transportation in the Heisenberg Group Journal of Functional Analysis (Accepted Paper) 2002 N. Ansini, A. Braides: Asymptotic analysis of periodically-perforated nonlinear media J. Math. Pures Appl. Vol. 81, p. 439-451, 2002 N. Ansini, A. Braides, V. Chiadò Piat: Interaction between homogenization and phase-transition processes. Proc. Steklov. Math. Inst. Vol. 236, p. 373-385, 2002 G. Bellettini, V. Caselles, M. Novaga: The Total Variation Flow in $R^N$ J. Differential Equations Vol. 184, N. 2, p. 475-525, 2002 G. Bellettini, G. F. Gronchi: Barriers for systems of ordinary differential equations: an application to the two-body problem Rend. Atti Acc. Naz. Sci. XL Mem. Mat. Vol. XXVI, p. 145-160, 2002 M. Belloni, B. Kawohl: A direct uniqueness proof for equations involving the $p$-Laplace operator manuscripta mathematica Vol. 109, N. 2, 2002 F. Bethuel, G. Orlandi: Uniform estimates for the parabolic Ginzburg-Landau equation ESAIM, C.O.C.V. N. 8, p. 219-238, 2002 K. Bhattacharya, A. Braides: Thin films with many small cracks Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences Vol. 458, p. 823-840, 2002 B. Bianconi, M. Focardi, E. Mascolo: Existence of minimizers for a class of quasiconvex functionals with non standard growth Ann. Matematica Pura e Applicata Vol. 4, N. 180, p. 493-510, 2002 G. Bouchitté, G. Buttazzo, I. Fragalà: Bounds for the effective coefficients of homogenized low dimensional structures J. Math. Pures Appl. Vol. 81, N. 5, p. 453-469, 2002 G. Bouchitté, I. Fragalà: Homogenization of elastic thin structures: a measure-fattening approach J. Convex Anal. Vol. 9, N. 2, p. 1-24, 2002 G. Bouchitté, I. Fragalà: Variational theory of weak geometrical structures: the measure method and its applications ``Variational Methods for Discontinuous Structures'', PNLDE, Birkhauser Vol. 51, p. 19-40, 2002 G. Bouchitté, C. Jimenez, R. Mahadevan: Asymptotique d'un problème de positionnement optimal. C.R. Math. Acad. Sci. Paris Vol. 10, p. 853--858, 2002 A. Braides: Discrete approximation of functionals with jumps and creases Conference `Homogenization and Multiple Scales', Naples, 2001. (Conference Proceeding) 2002 A. Braides: Gamma-convergence for Beginners Oxford University Press, Oxford (Book) 2002 A. Braides, G. Buttazzo, I. Fragalà: Riemannian approximation of Finsler metrics Asymptotic Anal. Vol. 31, N. 2, p. 177-187, 2002 A. Braides, A. Defranceschi, E. Vitali: Relaxation of elastic energies with free discontinuities and constraints on the strain Ann. Scuola Norm. Sup. Pisa (V) Vol. 1, p. 275-317, 2002 A. Braides, M. S. Gelli: Continuum limits of discrete systems without convexity hypotheses. Math. Mech. Solids Vol. 7, p. 41-66, 2002 A. Braides, M. S. Gelli: Limits of discrete systems with long-range interactions. J. Convex Anal. Vol. 9, p. 363-399, 2002 A. Braides, M. S. Gelli, M. Sigalotti: The passage from non-convex discrete systems to variational problems in Sobolev spaces: the one-dimensional case Proc. Steklov. Math. Inst. Vol. 236, p. 395-414, 2002 A. Braides, A. Malchiodi: Curvature theory of boundary phases: the two-dimensional case Interfaces and Free Boundary Vol. 4, p. 345-370, 2002 A. Briani: Notes on viscosity solution for partial differential equation (Lecture Notes) 2002 G. Buttazzo, E. Oudet, E. Stepanov: Optimal transportation problems with free Dirichlet regions Progress in Nonlinear Diff. Equations and their Applications Vol. 51, p. 41-65, 2002 G. Buttazzo, B. Schweizer: $\Gamma$ convergence of Hausdorff measures (Submitted Paper) 2002 C. Capone, L. Greco, T. Iwaniec: Higher Integrability via Riesz Transforms and Interpolation Nonlinear Analysis Vol. 49, p. 513-523, 2002 L. Carbone, D. Cioranescu, R. De Arcangelis, A. Gaudiello: Homogenization of Unbounded Functionals and Nonlinear Elastomers. The General Case Asymptotic Analysis Vol. 29, p. 221-272, 2002 M. Carozza, G. Moscariello, A. Passarelli di Napoli: Nonlinear equations with growth coefficients in BMO Houston Journal of Mathematics Vol. 28, N. 4, p. 917-929, 2002 M. Carriero, A. Leaci, F. Tomarelli: Local Minimizers for a Free Gradient Discontinuity Problem in Image Segmentation Progress in Nonlinear Differential Equations and Their Appl., Birkhauser Vol. 51, p. 67-81, 2002 M. Carriero, A. Leaci, F. Tomarelli: Necessary Conditions for Extremals of Blake & Zisserman Functional C. R. Math. Acad. Sci. Paris, Vol. 334, p. 343-348, 2002 C. Cavaterra, F. Colombo: Automatic control problems for reaction diffusion systems J. Evolution Equations Vol. 2, p. 241-273, 2002 M. Chlebik, A. Cianchi, N. Fusco: The perimeter inequality for Steiner symmetrization: cases of equality (Submitted Paper) 2002 F. Colombo: An inverse problem for a generalized Kermack-McKendrick model J. Inverse and Ill-posed Problems Vol. 10, p. 221-241, 2002 F. Colombo, S. Frank, I. Sabadini, D. Struppa: Syzygies and conservation laws Foundations of Physics Letters Vol. 15, p. 507-522, 2002 F. Colombo, M. Giuli, V. Vespri: A Semigroup Approach to No-Arbitrage Pricing Theory: Constant Elasticity Variance Model and TermStructure Models Proceeding of ''Evolution Equations 2000'' (Accepted Paper) 2002 F. Colombo, D. Guidetti: A unified approach to nonlinear intergodifferential inverse problems of parabolic type Zeitschrift fur Analysis und ihre Anwendugen Vol. 21, p. 431-464, 2002 F. Colombo, D. Guidetti, A. Lorenzi: Elliptic equations in non-smooth plane domains with an application to a parabolic problem Advances in Differential Equations Vol. 7, p. 695-716, 2002 S. Conti, I. Fonseca, G. Leoni: A $\Gamma$-convergence result for the two-gradient theory of phase transitions Comm. Pure Appl. Math. Vol. 55, N. 7, p. 857-936, 2002 A. Coscia, D. Mucci: Integral representation and $\Gamma$-convergence of variational integrals with $p(x)$-growth ESAIM:COCV Vol. 7, p. 495-519, 2002 G. Crasta, I. Fragalà, F. Gazzola: A sharp upper bound for the torsional rigidity of rods by means of web functions Arch. Rational Mech. Anal. Vol. 164, N. 3, p. 453-469, 2002 D. Cruz-Uribe, A. Fiorenza: Endpoint estimates and weighted norm inequalities for commutators of fractional integrals Publicacions Matematiques (Accepted Paper) 2002 D. Cruz-Uribe, A. Fiorenza: The $A_\infty$ property for Young functions and weighted norm inequalities Houston J. Math Vol. 28, N. 1, p. 169-182, 2002 D. Cruz-Uribe, A. Fiorenza, C. J. Neugebauer: The maximal function on variable $L^p$ spaces Annales Academiae Scientiarum Fennicae (Accepted Paper) 2002 L. D'Onofrio, L. Greco: On the Regularity of Solutions to a Nonvariational Elliptic Equation Annales de la Faculte des Sciences de Tolouse Vol. XI, N. 1, p. 47-56, 2002 G. Da Prato, V. Vespri: Maximal $L^p$ regularity for elliptic equations with unbounded coefficients Non Linear Analysis Vol. 49, p. 747-755, 2002 G. Dal Maso, M. Negri, D. Percivale: Linearized elasticity as $\Gamma\mbox{-limit}$ of finite elasticity Set-Valued Anal. Vol. 10, p. 165-183, 2002 G. Dal Maso, R. Toader: A model for the quasi-static growth of brittle fractures based on local minimization Math. Models Methods Appl. Sci. Vol. 12, p. 1773-1800, 2002 G. Dal Maso, R. Toader: A model for the quasi-static growth of brittle fractures: existence and approximation results Arch. Rational Mech. Anal. Vol. 162, p. 101-135, 2002 G. Dal Maso, F. Tomarelli: Variational Methods for Discontinuous Structures PNLDE , Birkhauser, Basel, Boston, Berlin (Proc. Intl Workshop VARMET2001 , Villa Erba , (2001)) Vol. 51, 2002 A. Dall'Aglio, D. Giachetti, J. P. Puel: Nonlinear elliptic equations with natural growth in general domains Annali di Matematica Pura e Applicata Vol. 181, p. 407-426, 2002 A. Dall'Aglio, E. Mascolo: $L^{\infty }$ estimates for a class of nonlinear elliptic systems Atti del Seminari Matematico e Fisico Università di Modena. 2002 D. Danielli: A singular perturbation approach to a two phase parabolic free boundary problem arising in combustion theory (Submitted Paper) 2002 D. Danielli, N. Garofalo, D. M. Nhieu: Minimal surfaces, surfaces of constant mean curvature and isoperimetry in Carnot groups (Preprint) 2002 D. Danielli, N. Garofalo, D. M. Nhieu: Notions of convexity in Carnot groups Communications in Analysis and Geometry (Accepted Paper) 2002 D. Danielli, N. Garofalo, D. M. Nhieu: On the best possible character of the $L^Q$ norm in some a priori estimates for non-divergence form equations in Carnot groups Proc. of the Amer. Math. Soc. (Accepted Paper) 2002 R. De Arcangelis: Homogenization of Dirichlet Minimum Problems with Conductor Type Periodically Distributed Constraints "Nonlinear Partial Differential Equations and Their Applications, Collége de France Seminar, Volume XIV, Doina Cioranescu and Jacques-Louis Lions Editors" Vol. 31, p. 243-271, 2002 C. De Lellis: An example in the gradient theory of phase transitions Control, Optimisation and Calculus of Variations Vol. 7, N. 12, p. 285-289, 2002 C. De Lellis: On the Jacobian of weakly differentiable maps (Ph.D. Thesis) 2002 C. De Lellis, M. Westdickenberg: On the Optimality of Velocity Averaging Lemmas Ann. Inst. Henry Poincaré Analise Non linéaire Vol. 20, p. 1075-1085, 2002 L. De Pascale, A. Pratelli: Regularity properties for Monge Transport Density and for Solutions of some Shape Optimization Problem Calc. Var. Partial Differential Equations Vol. 14, N. 3, p. 249-274, 2002 S. Delladio: Taylor's polynomials and non-homogeneous blow-ups (Submitted Paper) 2002 F. Dragoni: Trasporto di fotoni in una nube interstellare: problemi diretti e inversi (Degree Thesis) 2002 M. Drakhlin, A. Ponosov, E. Stepanov: On some classes of operators determined by the structure of their memory Proc. Edinburgh Math. Soc. Vol. 45, N. 2, p. 467-490, 2002 T. Durante, L. Faella, C. Perugia: Optimal Control for the Wave Equation in Domains with Oscillating Boundary (Preprint) 2002 A. Fiorenza: A mean continuity type result for certain Sobolev spaces with variable exponent Comm. Contemp. Math. Vol. 4, N. 3, p. 587-605, 2002 A. Fiorenza, M. Krbec: On optimal decomposition in Zygmund spaces Georgian Math. J. Vol. 9, N. 2, p. 271-286, 2002 A. Fiorenza, A. Mercaldo, J. M. Rakotoson: Regularity and uniqueness results in Grand Sobolev Spaces for parabolic equations with measure data Discrete and Continuous Dynamical Systems Vol. 8, N. 4, p. 893-906, 2002 A. Fiorenza, A. Prignet: Orlicz capacities and applications to some existence questions for elliptic PDEs having measure data ESAIM: Control, Optimisation and Calculus of Variations (Accepted Paper) 2002 A. Fiorenza, J. M. Rakotoson: Petits espaces de Lebesgue et quelques applications Comptes Rendus Acad. Sci. Vol. 334, p. 23-26, 2002 M. Focardi: Variational Approximation of Vectorial Free Discontinuity Problems: the Discrete and Continuous Case (Ph.D. Thesis) 2002 G. Follo: Construction of energies on compact subsets of $R^n$ (Submitted Paper) 2002 I. Fonseca, N. Fusco, P. Marcellini: On the total variation of the Jacobian (Preprint) 2002 I. Fonseca, E. Zappale: Multiscale Relaxation of Convex Functionals Journal of Convex Analysis Vol. 10, N. 2, p. 325-350, 2002 I. Fragalà: Homogenized thin structures: optimal bounds Proceedings of the First HMS2000 International School and Conference on Homogenization'', {\maius GAKUTO} Internat. Ser. Math. Sci. Appl., Tokyo (2003) Vol. 18, 2002 B. Franchi, R. Serapioni, F. Serra Cassano: Rectifiability and perimeter in step 2 groups Mathematica Bohemica Vol. 127, N. 2, p. 219-228, 2002 B. Franchi, R. Serapioni, F. Serra Cassano: Regular hypersurfaces, Intrinsic perimeter and implicit function theorem in Carnot groups Comm. Analysis and Geometry (Accepted Paper) 2002 L. Freddi, A. D. Ioffe: On limits of variational problems. The case of a non-coercive functional Journal of Convex Analysis Vol. 2, N. 9, p. 439-462, 2002 N. Garofalo, S. Pauls: The Bernstein problem in the Heisenberg group (Submitted Paper) 2002 A. Garroni, B. Niethammer: Correctors and error estimates in the homogenization of a Mullins-Sekerka problem Ann. Inst. H. Poincare` Anal. Nonlineaire Vol. 19, N. 4, p. 371-393, 2002 A. Giacomini: A generalization of Golab's theorem and applications to fracture mechanics Math. Models Methods Appl. Sci. Vol. 12, N. 9, p. 1245-1267, 2002 F. Giannetti: Elliptic complexes in the Calculus of Variations Diss. Math. (Accepted Paper) 2002 F. Giannetti, T. Iwaniec, J. Onninen, A. Verde: Estimates of Jacobians by subdeterminants J. Geom. Anal. Vol. 12, N. 2, p. 223-254, 2002 F. Giannetti, T. Iwaniec, J. Onninen, A. Verde: Estimates of Jacobians by subdeterminants J. Geom. Anal. Vol. 12, N. 2, p. 223-254, 2002 M. Gori, P. Marcellini: An extension of the Serrin's lower semicontinuity theorem J. Convex Anal. Vol. 9, N. 2, p. 475-502, 2002 F. Gozzi, R. Monte, V. Vespri: Generation of analytic semigroups for degenerate elliptic operators arising in financial mathematics Diff. Int Equations N. 15, p. 1085-1128, 2002 L. Greco, T. Iwaniec, U. Subramanian: Another Approach to Biting Convergence of Jacobians (Accepted Paper) 2002 L. Greco, C. Sbordone: Sharp Upper Bounds for the Degree of Regularity of the Solutions to an Elliptic Equation Communications in PDE Vol. 27, N. 5\&6, p. 945-952, 2002 G. P. Leonardi: Partitions with prescribed mean curvatures Manuscripta Math. Vol. 107, N. 1, p. 111-133, 2002 G. P. Leonardi, S. Rigot: Isoperimetric sets in Carnot groups Houston J. Math. (Accepted Paper) 2002 G. P. Leonardi, I. Tamanini: Metric spaces of partitions, and Caccioppoli partitions Adv. Math. Sci. Appl. Vol. 12, N. 2, p. 725-753, 2002 G. Lu, J. Manfredi, B. Stroffolini: Convex functions on the Heisenberg group Calculus of Variations (Accepted Paper) 2002 V. Magnani: Elements of Geometric Measure Theory on sub-Riemannian groups Collana "Tesi" (Scuola Normale Superiore) p. 208, 2002 V. Magnani: On a general coarea inequality and applications Ann. Acad. Sci. Fenn. Math. Vol. 27, p. 121-140, 2002 C. Mantegazza: Smooth Geometric Evolutions of Hypersurfaces GAFA Vol. 12, p. 138-182, 2002 G. Metafune, D. Pallara: On the location of the essential spectrum of Schroedinger operators Proc. Amer. Math. Soc. Vol. 130, p. 1779-1786, 2002 G. Metafune, D. Pallara, E. Priola: Spectrum of Ornstein-Uhlenbeck operators in $L^p$ spaces with respect to invariant measures J. Funct. Anal. Vol. 196, p. 40-60, 2002 G. Metafune, D. Pallara, M. Wacker: Compactness properties of Feller semigroups Studia Mathematica Vol. 153, p. 179-206, 2002 G. Metafune, D. Pallara, M. Wacker: Feller semigroups on ${\bf R}^N$ Semigroup Forum Vol. 65, p. 159-205, 2002 M. G. Mora: Local calibrations for minimizers of the Mumford-Shah functional with a triple junction Communications in Contemporary Mathematics Vol. 4, N. 2, p. 297-326, 2002 M. G. Mora: The calibration method for free-discontinuity problems on vector-valued maps J. Convex Anal. Vol. 9, N. 1, p. 1-29, 2002 M. Morini: Global calibrations for the non-homogeneous Mumford-Shah functional Annali dela Scuola Normale Superiore p. 34, 2002 D. Mugnai: Multiplicity of critical points in presence of a linking: application to a superlinear boundary value problem NoDEA Nonlinear Differential Equations Appl. (Accepted Paper) 2002 M. Novaga, E. Paolini: Regularity results for some $1$-homogeneous functionals Nonlinear Analysis: Real World Applications Vol. 3, N. 4, p. 555-566, 2002 F. Paronetto: Existence results for a class of evolution equations of mixed type (Submitted Paper) 2002 D. Percivale, F. Tomarelli: From SBD to SBH : the elastic-plastic plate. Interfaces and Free Boundaries Vol. 4, p. 137-165, 2002 L. Poggiolini: Implicit pdes with a linear constraint (Submitted Paper) 2002 R. Rossi, G. Savaré: Tightness-Concentration Principles and Compactness for Evolution Problems in Banach Spaces Annali Scuola Normale Superiore - Pisa (Accepted Paper) 2002 M. Solci: A Variational Model for Phase Separation (Ph.D. Thesis) 2002 E. Stepanov: Relaxation and convexity of functionals with pointwise nonlocality Proc. Amer. Math. Soc. Vol. 130, N. 2, p. 433-442, 2002 E. Stepanov: Relaxation of optimal control problems with shifted controls J. Nonlinear and Convex Anal. Vol. 3, N. 2, p. 207-230, 2002 E. Stepanov, P. Tilli: On the Dirichlet problem with several volume constraints on the level sets Proc. Royal Soc. Edinburgh - Ser. A. (Mathematics) Vol. 132, N. 2, p. 437-461, 2002 A. Verde: Regularity of Jacobians by Subdeterminants (Preprint) 2002