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Papers 2007

• A. Duci - A. C. Mennucci (preprint)
  Banach-like metrics and metrics of compact sets (2007)
• E. Acerbi - G. Bouchitté (Accepted Paper: Ann. Inst. H. Poincaré Anal. Non Linéaire)
  A General Class of Phase Transition Models with Weighted Interface Energy (2007)
• G. Alessandrini - E. Cabib (Accepted Paper: IPI)
  Determining the anisotropic traction state in a membrane (2007)
• R. Alicandro - M. Cicalese - A. Gloria (C. R. Acad. Sci. Paris, Sér. I)
  Mathematical derivation of a rubber-like stored energy functional (2007)
• R. Alicandro - A. Corbo Esposito - C. Leone (J. Convex Anal.)
  Relaxation in BV of integral functionals defined on Sobolev functions with values in the unit sphere (2007)
• F. Alter - V. Caselles (Submitted Paper: Nonlinear Analysis TMA)
  Uniqueness of the Cheeger set of a convex body (2007)
• O. Alvarez - M. Bardi (Ann. Internat. Soc. Dynam. Games)
  Ergodic problems in differential games (2007)
• O. Alvarez - M. Bardi - C. Marchi (J. Differential Equations)
  Multiscale problems and homogenization for second-order Hamilton-Jacobi equations (2007)
• M. Amar - V. De Cicco - N. Fusco (ESAIM COCV)
  A Relaxation result in BV for integral functionals with discontinuous integrands (2007)
• L. Ambrosio - A. Colesanti - E. Villa (Submitted Paper)
  One-sided Minkowski content for some classes of closed sets and applications to stochastic geometry (2007)
• L. Ambrosio - C. De Lellis - J. Malý (Perspective in nonlinear partial differential equations)
  On the chain rule for the divergence of BV like vector fields: applications, partial results, open problems (2007)
• L. Ambrosio - A. Figalli (Accepted Paper: Arch. Rat. Mech. Anal.)
  Geodesics in the space of measure-preserving maps and plans (2007)
• L. Ambrosio - A. Figalli (Accepted Paper: Calc. Var. Partial Differential Equations)
  On the regularity of the pressure field of Brenier's weak solutions to incompressible Euler equations (2007)
• L. Ambrosio - F. Santambrogio (Rend. Lincei - Mat. e Appl.)
  Necessary optimality conditions for geodesics in weighted Wasserstein spaces (2007)
• L. Ambrosio - G. Savaré - L. Zambotti (Accepted Paper: Probability Theory and Related Fields)
  Existence and Stability for Fokker-Planck equations with log-concave reference measures (2007)
• L. Ambrosio - S. Serfaty (Submitted Paper)
  A gradient flow approach to an evolution problem arising in superconductivity (2007)
• N. Ansini - J. F. Babadjian - C. I. Zeppieri (Math. Models Methods Appl. Sciences)
  The Neumann sieve problem and dimensional reduction: a multiscale approach (2007)
• N. Ansini - A. Garroni (ESAIM: Control, Optimisation and Calculus of Variations)
  $\Gamma$ -convergence of functionals on divergence-free fields (2007)
• P. Antonini - D. Mugnai - P. Pucci (J. Math. Pures Appl.)
  Quasilinear elliptic inequalities on complete Riemannian manifolds (2007)
• Z. Balogh - P. Koskela - S. Rogovin (Accepted Paper: GAFA)
  Absolute continuity continuity of quasiconformal mappings on curves (2007)
• Z. Balogh - H. Rohner (Accepted Paper: Illinois Journal of Mathematics)
  Self-similar sets in doubling spaces (2007)
• Z. Balogh - J. Tyson - B. Warhurst (Submitted Paper)
  Sub-Riemanian vs. Euclidean dimension comparison and fractal geometry on Carnot groups (2007)
• M. Barchiesi (Calc. Var. Partial Differential Equations)
  Loss of polyconvexity by homogenization: a new example (2007)
• M. Barchiesi (J. Convex Anal.)
  Multiscale homogenization of convex functionals with discontinuous integrand (2007)
• V. Barone Adesi - F. Serra Cassano - D. Vittone (Calc. Var. & PDEs)
  The Bernstein problem for intrinsic graphs in Heisenberg groups and calibrations (2007)
• M. Baìa - E. Zappale (Appl. Anal.)
  A note on thin micromagnetic films with varying profiles (2007)
• L. Beck (Manuscr. Math.)
  Partial regularity for weak solutions of nonlinear elliptic systems: the subquadratic case (2007)
• G. Bellettini - V. Beorchia - M. Paolini (Submitted Paper)
  An explicit formula for a Bennequin-type invariant for apparent contours (2007)
• G. Bellettini - M. Chermisi - M. Novaga (Comm. Partial Differential Equations)
  The level set method for systems of PDEs (2007)
• G. Bellettini - C. Mantegazza - M. Novaga (J. Diff. Geom.)
  Singular Perturbations of Mean Curvature Flow (2007)
• G. Bellettini - M. Masala - M. Novaga (J. Convex Anal.)
  A conjecture of De Giorgi on the squared distance function (2007)
• G. Bellettini - L. Mugnai (Accepted Paper: J. Convex Anal.)
  A varifolds representation of the relaxed elastica functional (2007)
• M. Bernot - A. Figalli (Accepted Paper: ESAIM: COCV)
  Synchronized traffic plans and stability of optima (2007)
• F. Bethuel - G. Orlandi - D. Smets (Comm. Math. Phys.)
  Dynamics of multiple-degree Ginzburg-Landau vortices (2007)
• F. Bethuel - G. Orlandi - D. Smets (Arch. Rational Mech. Anal.)
  Quantization and motion law for Ginzburg-Landau vortices (2007)
• G. Bouchitté - C. Jimenez - R. Mahadevan (Proc. Amer. Math. Soc.)
  A new $L^\infty$ estimate in optimal mass transport (2007)
• A. Braides - M. Briane (Appl. Math. Optim.)
  Homogenization of non-linear variational problems with thin low-conducting layers (2007)
• A. Braides - A. Chambolle - M. Solci (ESAIM: COCV)
  A relaxation result for energies defined on pairs set-function and applications (2007)
• A. Braides - M. Cicalese (Math. Mod. Meth. Appl. Sci. (M3AS))
  Surface energies in nonconvex discrete systems (2007)
• A. Braides - A. Gloria (Multiscale Modeling and Simulation)
  Exact bounds on the effective behaviour of a conducting `discrete' polycrystal (2007)
• A. Braides - M. Solci - E. Vitali (Networks and Heterogeneous Media)
  A derivation of linear elastic energies from pair-interaction atomistic systems (2007)
• A. Braides - C. I. Zeppieri (Calc. Var. Partial Differential Equations)
  A note on equi-integrability in dimension reduction problems (2007)
• B. Brandolini - M. Cicalese - C. Nitsch - C. Trombetti (Appl. Math. Lett.)
  A sharp estimate of the extinction time for the mean-curvature flow (2007)
• D. Bucur - G. Buttazzo (Preprint)
  Irreversible quasistatic evolutions by minimizing movements (2007)
• G. Buratti - G. Royer Carfagni (Journal of Mechanics of Materials and Structures)
  Plastic hinges as phase transitions in strain softening beams (2007)
• G. Buttazzo (Preprint)
  A survey on the Newton problem of optimal profiles (2007)
• G. Buttazzo - G. Carlier - M. Comte (Preprint)
  On the selection of maximal Cheeger sets (2007)
• G. Buttazzo - L. De Pascale - I. Fragalà (Discrete and Continuous Dynamical Systems - Series A)
  Erratum to: Topological equivalence of some variational problems involving distances (2007)
• G. Buttazzo - F. Santambrogio (Networks and Heterogeneous Media)
  Asymptotical compliance optimization for connected networks (2007)
• G. Carlier - C. Jimenez (J. Convex. Anal.)
  On Monge's problem for Bregman-like cost functions (2007)
• V. Caselles - A. Chambolle - M. Novaga (Multiscale Modeling and Simulation)
  The discontinuity set of solutions of the TV denoising problem and some extensions (2007)
• V. Caselles - A. Chambolle - M. Novaga (Pacific Journal of Mathematics)
  Uniqueness of the Cheeger set of a convex body (2007)
• P. Celada - G. Cupini - M. Guidorzi (ESAIM Control Optim. Calc. Var.)
  Existence and regularity of minimizers of nonconvex integrals with $p-q$ growth (2007)
• A. Chambolle - A. Giacomini - M. Ponsiglione (J. Funct. Anal.)
  Piecewise rigidity (2007)
• A. Chambolle - M. Novaga (Math. Models Methods Appl. Sci.)
  Approximation of the anisotropic mean curvature flow (2007)
• T. Champion - L. De Pascale (Journal of Convex Analysis)
  A principle of comparison with distance functions for absolute minimizers (2007)
• T. Champion - L. De Pascale (Proceedings of the Royal Society of Edinburgh)
  Asymptotic behavior of non linear eigenvalues problems involving p-laplacian type operators (2007)
• A. Cianchi - N. Fusco - F. Maggi - A. Pratelli (Journal of the European Mathematical Society)
  The sharp Sobolev inequality in quantitative form (2007)
• S. Conti - C. De Lellis (Math. Ann.)
  Sharp upper bounds for a variational problem with singular perturbation (2007)
• G. Crasta - A. Malusa (J. Differential Equations)
  A sharp uniqueness result for a class of variational problems solved by a distance function. (2007)
• G. Crasta - A. Malusa (J. Differential Equations)
  On a system of partial differential equations of Monge-Kantorovich type. (2007)
• G. Crasta - A. Malusa (Trans. Amer. Math. Soc.)
  The distance function from the boundary in a Minkowski space. (2007)
• G. Crippa (Ph.D. Thesis)
  The flow associated to weakly differentiable vector fields (2007)
• G. Cupini - M. Guidorzi - C. Marcelli (J. Differential Equations)
  Necessary conditions and non-existence results for autonomous nonconvex variational problems (2007)
• G. Dal Maso - A. DeSimone - M. G. Mora - M. Morini (Netw. Heterog. Media)
  Time-dependent systems of generalized Young measures (2007)
• G. Dal Maso - A. Demyanov - A. DeSimone (Milan J. Math.)
  Quasistatic evolution problems for pressure-sensitive plastic materials (2007)
• G. Dal Maso - R. Toader (NoDEA Nonlinear Differential Equations Appl.)
  On a notion of unilateral slope for the Mumford-Shah functional (2007)
• G. Dal Maso - C. Zanini (Proc. Roy. Soc. Edinburgh Sect. A )
  Quasistatic crack growth for a cohesive zone model with prescribed crack path (2007)
• A. Davini (SIAM J. Control Optim.)
  Bolza Problems with discontinuous Lagrangians and Lipschitz--continuity of the value function (2007)
• C. De Lellis (Séminaire Bourbaki. Vol. 2006/2007. Astérisque No. 317 )
  Ordinary differential equations with rough coefficients and the renormalization theorem of Ambrosio (d'après Ambrosio, DiPerna, Lions) (2007)
• C. De Lellis - T. Kappeler - P. Topalov (Comm. Partial Differential Equations)
  Low--regularity solutions of the Camass--Holm equation (2007)
• G. Del Piero - G. Lancioni - R. March (J. Mech. Phys. Solids)
  A variational model for fracture mechanics: numerical experiments (2007)
• S. Delladio (Submitted Paper)
  The set of regular values (in the sense of Clarke) of a Lipschitz map. A sufficient condition for the rectifiability of class $C^2$. (2007)
• A. Demyanov (Preprint)
  Regularity of stresses in Prandtl-Reuss perfect plasticity (2007)
• F. Dragoni (Discrete and Continuous Dynamical Systems)
  Metric Hopf-Lax formula with semicontinuous data (2007)
• M. Eleuteri (Appl. Math.)
  Regularity results for a class of obstacle problems (2007)
• A. Farina - B. Kawohl (Accepted Paper: Calc. Var. Partial Differential Equations)
  Remarks on an overdetermined boundary value problem (2007)
• A. Farina - E. Valdinoci (Accepted Paper: Calc. Var. Partial Differential Equations)
  Geometry of quasiminimal phase transitions (2007)
• A. Fathi - A. Figalli (Accepted Paper: Israel J. Math.)
  Optimal transportation on non-compact manifolds (2007)
• A. Ferriero (Discrete Contin. Dyn. Syst.)
  Action functionals that attain regular minima in presence of energy gaps (2007)
• A. Ferriero (J. Math. Pures Appl.)
  The weak repulsion property (2007)
• A. Fiaschi (Accepted Paper: Annales de l'Institut Henri Poincare (C) Non Linear Analysis )
  A vanishing viscosity approach to a quasistatic evolution problem with nonconvex energy (2007)
• A. Figalli (Accepted Paper: Proc. Amer. Math. Soc.)
  A simple proof of the Morse-Sard Theorem in Sobolev Spaces (2007)
• A. Figalli (Accepted Paper: J. Funct. Anal.)
  Existence and uniqueness of martingale solutions for SDEs with rough or degenerate coefficients (2007)
• A. Figalli (Ph.D. Thesis)
  Optimal transportation and action-minimizing measures (2007)
• A. Figalli - C. Villani (Accepted Paper: Mathematische Zeitschrift)
  Strong displacement convexity on Riemannian manifolds (2007)
• M. Focardi - A. Garroni (SIAM Multiscale Model. Simul.)
  A $1$D phase field model for dislocations and a second order $\Gamma$limit (2007)
• M. Focardi - M. S. Gelli (Inter. Free Boundaries)
  Asymptotic analysis of Mumford-Shah type energies in periodically perforated domains (2007)
• M. Focardi - P. M. Mariano (Int. J. Numer. Meth. Engng.)
  Convergence of asynchronous variational integrators in linear elastodynamics (2007)
• I. Fonseca - N. Fusco - G. Leoni - M. Morini (Arch. Ration. Mech. Anal.)
  Equilibrium configurations of epitaxially strained crystalline films: existence and regularity results (2007)
• I. Fonseca - G. Leoni (Book: Springer Monographs in Mathematics)
  Modern Methods in the Calculus of Variations: $L^p$ Spaces (2007)
• I. Fonseca - M. Morini - V. Slastikov (Arch. Ration. Mech. Anal.)
  Surfactants in foam stability: A phase field model (2007)
• S. Fornaro - G. Metafune - D. Pallara - J. Prüss (J. Math. Pures Appl.)
  $L^p$-theory for some elliptic and parabolic problems with first order degeneracy at the boundary (2007)
• M. Fornasier - R. March (SIAM J. Appl. Math.)
  Restoration of color images by vector valued BV functions and variational calculus (2007)
• L. Freddi - A. Londero - R. Paroni (Applied and Industrial Mathematics in Italy II, Series in Mathermatics for Applied Sciences. World Scientific )
  A simple variational derivation of slender rods theory (2007)
• L. Freddi - A. Morassi - R. Paroni (Submitted Paper)
  On the variational derivation of the kinematics for thin-walled closed section beams (2007)
• L. Freddi - A. Morassi - R. Paroni (Journal of Elasticity)
  Thin-walled beams: a derivation of Vlassov theory via $\Gamma$-convergence (2007)
• N. Fusco - F. Maggi - A. Pratelli (Ann. Sc. Norm. Super. Pisa Cl. Sci. (5) )
  Stability estimates for certain Faber-Krahn, isocapacitary and Cheeger inequalities (2007)
• N. Fusco - G. Moscariello - C. Sbordone (Submitted Paper)
  The limit of $W^{1,1}$ homeomorphisms with finite distortion (2007)
• G. Gargiulo - E. Zappale (NONLINEAR DIFFERENTIAL EQUATIONS AND APPLICATIONS.)
  A Remark on the Junction in a Thin Multi-Domain: the Non Convex Case (2007)
• G. Gargiulo - E. Zappale (Boll. UMI B)
  The Energy Density of Non Simple Grade Two Materials Thin Films via a Young Measure Approach (2007)
• G. Gargiulo - E. Zappale - H. Zorgati (COMPTES RENDUS MATHEMATIQUES DE L'ACADEMIE DES SCIENCES)
  Films courbés composés d'un matériaux non simple de second grade. (2007)
• A. Garroni - C. J. Larsen (Submitted Paper)
  Threshold-based Quasi-static Brittle Damage Evolution (2007)
• A. Giacomini - P. Trebeschi (J. Differential Equations)
  A density result for Sobolev spaces in dimension two, and applications to stability of nonlinear Neumann problems (2007)
• M. Giaquinta - D. Mucci (Pure Appl. Math. Q.)
  Maps of bounded variation with values into a manifold: total variation and relaxed energy (2007)
• M. Gori (Accepted Paper: Journal of Convex Analysis)
  On a maximization problem for the convex hull of connected systems of segments (2007)
• L. Granieri (NoDea)
  On Action Minimizing Measures for the Monge-Kantorovich Problem (2007)
• J. Lamboley - M. Pierre (Accepted Paper: Journal of Convex Analysis)
  Structure of shape derivatives around irregular domains and applications (2007)
• G. Leoni - M. Morini (J. Eur. Math. Soc. (JEMS))
  Necessary and sufficient conditions for the chain rule in $W_{loc}^{1,1}(R^N;R^d)$ and $BV_{loc}(R^N;R^d)$ (2007)
• S. Lisini (Calc. Var.)
  Characterization of absolutely continuous curves in Wasserstein spaces (2007)
• A. Lorent (Math. Ann.)
  A Marstrand theorem for measures with polytope density (2007)
• L. Lussardi (Int. J. Contemp. Math. Sci.)
  An approximation for the Mumford-Shah functional (2007)
• L. Lussardi - M. Negri (Numer. Funct. Anal. Optim.)
  Convergence of non-local finite element energies for fracture mechanics (2007)
• L. Lussardi - E. Vitali (Ann. Mat. Pura Appl. )
  Non-local approximation of free-discontinuity functionals with linear growth: the one-dimensional case (2007)
• L. Lussardi - E. Vitali (ESAIM Control Optim. Calc. Var.)
  Non-local approximation of free-discontinuity problems with linear growth (2007)
• F. Maddalena - D. Percivale (Preprint)
  Variational models for peeling problems (2007)
• F. Maddalena - S. Solimini (Preprint)
  Transport distances and irrigation models (2007)
• F. Maestre - A. Münch - P. Pedregal (Accepted Paper: SIAP)
  A spatio-temporal design problem for a damped wave equation (2007)
• F. Maestre - A. Münch - P. Pedregal (Preprint)
  Optimal design under the 1d wave equation (2007)
• F. Maggi (Lecture notes (accepted in revised form on Bull. Amer. Math. Soc.))
  Some methods for studying stability in isoperimetric type problems (2007)
• F. Maggi - C. Villani (Accepted Paper: Calc. Var. Partial Differential Equations)
  Balls have the worst best Sobolev inequalities. Part II: Variants and extensions (2007)
• A. Malusa - M. M. Porzio (Nonlinear Anal. TMA)
  Renormalized solutions to elliptic equations with measure data in unbounded domains. (2007)
• A. C. G. Mennucci - G. Sundaramoorthi - A. Yezzi (International Journal of Computer Vision)
  Sobolev Active Contours (2007)
• A. Mielke - R. Rossi (Math. Models Methods Appl. Sci.)
  Existence and uniqueness results for a class of rate-independent hysteresis problems (2007)
• M. Miranda Jr - D. Pallara - F. Paronetto - M. Preunkert (J. Reine Angew. Math.)
  Heat semigroup and functions of bounded variation on Riemannian manifolds (2007)
• M. Miranda Jr - D. Pallara - F. Paronetto - M. Preunkert (Ann. Fac. Sci. Toulouse Math.)
  Short-time Heat Flow and Functions of Bounded Variation in $R^N$ (2007)
• M. G. Mora - S. Müller (Calc. Var. Partial Differential Equations)
  Derivation of a rod theory for multiphase materials (2007)
• M. G. Mora - S. Müller - M. G. Schultz (Indiana Univ. Math. J.)
  Convergence of equilibria of planar thin elastic beams (2007)
• J. M. Morel - F. Santambrogio (Appl. Math. Lett.)
  Comparison of distances between measures (2007)
• D. Mugnai (Accepted Paper: Discrete Contin. Dyn. Syst.)
  Almost uniqueness result for reversed variational inequalities (2007)
• D. Mugnai - A. Pistoia (Communications on Applied Nonlinear Analysis)
  On the exact number of bifurcation branches in a square and in a cube (2007)
• L. Mugnai - M. Röger (Submitted Paper)
  The Allen-Cahn action functional in higher dimensions (2007)
• M. Negri (Interfaces Free Bound. )
  Convergence analysis for a smeared crack approach in brittle fracture (2007)
• M. Novaga - M. Paolini (Math. Mod. Meth. Appl. Sc.)
  Nonuniqueness for crystalline curvature flow (2007)
• M. Novaga - E. Valdinoci (Discrete Contin. Dyn. Syst.)
  The geometry of mesoscopic phase transition interfaces (2007)
• G. Palatucci (Ph.D. Thesis)
  A class of phase transition problems with the line tension effect (2007)
• M. Ponsiglione (Accepted Paper: SIAM J. Math. Anal.)
  Elastic energy stored in a crystal induced by screw dislocations: from discrete to continuous (2007)
• A. Pratelli (Math. Z.)
  On the sufficiency of $c$-cyclical monotonicity for optimality of transport plans (2007)
• F. Prinari (Appl. Math. Optim.)
  Semicontinuity and supremal representation in the Calculus of Variations (2007)
• F. Santambrogio (Interfaces and Free Boundaries)
  Optimal Channel Networks, Landscape Function and Branched Transport (2007)
• F. Santambrogio (J. Glob. Opt.)
  Transport and Concentration Problems with Interaction Effects (2007)
• L. Scardia (Proc. Roy. Edinb. Soc. A)
  Asymptotic models for curved rods derived from nonlinear elasticity by $\Gamma$-convergence (2007)
• P. Tilli (Accepted Paper: Transactions of the American Mathematical Society)
  Isoperimetric inequalitites for convex hulls and related questions (2007)
• C. Zanini (Discrete Contin. Dyn. Syst. Ser. A)
  Singular perturbations of finite dimensional gradient flows (2007)
• X. Zhong (Submitted Paper)
  Discontinuous solutions of linear, degenerate elliptic equations (2007)