Preprint server: served

[BBP24a](R66)

G. Bellettini , A. Betti, and M. Paolini , A free boundary singular transport equation as a formal limit of a discrete dynamical system, J. Differential Equations, to appear.

[MPPT20](R65)

A. Marzocchi, M. Paolini , F. Pasquarelli, and P. Tesini, Multimodelling simulation of external water inflows into a morainic lake: the Lake Garda case, Far East Journal of Applied Mathematics, 107 (2020), 107--130.

[BPPW23](R64)

G. Bellettini , G. Paolini, M. Paolini , and Y.-S. Wang , A table of n-component handlebody links of genus n plus 1 up to six crossings, Math. Proc. Cambridge Philos. Soc., 174 (2023).

[BPW20b](R63)

G. Bellettini , M. Paolini , and Y.-S. Wang , Numerical irreducibility criteria for handlebody links, Topology and its Applications, 284 (2020), 1--14.

[BPW21a](R62)

G. Bellettini , M. Paolini , and Y.-S. Wang , A complete invariant for closed surfaces in the three-sphere, J. Knot Theory Ramifications, 30 (2021), 1--25.

[BPW20a](R61)

G. Bellettini , M. Paolini , and Y.-S. Wang , A complete invariant for connected surfaces in the 3-sphere, J. Knot Theory Ramifications, 29 (2020), 1--24.

[BEPS19a](R60)

G. Bellettini , A. Elshorbagy, M. Paolini , and R. Scala, On the relaxed area of the graph of discontinuous maps from the plane to the plane taking three values with no symmetry assumptions, Ann. Mat. Pura Appl. (2019), 1--33, online-first.

[BPPS18a](C30)

G. Bellettini , M. Paolini , F. Pasquarelli, and G. Scianna, Covers, soap films and BV functions, Geometric Flows, 3 (2018), 57--75.

[BPP18a](R59)

G. Bellettini , M. Paolini , and F. Pasquarelli, Triple covers and a non-simply connected surface spanning an elongated tetrahedron and beating the cone, Interfaces and Free Boundaries, 20 (2018), 407--436.

[Pao17b](D4)

M. Paolini , Gli anelli che ruzzolano, Alice & Bob, 49 (2017), 73--79.

[Pao17a](D3)

M. Paolini , L'eredità di Martin Gardner, Alice & Bob, 49 (2017), 57--64.

[BPT16b](R58)

G. Bellettini , M. Paolini , and L. Tealdi, Semicartesian surfaces and the relaxed area of maps from the plane to the plane with a line discontinuity, Ann. Mat. Pura Appl., 195 (2016), 2131–2170.

[ABP17](R57)

S. Amato, G. Bellettini , and M. Paolini , Constrained BV functions on covering spaces for minimal networks and Plateau's type problems, Adv. Calc. Var., 10 (2017), 25--47.

[Pao17c](D2)

M. Paolini , Exploring the "Rubik's Magic" universe, Recreat. Math. Mag., 4 (2017), 29--64.

[BBPP15](B1)

G. Bellettini , V. Beorchia, M. Paolini , and F. Pasquarelli, Shape Reconstruction from Apparent Contours. Theory and Algorithms, Springer Verlag, Berlin (2015).

[MPR15](R56)

A. Musesti , M. Paolini , and C. Reale, An optimal bound on the number of moves for open Mancala, Discrete Math, 338 (2015), 1827--1844.

[BPT16a](R55)

G. Bellettini , M. Paolini , and L. Tealdi , On the area of the graph of a piecewise smooth map from the plane to the plane with a curve discontinuity, ESAIM: Control, Optimisation and Calculus of Variations, 22 (2016), 29--63.

[ABP13](C29)

S. Amato, G. Bellettini , and M. Paolini , The nonlinear multidomain model: a new formal asymptotic analysis, Proc. Geometric Partial Differential Equations (Pisa, Italy, 2012, A. Chambolle, M. Novaga, E. Valdinoci, eds.), Edizioni della Normale, Pisa (2013), 33--74.

[BPP13](R54)

G. Bellettini , M. Paolini , and F. Pasquarelli, Nonconvex mean curvature flow as a formal singular limit of the nonlinear bidomain model, Adv. Differential Equations, 18 (2013), 895--934.

[Pao11](C28)

M. Paolini , Nonconvex anisotropy and the bidomain model, Proc. Geometric Partial Differential Equations: Theory, Numerics and Applications (Oberwolfach, 2011), Oberwolfach Reports, 54 (2011), 52--54.

[BePa10a](R53)

G. Bellettini and M. Paolini , On the area of the graph of a singular map from the plane to the plane taking three values, Adv. Calc. Var., 3 (2010), 371–-386.

[BBP12](R51)

G. Bellettini , V. Beorchia, and M. Paolini , Completeness of Reidemeister-type moves for surfaces embedded in three-dimensional space, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. Lincei (9) Mat. Appl., 23 (2012), 69--87.

[BBP09b](R50)

G. Bellettini , V. Beorchia, and M. Paolini , Completion of visible contours, SIAM J. Imaging Sci., 2 (2009), 777--799.

[BNP11](R52)

G. Bellettini , M. Novaga , and M. Paolini , Convergence for long-times of a semidiscrete Perona-Malik equation in one dimension, Math. Models Methods Appl. Sci., 21 (2011), 241--265.

[BNPT09a](R49)

G. Bellettini , M. Novaga , M. Paolini , and C. Tornese, Classification of the equilibria for the semi-discrete Perona-Malik equation, Calcolo, 46 (2009), 221--243.

[BBP09a](R47)

G. Bellettini , V. Beorchia, and M. Paolini , An explicit formula for a Bennequin-type invariant for apparent contours, Topology Appl., 156 (2009), 747--760.

[Pao07](C27)

M. Paolini , A software code to manipulate apparent contours, Oberwolfach Reports, 4 (2007), 179--181.

[BNPT08a](R48)

G. Bellettini , M. Novaga , M. Paolini , and C. Tornese, Convergence of discrete schemes for the Perona-Malik equation, J. Differential Equations, 245 (2008), 892--924.

[BBP08a](R45)

G. Bellettini , V. Beorchia, and M. Paolini , Topological and variational properties of a model for the reconstruction of three-dimensional transparent images with self-occlusions, J. Math. Imaging Vision, 32 (2008), 265--291.

[NoPa07](R44)

M. Novaga and M. Paolini , Nonuniqueness for crystalline curvature flow, Math. Models Methods Appl. Sci., 17 (2007), 1307--1315.

[Pao05](C26)

M. Paolini , Capillarity and calibrability of sets in crystalline mean curvature flow, Oberwolfach Reports, 2 (2005), 560--562.

[Pao02](LN1)

M. Paolini , From the Stefan problem to crystalline evolution, FM-DM Lecture notes, Warsaw, july 2002 (2002), 1--31.

[BePa02](R43)

G. Bellettini and M. Paolini , Errata corrige to the paper: Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature, Rend. Accad. Naz. Sci. XL Mem. Mat. (5), 26 (2002), 161--165.

[PaPa02](C25)

M. Paolini and F. Pasquarelli, Unstable Crystalline Wulff Shapes in 3D, Proceedings Variational methods for discontinuous structures, Progress in Nonlinear Differential Equations and Their Applications 51, Birkhauser, Basel (2002), 141--153.

[GPR01](R42)

Y. Giga , M. Paolini , and P. Rybka , On the motion by singular interfacial energy, Japan J. Indust. Appl. Math., 18 (2001), 47--64.

[BNP01b](R41)

G. Bellettini , M. Novaga , and M. Paolini , On a crystalline variational problem, part II: $BV$-regularity and structure of minimizers on facets, Arch. Ration. Mech. Anal., 3 (2001), 193--217.

[BNP01c](R40)

G. Bellettini , M. Novaga , and M. Paolini , Characterization of facet--breaking for nonsmooth mean curvature flow in the convex case, Interfaces and Free Boundaries, 3 (2001), 415--446.

[NePa01](R39)

M. Negri and M. Paolini , Numerical minimization of the Mumford-Shah functional, Calcolo, 38 (2001), 67--84.

[PaPa00](C24)

M. Paolini and F. Pasquarelli, Numerical simulation of crystalline curvature flow in 3D by interface diffusion, Free Boundary Problems: theory and applications II, GAKUTO Internat. Ser. Math. Sci. Appl. 14 (N. Kenmochi ed.), Gakk\"otosho, Tokyo (2000), 376--389.

[BNP01a](R38)

G. Bellettini , M. Novaga , and M. Paolini , On a crystalline variational problem, part I: first variation and global $L^\infty$-regularity, Arch. Ration. Mech. Anal., 3 (2001), 165--191.

[BNP99](R37)

G. Bellettini , M. Novaga , and M. Paolini , Facet-breaking for three dimensional crystals evolving by mean curvature, Interfaces and Free Boundaries, 1 (1999), 39--55.

[Pao98](C23)

M. Paolini , Fattening in two dimensions obtained with a nonsymmetric anisotropy: numerical simulations, Acta Math. Univ. Comenianae, 67 (1998), 43--55.

[CPR99](R36)

B. Cecon, M. Paolini , and M. Romeo, Optimal interface error estimates for a discrete double obstacle approximation to the prescribed curvature problem, Math. Models Methods Appl. Sci., 9 (1999), 799--823.

[BNP98](R35)

G. Bellettini , M. Novaga , and M. Paolini , An example of three dimensional fattening for linked space curves evolving by curvature, Comm. Partial Differential Equations, 23 (1998), 1475--1492.

[FGP98](R34)

F. Fierro , R. Goglione, and M. Paolini , Numerical simulations of mean curvature flow in presence of a nonconvex anisotropy, Math. Models Methods Appl. Sci., 4 (1998), 573--601.

[BCP97](R33)

G. Bellettini , P. Colli Franzone , and M. Paolini , Convergence of front propagation for anisotropic bistable reaction-diffusion equations, Asymptot. Anal., 15 (1997), 325--358.

[GoPa96](C22)

R. Goglione and M. Paolini , Numerical simulations of crystalline motion by mean curvature with Allen-Cahn relaxation, Free boundary problems, theory and applications, Pitman Res. Notes Math. Ser., 363 (M. Niezg\'odka and P. Strzelecki, eds.), Longman Scientific \& Technical, Harlow (1996), 203--216.

[EPS96](R32)

C.M. Elliott , M. Paolini , and R. Sch\"atzle , Interface estimates for the fully anisotropic Allen-Cahn equation and anisotropic mean curvature flow, Math. Models Methods Appl. Sci., 6 (1996), 1103--1118.

[FiPa96](R31)

F. Fierro and M. Paolini , Numerical evidence of fattening for the mean curvature flow, Math. Models Methods Appl. Sci., 6 (1996), 793--813.

[BePa95d](R30)

G. Bellettini and M. Paolini , Some results on minimal barriers in the sense of De Giorgi applied to driven motion by mean curvature, Rend. Accad. Naz. Sci. XL Mem. Mat. (5), 19 (1995), 43--67.

[Pao95](C21)

M. Paolini , An efficient algorithm for computing anisotropic evolution by mean curvature, Curvature Flows and Related Topics, GAKUTO Internat. Ser. Math. Sci. Appl. 5 (A. Damlamian {\it et al.}, eds.), Gakk\"otosho, Tokyo (1995), 199--213.

[FGP94](R29)

F. Fierro , R. Goglione, and M. Paolini , Finite element minimization of curvature functionals with anisotropy, Calcolo, 3-4 (1994), 191--210.

[BePa96b](R28)

G. Bellettini and M. Paolini , Anisotropic motion by mean curvature in the context of Finsler geometry, Hokkaido Math. J., 25 (1996), 537--566.

[BePa95c](R27)

G. Bellettini and M. Paolini , Teoremi di confronto tra diverse nozioni di movimento secondo la curvatura media, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 6 (1995), 45--54.

[Pao97](R26)

M. Paolini , A quasi-optimal error estimate for a discrete singularly perturbed approximation to the prescribed curvature problem, Math. Comp., 66 (1997), 45--67.

[BPV96](R25)

G. Bellettini , M. Paolini , and S. Venturini, Some results on surface measures in Calculus of Variations, Ann. Mat. Pura Appl., 170 (1996), 329--359.

[NPV96a](R24)

R.H. Nochetto , M. Paolini , and C. Verdi , A dynamic mesh algorithm for curvature dependent evolving interfaces, J. Comput. Phys., 123 (1996), 296--310.

[CMPV94](RT7)

R. Caselli, S. Mazzullo, M. Paolini , and C. Verdi , Models, experiments, and numerical simulation of isothermal crystallization of polymers, Proceedings of the Seventh European Conference on Mathematics in Industry, March 2-6, 1993 Montecatini Terme (A. Fasano and M. Primicerio, eds.), B. G. Teubner, Stuttgart (1994), 167--174.

[BePa94b](R23)

G. Bellettini and M. Paolini , Two examples of fattening for the curvature flow with a driving force, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 5 (1994), 229--236.

[NPV94b](R22)

R.H. Nochetto , M. Paolini , and C. Verdi , Quadratic rate of convergence for curvature dependent smooth interfaces: a simple proof, Appl. Math. Lett., 7 (1994), 59--63.

[BePa96a](R21)

G. Bellettini and M. Paolini , Numerical simulations of measurements of capillary contact angles, IMA J. Numer. Anal., 16 (1996), 165--178.

[BePa94a](R20)

G. Bellettini and M. Paolini , Convex approximations of an inhomogeneous anisotropic functional, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 5 (1994), 177--187.

[BePa95b](R19)

G. Bellettini and M. Paolini , Variational properties of an image segmentation functional depending on contours curvature, Adv. Math. Sci. Appl., 5 (1995), 681--715.

[BePa95](R18)

G. Bellettini and M. Paolini , Quasi-optimal error estimates for the mean curvature flow with a forcing term, Differential Integral Equations, 8 (1995), 735--752.

[NPV95](R17)

R.H. Nochetto , M. Paolini , and C. Verdi , Double obstacle formulation with variable relaxation parameter for smooth geometric front evolutions: asymptotic interface error estimates, Asymptotic Anal., 10 (1995), 173--198.

[NPRV94](C17)

R.H. Nochetto , M. Paolini , S. Rovida, and C. Verdi , Variational approximation of the geometric motion of fronts, Motion by Mean Curvature and Related Topics (G. Buttazzo and A. Visintin, eds.), Gruyter, Berlin (1994), 124--149.

[AFPPV94](RT6)

D. Andreucci, A. Fasano, M. Paolini , M. Primicerio, and C. Verdi , Numerical simulation of polymer crystallization, Math. Models Methods Appl. Sci., 4 (1994), 135--145.

[NPV93b](R16)

R.H. Nochetto , M. Paolini , and C. Verdi , Sharp error analysis for curvature dependent evolving fronts, Math. Models Methods Appl. Sci., 3 (1993), 711--723.

[BPV92a](C14)

G. Bellettini , M. Paolini , and C. Verdi , Numerical minimization of functionals with curvature by convex approximations, Progress in partial differential equations: calculus of variations, applications, Pitman RNM 267 (C. Bandle {\it et al.}, eds.), Longman, Harlow (1992), 124--138.

[BPV91a](R10)

G. Bellettini , M. Paolini , and C. Verdi , Convex approximations of functionals with curvature, Atti Accad. Naz. Lincei Cl. Sci. Fis. Mat. Natur. Rend. (9) Mat. Appl., 2 (1991), 297--306.

[BPV91c](R9)

G. Bellettini , M. Paolini , and C. Verdi , Numerical minimization of geometrical type problems related to calculus of variations, Calcolo, 27 (1991), 251--278.