Preprint server: Mean Curvature Flow

[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.

[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.

[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.

[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.

[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.

[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.

[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.

[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.

[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.

[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.

[NPV93d](C18)

R.H. Nochetto , M. Paolini , and C. Verdi , Geometric motion of interfaces, Boundary value Problems for Partial Differential Equations and Applications 29 (J.-L. Lions, C. Baiocchi, eds.), Masson, Paris (1993), 403--408.

[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.

[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.

[NPV94c](R15)

R.H. Nochetto , M. Paolini , and C. Verdi , Optimal interface error estimates for the mean curvature flow, Ann. Scuola Norm. Sup. Pisa Cl. Sci. (4), 21 (1994), 193--212.

[PaVe92b](R11)

M. Paolini and C. Verdi , Asymptotic and numerical analyses of the mean curvature flow with a space-dependent relaxation parameter, Asymptotic Anal., 5 (1992), 553--574.