D. Mucci: A Characterization of Graphs which can be Approximated in Area by Smooth Graphs J.Eur.Math.Soc. Vol. 3 , p. 1-38, 2001 A. Coscia, D. Mucci: Integral representation and $\Gamma$-convergence of variational integrals with $p(x)$-growth ESAIM:COCV Vol. 7, p. 495-519, 2002 D. Mucci: Relaxation of variational functionals with piecewise constant growth conditions J. Convex Anal. Vol. 10, N. 2, p. 295-324, 2003 M. Giaquinta, D. Mucci: The Dirichlet energy of mappings from {\mbox{$*B^3*$}} into a manifold: density results and gap phenomenon Calc. Var. Vol. 20, p. 367-397, 2004 M. Giaquinta, D. Mucci: Weak and strong density results for the Dirichlet energy Jour. Eur. Math. Soc. Vol. 6, p. 95-117, 2004 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: $W^{1/2}$-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: 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. Giaquinta, D. Mucci: Graphs of $ W^{1,1}$-maps with values into $ S^1$: relaxed energies, minimal connections and lifting Proc. Roy. Soc. Edinburgh Sect. A Vol. 137, N. 5, p. 937-962, 2006 D. Mucci: Remarks on the total variation of the Jacobian NoDEA Vol. 13, p. 223-233, 2006 M. Giaquinta, D. Mucci: Density results relative to the Dirichlet energy of mappings into a manifold Comm. Pure Appl. Math. Vol. 59, N. 12, p. 1791-1810, 2006 M. Giaquinta, D. Mucci: The BV-energy of maps into a manifold: relaxation and density results Ann. Scuola Norm. Sup. Pisa Cl. Sci (5) Vol. 5, N. 4, p. 483-548, 2006 M. Giaquinta, D. Mucci: Maps into manifolds and currents: area and $W^{1,2}$-, $W^{1/2}$-, $BV$-energies (Edizioni della Normale. CRM Series. Scuola Normale Superiore Pisa) 2006 M. Giaquinta, D. Mucci: Maps of bounded variation with values into a manifold: total variation and relaxed energy Pure Appl. Math. Q. Vol. 3, N. 2, p. 513-538, 2007 D. Mucci: ${BV}$-maps with values into ${S^1}$: graphs, minimal connections and optimal lifting Forum Math. Vol. 20, N. 5, p. 859-880, 2008 M. Giaquinta, D. Mucci: Relaxation results for a class of functionals with linear growth defined on manifold constrained mappings Journal of Convex Analysis Vol. 15, N. 4, p. 719-751, 2008 M. Giaquinta, G. Modica, D. Mucci: The relaxed Dirichlet energy of manifold constrained mappings Advances in Calc. Var. Vol. 1, N. 1, p. 1-51, 2008 M. Giaquinta, P. M. Mariano, G. Modica, D. Mucci: Stratified energies: Ground States with Cracks Proceedings of the IUTAM Symposium "Progress in the Theory and Numerics of Configurational Mechanics, Erlangen-Nuremberg, Germany, October 20-24" Vol. IUTAM Bookseries, p. 159-168, 2009 D. Mucci: Relaxation of isotropic functionals with linear growth defined on manifold constrained Sobolev mappings ESAIM: COCV Vol. 15, N. 2, p. 295-321, 2009 D. Mucci: Strong density results in trace spaces of maps between manifolds Manuscripta Math. Vol. 128, N. 4, p. 421-441, 2009 M. Giaquinta, P. M. Mariano, G. Modica, D. Mucci: Ground states of simple bodies that may undergo brittle fractures Phys. D Vol. 239, N. 15, p. 1485-1502, 2010 D. Mucci: A variational problem involving the distributional determinant Riv. Mat. Univ. Parma (N.S.) Vol. 1, N. 2, p. 321-345, 2010 M. Giaquinta, P. M. Mariano, G. Modica, D. Mucci: Currents and Curvature Varifolds in Continuum Mechanics Amer. Math. Soc. Transl. Ser. 2 Vol. 229, p. 97-117, 2010 D. Mucci: Sobolev maps into the projective line with bounded total variation Confluentes Math. Vol. 2, N. 2, p. 181-216, 2010 D. Mucci: The homological singularities of maps in trace spaces between manifolds Math. Z. Vol. 266, N. 4, p. 817-849, 2010 D. Mucci: Graphs of vector valued maps: decomposition of the boundary (Unpublished Paper) 2011 D. Mucci: Maps into projective spaces: liquid crystal and conformal energies DCDS-B Vol. 17, N. 2, p. 597--635, 2012 D. Mucci: On sequences of maps with finite energies in trace spaces between manifolds Adv. Calc. Var. Vol. 5, p. 161-230, 2012 E. Acerbi, G. Crippa, D. Mucci: A variational problem for couples of functions and multifunctions with interaction between leaves ESAIM: Control, Optimisation and Calculus of Variations 2012 D. Mucci, L. Nicolodi: On the elastic energy density of constrained $Q$-tensor models for biaxial nematics Arch. Rational Mech. Anal. Vol. 206, p. 853--884, 2012 E. Acerbi, D. Mucci: Graphs of maps between manifolds in trace spaces and with vanishing mean oscillation Annales de l'Institut Henri Poincaré / Analyse non linéaire Vol. 31, p. 1015--1034, 2014 D. Mucci: A structure property of ``vertical" integral currents, with an application to the distributional determinant Revista Matematica Complutense 2014 D. Mucci, L. Nicolodi: On the Landau-de Gennes elastic energy of constrained biaxial nematics SIAM J. Math. Anal. Vol. 48, N. 3, p. 1954-1987, 2015 E. Acerbi, D. Mucci: Curvature-dependent energies Milan J. Math. 2017 E. Acerbi, D. Mucci: Curvature-dependent energies: the elastic case Nonlinear Analysis Vol. 153, p. 7--34, 2017 E. Acerbi, D. Mucci: Curvature-dependent energies: a geometric and analytical approach Proc. Roy. Soc. Edinburgh Sect. A 2017 D. Mucci, L. Nicolodi: On the Landau-de Gennes elastic energy of a Q-tensor model for soft biaxial nematics J. Nonlinear Sci. 2017 D. Mucci, A. Saracco: Bounded variation and relaxed curvature of surfaces Milan Journal of Mathematics 2020 D. Mucci, A. Saracco: The weak Frenet frame of non-smooth curves with finite total curvature and absolute torsion Annali di Matematica Pura ed Applicata 2020 D. Mucci, A. Saracco: The total intrinsic curvature of curves in Riemannian surfaces & Erratum Rend. Circ. Mat. Palermo, II Ser. 2020 D. Mucci: On the curvature energy of Cartesian surfaces The Journal of Geometric Analysis 2021 D. Mucci, L. Nicolodi: Ericksen's type inequalities for constrained Q-tensor models of nematic liquid crystals Rendiconti Sem. Mat. Univ. Pol. Torino Vol. 79, N. 1, p. 59-88, 2021 D. Mucci: The relaxed energy of fractional Sobolev maps with values into the circle (Submitted Paper) p. 34, 2021 D. Mucci, A. Saracco: Weak curvatures of irregular curves in high dimension Euclidean spaces Annals of Global Analysis and Geometry Vol. 60, p. 181-216, 2021 P. M. Mariano, D. Mucci: Micro-slip-induced multiplicative plasticity: existence of energy minimizers Arch Rational Mech Anal 2021 D. Mucci, A. Saracco: On the curvatures of irregular curves in Euclidean spaces and Riemannian surfaces Pure Appl. Funct. Anal. (Accepted Paper) p. 50, 2022 M. Kruzik, P. M. Mariano, D. Mucci: Crack occurrence in bodies with gradient polyconvex energies Journal of Nonlinear Science Vol. 32, p. 26, 2022 D. Mucci: Strict convergence with equibounded area and minimal completely vertical liftings Nonlinear Analysis Vol. 221, N. 112943, p. 30, 2022 D. Mucci, L. Nicolodi: On the Ginzburg-Landau free energy density of superfluid phases A and B of Helium 3 Acta Appl Math Vol. 182, N. 7, p. 26, 2022 D. Mucci: Strong density results for manifold valued fractional Sobolev maps Ann. Fac. Sci. Toulouse Math (Accepted Paper) 2022 D. Mucci, A. Saracco: Weak elastic energy of irregular curves Philosophical Transactions A (Accepted Paper) p. 21, 2022 D. Mucci: A relaxation result for a second order energy of mappings into the sphere (Submitted Paper) 2023 P. M. Mariano, D. Mucci: Equilibrium of thin shells under large strains without through-the-thickness shear and self-penetration of matter Mathematics in Engineering Vol. 5, p. 1--21, 2023 V. Goldshtein, P. M. Mariano, D. Mucci, R. Segev: Continuum Kinematics with Incompatible-Compatible Decomposition Philosophical Transactions A (Accepted Paper) 2023 S. Carano, D. Mucci: Strict BV relaxed area of Sobolev maps into the circle: the high dimension case NoDEA (Accepted Paper) 2023 D. Mucci: On generalized nonparametric minimal hyperfurfaces in high dimension J. Geom. Anal. Vol. 33, N. 356, p. 16, 2023 P. M. Mariano, D. Mucci: Crack nucleation in shells with through-the-thickness microstructure SIAM J. Math. Anal. Vol. 55, N. 5, p. 4977--4997, 2023