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

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

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

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

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

M. Giaquinta, P. M. Mariano, G. Modica:
A variational problem in the mechanics of complex materials
DCDS-A Vol. 28, p. 519-553, 2010

M. Giaquinta, P. M. Mariano, G. Modica:
Stress constraints in simple bodies undergoing large strains: a variational approach
Proc. Royal Soc. Edinburgh (Accepted Paper) 2014