Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.: Well-posedness and long-time behaviour for a nonstandard viscous Cahn-Hilliard system SIAM J. Appl. Math. 71 (2011) 1849-1870. download
Gilardi G., Miranville, A., Schimperna G.: Long-time behavior of the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions Chinese Annals of Mathematics Series B 31 (2010) 679-712.
Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.: A temperature-dependent phase segregation problem of the Allen-Cahn type Adv. Math. Sci. Appl. 20 (2010) 219-234.
Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.: Existence and uniqueness of a global-in-time solution to a phase segregation problem of the Allen-Cahn type Math. Models Methods Appl. Sci. 20 (2010) 519-541.
Colli P., Gilardi G., Podio-Guidugli P., Sprekels J.: Global solution to a phase transition problem of the Allen-Cahn type in "Nonlinear Evolution Equations and Mathematical Modeling" Proc. RIMS Symposium, Research Institute for Mathematical Sciences, Kyoto University, October 20-23, 2009 T. Aiki (ed.), Surikaisekikenkyusho Kokyuroku 1693, Kyoto 2010, pp. 104-110.
Bonetti E., Colli P., Fabrizio M., Gilardi G.: Existence and boundedness of solutions for a singular phase field system J. Differential Equations 246 (2009) 3260-3295. download
Gilardi G., Miranville A., Schimperna G.: On the Cahn-Hilliard equation with irregular potentials and dynamic boundary conditions Commun. Pure Appl. Anal. 8 (2009) 881-912. download
Gilardi G., Stefanelli U.: Existence for a doubly nonlinear Volterra equation J. Math. Anal. Appl. 333 (2007) 839-862. download
Gilardi G.: On a conserved phase field model with irregular potentials and dynamic boundary conditions Istit. Lombardo Accad. Sci. Lett. Rend. A 141 (2007) 129-161. download
Gilardi G., Miranville A.: On the Cahn-Hilliard equation with dynamic boundary conditions pubblicazione IMATI-CNR n.6PV07/6/5 (2007) 1-28.
Gilardi G., Rocca E.: Well posedness and long time behaviour for a singular phase field system of conserved type IMA J. Appl. Math. 72 (2007) 498-530.
Bonetti E., Colli P., Fabrizio M., Gilardi G.: Global solution to a singular integrodifferential system related to the entropy balance Nonlinear Anal. 66 (2007) 1949-1979. download
Gilardi G., Rocca E.: Convergence of phase field to phase relaxation governed by the entropy balance with memory Math. Methods Appl. Sci. 29 (2006) 2149-2179.
Gilardi G., Stefanelli U.: Time-discretization and global solution for a doubly nonlinear Volterra equation J. Differential Equations 228 (2006) 707-736. download
Bonetti E., Colli P., Fabrizio M., Gilardi G.: Modelling and long-time behaviour for phase transitions with entropy balance and thermal memory conductivity Discrete Contin. Dyn. Syst. Ser. B 6 (2006) 1001-1026 (electronic). download
G. Gilardi: On Some Penrose-Fife Type Systems with Special Heat Flux Laws" in "Mathematical Methods and Models in Phase Transitions", pp. 177-195, A. Miranville, ed., Nova Science Publishers, Inc., New York, 2005.
G. Gilardi, A. Marson: On a conserved Penrose-Fife type system Appl. Math. 50 (2005) 465-499. download
P. Colli, G. Gilardi, E. Rocca, G. Schimperna: On a Penrose-Fife phase field model with non-homogeneous Neumann boundary conditions for the temperature Differential Integral Equations 17 (2004) 511-534. download
G. Gilardi: On a phase transition model of Penrose-Fife type Proc. Nonlinear Evolution Problems Rome, January 28-31, 2003, Rend. Mat. Acc. Lincei, s. 9, 15 (2004) 169-181.
G. Gilardi, A. Marson: On a Penrose-Fife type system with Dirichlet boundary conditions for temperature Math. Methods Appl. Sci. 26 n. 15 (2003) 1303-1325. download
G. Gilardi, E. Rocca: Su un modello conservativo di tipo Penrose-Fife con condizioni di Neumann Istituto Lombardo (Rend. Sc.) A 136-137 (2002-2203) 185-207.
E. Bonetti, P. Colli, W. Dreyer, G. Gilardi, G. Schimperna, J. Sprekels: On a model for phase separation in binary alloys driven by mechanical effects Physica D 165 (2002) 48-65. download
G. Gilardi: Solid-solid phase transition in a mechanical system Proc. Modelli Matematici e Problemi Analitici per Materiali Speciali Cortona, 25-29 giugno 2001; "Mathematical Models and Methods for Smart Materials", M. Fabrizio, B. Lazzari & A. Morro (ed.), Ser. Adv. Math. Appl. Sci. 62 World Scientific Publishing Co. 2002, pp. 123-130.
V. Barbu, M.L. Bernardi, P. Colli, G. Gilardi: Optimal control problems of phase relaxation models J. Optim. Theory Appl. 109 (2001) 557-585.
P. Colli, G. Gilardi, M. Grasselli, G. Schimperna: Global existence for the conserved phase field model with memory and quadratic nonlinearity Portugal. Math. 58 (2001) 159-170.
P. Colli, G. Gilardi, M. Grasselli, G. Schimperna: The conserved phase-field system with memory Advances Math. Sci. Appl. 11 (2001) 265-291.
V. Barbu, P. Colli, G. Gilardi, M. Grasselli: Existence, uniqueness, and longtime behavior for a nonlinear Volterra integrodifferential equation Differential Integral Equations, 13 (2000) 1233-1262.
G. Gilardi: The conserved phase field system with memory in Free boundary problems: theory and applications Proc. International Conference, Chiba, Japan, November 8-13,1999. N. Kenmochi (ed.), Gakuto Internat. Ser. Math. Sci. Appl., 13, Gakkotosho, Tokyo, 2000, 80-88.
G. Gilardi, P. Krejcí, J. Sprekels: A hysteresis approach to phase-field models with thermal memory Math. Methods Appl. Sci., 23 (2000) 909-922.
P. Colli, G. Gilardi, M. Grasselli: Asymptotic analysis of a phase field model with memory for vanishing time relaxation Hiroshima Math. J. 29 (1999) 117-143.
P. Colli, G. Gilardi, M. Grasselli: Asymptotic justification of the phase-field model with memory Comm. Appl. Nonlinear Anal. 6 (1999) 1-27. Errata, Comm. Appl. Nonlinear Anal. 7 (2000) 101-102.
P. Colli, G. Gilardi, P. Laurençot, A. Novick-Cohen: Uniqueness and long-time behaviour for the conserved phase-field system with memory Discrete Contin. Dynam. Systems, 5 (1999) 375-390.
P. Fernandes, G. Gilardi: A functional framework for electromagnetics under realistic assumptions proc, IV Congresso della S.I.M.A.I., 1-5 giugno 1998, Giardini Naxos, (1998) 56-58.
G. Geymonat, G. Gilardi: Contre-éxemples a l'inégalité de Korn et au lemme de Lions dans les domaines irréguliers in Équations aux dérivées partielles et applications, Articles dédiés a Jacques-Louis Lions, 541-548, Gauthier-Villars, Paris, 1998.
P. Colli, G. Gilardi, M. Grasselli: Global smooth solution to the standard phase-field model with memory Advances in Differential Equations, 2 (1997) 453-486.
P. Colli, G. Gilardi, M. Grasselli: Weak solution to a hyperbolic Stefan problem with memory NoDEA Nonlinear differ. equ. appl., 4 (1997) 123-132.
P. Colli, G. Gilardi, M. Grasselli: Well-posedness of the weak formulation for the phase-field model with memory Advances in Differential Equations, 2 (1997) 487-508.
P. Fernandes, G. Gilardi: Magnetostatic and electrostatic problems in inhomogeneous anisotropic media with irregular boundary and mixed boundary conditions M 3AS Math. Models Methods Appl. Sci., 7 (1997) 957-991.
G. Gilardi, S. Luckhaus: A regularity result for the solution of the dam problem Nonlinear Analysis TMA, 26 (1996) 113-138.
P. Colli, G. Gilardi, M. Grasselli: Convergence of phase field to phase relaxation models with memory Ann. Univ. Ferrara, Sez. VII, Sc. Mat., XLI (1995) 1-14.
J. Carrillo, J.I. Díaz, G. Gilardi: The propagation of the free boundary of the solution in the dam problem and related problems Applicable Analysis, 49 (1993) 255-276.
G. Gilardi: Recent results on the dam problem in Boundary Value Problems for Partial Differential Equations, Lions J.-L. & Baiocchi C. eds., Res. Notes Appl. Math. 29, 387-392, Masson, Paris, 1993.
G. Gilardi, D. Kröner: The dam problem in unbounded domains Ann. Mat. Pura Appl., (IV) CLXIV (1993) 321-364.
G. Gilardi: The support of the solution in the dam problem in Free boundary problems in fluid flow with applications, (Montreal, PQ, 1990) 151-156, Pitman Res. Notes Math. Ser., 282, Longman Sci. Tech., Harlow, 1993.
G. Gilardi, S. Luckhaus: Extension of a regularity result concerning the dam problem Rend. Mat. Acc. Lincei, s. 9, 2 (1991) 287-296.
J. Carrillo, G. Gilardi: La vitesse de propagation dans le problème de la digue Ann. Faculté des Sciences de Toulouse, 11 (1990) 7-28.
G. Gilardi: Filtration problems in unbounded domains in Free Boundary Problems: Theory and Applications, proc. International Colloquium on Free Boundary Problems: Theory and Applications, Irsee/Bavaria, June 11-20, 1987, Hoffmann & Sprekels eds., Vol. I 428-431, Longman, 1990.
F. Gastaldi, G. Gilardi: A class of noncoercive variational inequalities Comm. on Partial Diff. Equations, 14 (1989) 1471-1507.
F. Gastaldi, G. Gilardi: On a definition of seminorm in Ws,p(Gamma) Revista Matematica Univ. Complutense Madrid, 2 (1989) 229-240.
G. Gilardi: The speed of propagation in the dam problem proc. "I Reunion Hispano-Italiana de Análisis non Lineal y Matemática Aplicada", El Escorial, June 5-9, 1989, pubbl. IAC-CNR 27 (1989) 99-106.
G. Gilardi: Realtà e astrazione: oltre gli spazi di dimensione finita L'insegnamento della matematica e delle scienze integrate, 10 (1987) 951-976.
F. Brezzi, G. Gilardi: Fundamentals of P.D.E. for numerical analysis pubbl. IAN-CNR 446 (1984) 1-183.
H.W. Alt, G. Gilardi: The free boundary in the dam problem in Free boundary problems: theory and applications, proc. Interdisciplinary Symposium on Free Boundary Problems: Theory and Applications, Montecatini/Italia, June 17-26, 1981, Fasano & Primicerio eds., Vol. I, Pitman, London, 1983 69-76.
L. Gastaldi, G. Gilardi: An error estimate for an approximation of a parabolic variational inequality BUMI 1-B (1982) 501-521.
G. Gilardi: Proprietà della frontiera libera in un problema di filtrazione Rend. Sem Mat. Fis. Milano, LI (1981) 125-132.
H.W. Alt, G. Gilardi: The behaviour of the free boundary for the dam problem Ann. Sc. Norm. Sup. Pisa (IV) IX (1981) 571-626.
G. Gilardi: The behaviour of the free boundary near the fix boundary in the dam problem in Recent methods in nonlinear analysis and applications, proc. Sem. SAFA IV, Napoli, March 21-28, 1980, eds. Rionero & al., 347-354, Liguori, 1981.
L.A. Caffarelli, G. Gilardi: Monotonicity of the free boundary in the two-dimensional dam problem Ann. Sc. Norm. Sup. Pisa (IV) VII (1980) 523-537.
G. Gilardi: The evolution dam problem in Free Boundary Problems, proc. Sem. Pavia September-October 1979, Ist. Naz. di Alta Matematica, Vol. I, 209-217, Roma, 1980.
M.L. Bernardi, E. Gagliardo, G. Gilardi: Abiomelos 1979: mathematical structures for harmony and melody Ist. Lombardo Accad. Sci. Lett. Rend. A 113 (1979) 265-273.
F. Bonomi, P. Colli Franzone, P. De Maria, G. Gilardi, M. Stefanelli: Simulation of neutrophil production and control in man pubbl. IAN-CNR 226 (1979) 1-7.
G. Gilardi: A new approach to evolution free boundary problems Comm. on Partial Diff. Equations, 4 (1979) 1099-1123.
G. Gilardi: Studio di una disequazione quasivariazionale relativa ad un problema di filtrazione in tre dimensioni Ann. Mat. Pura Appl. (IV) CXIII (1977) 1-17.
G. Gilardi: Studio di una famiglia di disequazioni quasi-variazionali connessa con un problema di filtrazione BUMI 13-B (1976) 138-159.
G. Gilardi: Sul problema misto del tipo Dirichlet-Neumann per un'equazione ellittica non lineare Ist. Lombardo Accad. Sci. Lett. Rend. A 108 (1974) 525-556.
G. Gilardi: Teoremi di regolarità per la soluzione di un'equazione differenziale astratta del secondo ordine Ist. Lombardo Accad. Sci. Lett. Rend. A 106 (1972) 641-675.