ELENCO PUBBLICAZIONI

Preprints

1. M.Amar, M. Chiricotto, L. Giacomelli, G. Riey : Mass-constrained minimization of a one-homogeneous functional with linear growth arising in strain-gradient plasticity. - submitted.
2. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: A hierarchy of models for the electrical conductions in biological tissues in the radiofrequency range: the nonlinear case. - in preparation.
   

Pubblicazioni su riviste

1. M.Amar: G-convergence of quasi-linear ordinary differential operators of monotone type. – Annali dell'Università di Ferrara, sez. VII, Sc. Mat., vol. XXXVI, (1990), pp. 113-141.
2. M.Amar, T.Norando: On the Green's function for parabolic equation in non-divergence form. – Bollettino U.M.I., vol. (7) 6-B, (1992), pp. 703-731.
3. M.Amar, V.De Cicco: The uniqueness as a generic property of the image segmentation problem. – Rendiconti del Seminario Matematico Università di Padova, vol. 88, (1992), pp. 151--173.
4. M.Amar, A.Cellina: On passing to the limit for non convex variational problems. - Asymptotic Analysis, vol. 9, (1994), pp. 135-148.
5. M.Amar, V.De Cicco: Relaxation for quasi-convex integrals of arbitrary order. - Proc. Royal Society of Edinburgh, vol. 124-A, (1994), pp. 927-946.
6. M.Amar, G.Bellettini: A notion of total variation depending on a metric with discontinuous coefficients. – Annales de l'Institute Henri Poincaré, Analyse Non Linéaire, vol. (1) 11, (1994), pp. 91-133.
7. M.Amar, C.Mariconda: A non-convex variational problem with constraints. - S.I.A.M J. of Optimal Control, vol. (1) 33, (1995), pp. 1-10.
8. M.Amar, G.Bellettini: Approximation by G-convergence of a total variation with discontinuous coefficients. - Asymptotic Analysis, vol. 10, (1995), pp. 1-19.
9. M.Amar, G.Bellettini: A total variation with discontinuous coefficients: variational properties and approximation by G-convergence. - Proceedings del convegno “Nonlinear analysis-Calculus of variations”, Perugia, Maggio 1993; atti Sem. Mat. Fis. Univ. Modena, vol. XLIII (1995), pp. 431-435.
10. M.Amar, A.Cellina, C.Mariconda: Some non-convex variational problems. - Proceedings del convegno “Nonlinear analysis-Calculus of variations”, Perugia, Maggio 1993, Atti Sem. Mat. Fis. Univ. Modena, vol. XLIII (1995), pp. 437-442.
11. M.Amar, A.Braides: A characterization of variational convergence for segmentation problems. - Discrete and Continuous Dynamical Systems, vol. (3) 1, (1995), pp. 347-369.
12. M.Amar: Integral representation of functionals defined on curves of W^1,1_loc(R). - Bollettino U.M.I., vol. (7) 10-B, (1996), pp.359-380.
13. M.Amar, G.Bellettini, S.Venturini: Integral representation of functionals defined on curves of W^1,p. - Proc. Royal Society of Edinburgh, vol. 128 A, (1998), pp. 193-217.
    
14. M.Amar, E.Vitali: Homogenization of periodic Riemannian metrics. - J. Convex Analysis, Vol. (1) 5, (1998), pp. 171-186.
15. M.Amar, A.Braides: G-convergence of non-convex functionals defined on measures. - Nonlinear Analysis, vol. 34, (1998), pp. 953-978.
16. M.Amar: Two-scale convergence and homogenization on BV(W). - Asymptotic Analysis, vol. 16, (1998), pp. 65-84.
17. G.Allaire, M.Amar: Boundary layer tails in periodic homogenization. - ESAIM: Control, Optimization and Calculus of Variations, vol. 4, (1999), pp. 209-243.
18. M.Amar, M.Tarallo, S.Terracini: On the exponential decay for boundary layer problems. - C.R. Acad. Sci. Paris, t. 328, série I, (1999) pp. 1139-1144.
19. M.Amar: A note on boudary layer effects in periodic homogenization with Dirichlet boundary conditions. - Discrete and continuous dynamical systems, vol. (6) 3,(2000), pp. 537-556.
20. M.Amar, R.Gianni: Almost-periodic solutions of elliptic and parabolic equations in unbounded domains. - Proc. Royal Society of Edinburgh, vol. 132 A, (2002), pp. 1275-1306.
21. M.Amar, A.Garroni: G-convergence of concentration problems. - Ann. Scuola Norm. Sup. Pisa Cl. Sci., vol. (1)II, Serie V, (2003), pp.151-179.
22. M.Amar, L. Berrone, R.Gianni: Asymptotic expansions for membranes subjected to a lifting force in a part of their boundary. – Asympotitc Analysis, vol. 36, (2003), pp. 319-343.
23. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Homogenization limit for electrical conduction in biological tissues in the radiofrequency range. - C.R. Mecanique, vol. 331, (2003), pp. 503-508.
24. M.Amar, R.Gianni: Effective saturation for composite porous media. – Atti Accad. Naz. Lincei Rend. Cl. Sci. Fis. Mat. Natur., Serie IX, Vol. XIV (4), (2003), PP. 297-305.
25. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Evolution and memory effects in the homogenization limit for electrical conduction in biological tissues. - M³AS, Vol. 14(9), (2004), pp. 1261-1295.
    
26. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: An elliptic equation with memory. – C.R. Acad. Sci. Paris, Ser. I 338, (2004), pp. 595-598.
27. M.Amar, A.Dall'Aglio, F.Paronetto: Homogenization of forward-backward parabolic equations. - Asymptotic Analysis, vol. 42(1,2), (2005), pp. 123-132.
28. M.Amar, A.Dall'Aglio, F.Paronetto: Homogenization of changing-type evolution equations.– Convex Analysis, Vol. 12, (2005), No. 1, pp. 221-237.
29. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Existence and uniqueness for an elliptic problem with evolution arising in electrodynamics. – Nonlinear Analysis: RealWorld Applications, Vol. 6, (2005), pp. 367-380.
30. M.Amar, V.De Cicco: A new approximation result for BV-functions. - C.R. Acad. Sci. Paris., Ser. I 340, (2005), pp. 735-738.
31. M. Amar, R. Gianni: A brief survey on homogenization with a physical application. - MAT - Serie A, Rosario, #9 (2005).
32. M.Amar, V.De Cicco: Quasy-polyedral approximation of $BV$-functions. - Ricerche di matematica, Vol. LIV, 2, (2005), pp. 485-490.
33. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: On a hierarchy of models for electrical conduction in biological tissues. - M²AS, Vol. 29, (2006), pp. 767-787.
34. M.Amar, V.De Cicco, N.Fusco: A relaxation result in BV for integral functionals with discontinuous integrand. - ESAIM: Control, Optimization and Calculus of Variations, Vol. 13 (2), (2007), pp. 396-412.
35. M.Amar, V.De Cicco: Relaxation in BV for a class of functionals without continuity assumptions. - NoDEA Nonlinear Differential Equations Appl., Vol. 15, (2008), pp. 25-44.
36. M.Amar, V.De Cicco, N.Fusco: Lower semicontinuity and relaxation results in BV for integral functionals with BV integrands. - ESAIM: Control, Optimization and Calculus of Variations, Vol. 14, (2008), pp. 456-477.
37. M.Amar, V.De Cicco, P.Marcellini, E.Mascolo: Weak lower semicontinuity for non coercive polyconvex integrals. -Advances in Calculus of Variations, Vol. 1 (2), (2008), pp. 171-191.
38. M.Amar, L.R. Berrone, R.Gianni: A non local quantitative characterization of ellipses leading to a solvable differential relation. -  J. Inequal. in Pure & Appl. Math. Vol. 9 (4), (2008), art. 94, 14pp.
39. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Stability and memory effects in a homogenized model governing the electrical conduction in biological tissues. - Journal of Mechanics of Materials and Structures, Vol. 4 (2), (2009), pp. 211-223.
40. M.Amar, G.Crasta, A.Malusa: On the Finsler metric obtained as limits of chessboard structures. - Advances in Calculus of Variations, Vol. 2, (2009), pp. 321-360.
41. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Exponential asymptotic stability for an elliptic equation with memory arising in electrical conduction. - Euro. Jnl. of Applied Mathematics Vol. 20, (2009), pp.431-459.
42. M.Amar, V.De Cicco, N.Fusco: Lower semicontinuity results for free continuity energies. - M³AS, Vol. (5) 20,  (2010), pp. 707-730.
43. M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Homogenization limit and asymptotic decay for electrical conduction in biological tissues in the high radiofrequency range. - Communications on Pure and Applied Analysis, Vol. (5) 9, (2010), pp. 1131-1160.

Pubblicazioni su atti di convegni

• M.Amar, P.Muliere, P.Secchi: Una nota sul problema della stabilità delle decisioni Bayesiane. - Atti della XXXVIII Riunione Scientifica della S.I.S., Rimini 9--13 Aprile 1996, vol. II, Maggioli Editore, pp. 337-344.
• M.Amar : Shape reconstruction for membranes subjected to lifting forces. – Atti del VI Congresso S.I.M.A.I., Chia Laguna 27—31 Maggio 2002.
• M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Evolution and memory effects in the homogenization limit for electrical conduction in biological tissues: the 1-D case.- XVI Congresso AIMETA di Meccanica Teorica e Applicata.
• M.Amar, V.De Cicco: Quasy-polyedral approximation of $BV$-functions. - Poster per il convegno ``The Renato Caccioppoli Centenary Conference", Napoli 2004.
• M.Amar, D.Andreucci, P.Bisegna, R.Gianni: Applications of homogenization techniques to the electrical conduction in biological tissues. - PAMM - Proc. Appl. Math. Mech., 7 2010013–2010014 (2007) / DOI 10.1002/pamm.200700041 (Proceedings ICIAM 2007).
  

Pubblicazioni didattiche

• M.Amar, A.M.Bersani: Esercizi di Analisi Matemtica per i nuovi corsi di laurea. – Edizioni Progetto Leonardo, Bologna, 2002. (Errata corrige)
• M.Amar, A.M.Bersani: Esercizi di Analisi Matemtica per i nuovi corsi di laurea. II Edizione riveduta ed ampliata – Edizioni Progetto Leonardo, Bologna, 2004. (Errata corrige).
• M.Amar: Semicontinuità e Rilassamento. – Quaderno di dottorato n.1, Pubblicazioni Me.Mo.Mat., 2004.
• M.Amar, A.M.Bersani: Esercizi di Analisi Matemtica I con elementi di teoria – Edizioni Progetto Leonardo, Bologna, 2011. (Errata corrige).

Tesi

• M.Amar: G-convergence of quasi-linear ordinary differential operators of monotone type. – Tesi di Magster Philosophiae - S.I.S.S.A. (1990).
• M.Amar: Relaxation and approximation of variational problems with linear growth. – Tesi di Doctor Philosophiae - S.I.S.S.A. (1993).