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MATH-03/A – Analisi matematica
Attività curriculare
Professore Associato di Analisi Matematica.
Titolare dei seguenti insegnamenti, a. a. 2026/27:
Matematica - LT Ingegneria Informatica;
Matematica II - LT Ingegneria Elettronica\Biomedica;
Complementi di Matematica - LM Ingegneria Energetica, LM Ingegneria Civile (esame a scelta).
Principali interessi di ricerca riguardano la regolarità dei minimi di funzionali integrali del calcolo delle variazioni. In particolare, si studiano problemi di semicontinuità inferiore e regolarità parziale, nel caso vettoriale, relativamente a funzionali convessi e quasiconvessi con condizioni di crescita non standard.
Tra le più recenti pubblicazioni scientifiche vi sono:
1.Carozza M, De Filippis F, Giova R, Leonetti F (2026) Energy approximation for some double
2. Carozza M, Esposito L, Lamberti L (2025) Quasiconvex bulk and surface energies with
subquadratic growth, Mathematics in Engineering, Vol. 7. 228-263, ISSN:2640-3501, DOI:
10.3934/mine.2025011, SCOPUS: 2-s2.0-105005390072
3. Carozza M, Esposito L, Lamberti L (2024) Quasiconvex bulk and surface energies: C^{1,α}
regularity, Advances in Nonlinear Analysis, DOI: 10.1515/anona-2024-0021. WOS:
001303145200001
4. Carozza M, Esposito L, Giova R, Leonetti F (2023). Polyconvex functionals and maximum
principle, Mathematics in Engineering, 5(4): 1–10. DOI: 10.3934/mine.2023077
5. Carozza M, Esposito L, Leonetti F (2021). Estimates for minimizers of some relaxed
polyconvex functionals, Nonlinear Analysis, Vol. 209, Article number 1850036 ISSN: 0362-
546X vol. 209, doi:10.1016/j.na.2021.112334
6. Carozza M, Cianchi A (2021). Continuity properties of weakly monotone Orlicz-Sobolev
functions, Advances in Calculus of Variations, ISSN: 1864-8266, Vol.14 (1), pp.107-126,
7. Carozza M, Kristensen J, Passarelli di Napoli A (2021). A trace preserving operator and
applications, Journal of Mathematical Analysis and Applications, ISSN:1096-
0813,Vol.501,Issue1, https://doi.org/10.1016/j.jmaa.2020.124170
8. Carozza M, Giannetti F, Leonetti F, Passarelli di Napoli A (2018). Convex components,
Communications in Contemporary Mathematics, Vol. 21 Issue 6,1, Article
number 1850036 ISSN: 0219-1997, doi:10.1142/S0219199718500360
9. Carozza M, Gao H, Giova R, Leonetti F (2018). A Boundedness Result for Minimizers of
Some Polyconvex Integrals, Journal of Optimization Theory and Applications, vol. 178,
Issue 3, pp. 699-725, ISSN: 0022-3239, doi: 10.1007/s10957-018-1335-0
10. Carozza M, Giannetti F, Passarelli di Napoli A, Sbordone C, Schiattarella R (2018). Bi
Sobolev mappings and Kp-distortions in the plane, Journal of Mathematical Analysis and
Applications, vol. 457, pp. 1232-1246, ISSN: 0022-247X, doi: 10.1016/j.jmaa.2017.02.050
11. Carozza M, Giannetti F, Leonetti F, Passarelli di Napoli A (2018). Pointwise bounds for
minimizers of some anisotropic functionals, Nonlinear Analysis, vol. 177, pp. 254-269, ISSN:
0362-546X, doi: 10.1016/j.na.2017.10.005
12. Carozza M, Cianchi A (2018). On the continuity of weakly monotone functions, Nonlinear
Analysis, vol. 177, pp. 238-253, ISSN: 1751-570X, doi: 10.1016/j.na.2018.04.016
13. Carozza, M, Fonseca I, Passarelli di Napoli A (2018). Regularity Results for an Optimal
Design Problem with Quasiconvex Bulk Energies, Calculus of Variations and Partial
Differential Equations, vol. 57 (2), ISSN: 0944-2669, doi: 10.1007/s00526-018-1343- 9
Associate Professor of Mathematical Analysis.
Course Instructor for the academic year 2026/27:
- Mathematics
– Bachelor's Degree (LT) in Computer Engineering; - Mathematics II
– Bachelor's Degree (LT) in Electronic/Biomedical Engineering; - Complements of Mathematics – Master's Degree (LM) in Energy Engineering, Master's Degree (LM) in Civil Engineering (Elective course).
Main research interests focus on the regularity of minimizers of integral functionals in the calculus of variations. In particular, the research addresses lower semicontinuity and partial regularity in the vectorial case, regarding convex and quasiconvex functionals under non-standard growth conditions.
Recent scientific publications :
1.Carozza M, De Filippis F, Giova R, Leonetti F (2026) Energy approximation for some double
2. Carozza M, Esposito L, Lamberti L (2025) Quasiconvex bulk and surface energies with
subquadratic growth, Mathematics in Engineering, Vol. 7. 228-263, ISSN:2640-3501, DOI:
10.3934/mine.2025011, SCOPUS: 2-s2.0-105005390072
3. Carozza M, Esposito L, Lamberti L (2024) Quasiconvex bulk and surface energies: C^{1,α}
regularity, Advances in Nonlinear Analysis, DOI: 10.1515/anona-2024-0021. WOS:
001303145200001
4. Carozza M, Esposito L, Giova R, Leonetti F (2023). Polyconvex functionals and maximum
principle, Mathematics in Engineering, 5(4): 1–10. DOI: 10.3934/mine.2023077
5. Carozza M, Esposito L, Leonetti F (2021). Estimates for minimizers of some relaxed
polyconvex functionals, Nonlinear Analysis, Vol. 209, Article number 1850036 ISSN: 0362-
546X vol. 209, doi:10.1016/j.na.2021.112334
6. Carozza M, Cianchi A (2021). Continuity properties of weakly monotone Orlicz-Sobolev
functions, Advances in Calculus of Variations, ISSN: 1864-8266, Vol.14 (1), pp.107-126,
7. Carozza M, Kristensen J, Passarelli di Napoli A (2021). A trace preserving operator and
applications, Journal of Mathematical Analysis and Applications, ISSN:1096-
0813,Vol.501,Issue1, https://doi.org/10.1016/j.jmaa.2020.124170
8. Carozza M, Giannetti F, Leonetti F, Passarelli di Napoli A (2018). Convex components,
Communications in Contemporary Mathematics, Vol. 21 Issue 6,1, Article
number 1850036 ISSN: 0219-1997, doi:10.1142/S0219199718500360
9. Carozza M, Gao H, Giova R, Leonetti F (2018). A Boundedness Result for Minimizers of
Some Polyconvex Integrals, Journal of Optimization Theory and Applications, vol. 178,
Issue 3, pp. 699-725, ISSN: 0022-3239, doi: 10.1007/s10957-018-1335-0
10. Carozza M, Giannetti F, Passarelli di Napoli A, Sbordone C, Schiattarella R (2018). Bi
Sobolev mappings and Kp-distortions in the plane, Journal of Mathematical Analysis and
Applications, vol. 457, pp. 1232-1246, ISSN: 0022-247X, doi: 10.1016/j.jmaa.2017.02.050
11. Carozza M, Giannetti F, Leonetti F, Passarelli di Napoli A (2018). Pointwise bounds for
minimizers of some anisotropic functionals, Nonlinear Analysis, vol. 177, pp. 254-269, ISSN:
0362-546X, doi: 10.1016/j.na.2017.10.005
12. Carozza M, Cianchi A (2018). On the continuity of weakly monotone functions, Nonlinear
Analysis, vol. 177, pp. 238-253, ISSN: 1751-570X, doi: 10.1016/j.na.2018.04.016
13. Carozza, M, Fonseca I, Passarelli di Napoli A (2018). Regularity Results for an Optimal
Design Problem with Quasiconvex Bulk Energies, Calculus of Variations and Partial
Differential Equations, vol. 57 (2), ISSN: 0944-2669, doi: 10.1007/s00526-018-1343- 9