Salvatore Angelo MARANO
S.A. Marano si è laureato in Matematica presso l'Università di Catania nel 1987 ed è professore ordinario di Analisi Matematica dal 2001. Ha scritto circa 100 articoli di ricerca pubblicati su riviste internazionali e svolto ricerche in collaborazione con studiosi italiani e stranieri. Nel 1989 gli è stato conferito il premio per giovani ricercatori di Scienze Matematiche indetto dall'Accademia Gioenia di Catania e nel 1991 ha vinto uno dei tre premi messi a concorso dalla Fondazione "Francesco Severi" di Arezzo. E' stato visiting professor presso le università di Torun, di Evora e di Perpignan. Dal 2015 al 2021 ha fatto parte della Commissione scientifica dell'UMI. Attualmente è membro del Consiglio scientifico del GNAMPA nonché del comitato editoriale di alcune riviste internazionali.
Scientific works of Salvatore A. Marano (June 2025)
1) S.A. Marano, Generalized solutions of partial differential inclusions depending on a parameter, Rend. Accad. Naz. Sci. XL Mem. Mat. Appl. 13 (1989), 281-295.
2) S.A. Marano, Controllability of partial differential inclusions depending on a parameter and distributed parameter control processes, Matematiche (Catania) 45 (1990), 283-300.
3) S.A. Marano, Classical solutions of partial differential inclusions in Banach spaces, Appl. Anal. 42 (1991), 127-143.
4) G. Bonanno - S.A. Marano, Random differential inclusions depending on a parameter, J. Math. Anal. Appl. 161 (1991), 35-49.
5) S.A. Marano, Classical solutions of hyperbolic partial differential equations with implicit mixed derivative, Ann. Polon. Math. 56 (1992), 163-178.
6) S.A. Marano, Existence theorems for a multivalued boundary value problem, Bull. Aust. Math. Soc. 45 (1992), 249-260.
7) G. Bonanno - S.A. Marano, Higher order ordinary differential equations, Differ-ential Integral Equ. 6 (1993), 1119-1123.
8) S.A. Marano, On a boundary value problem for the differential equation f(t,x,x',x'')=0, J. Math. Anal. Appl. 182 (1994), 309-319.
9) S.A. Marano, A remark on a second-order three-point boundary value problem, J. Math. Anal. Appl. 183 (1994), 518-522.
10) S.A. Marano, Existence theorems for a semilinear elliptic boundary value problem, Ann. Polon. Math. 60 (1994), 57-67.
11) S.A. Marano, A remark on a third-order three-point boundary value problem, Bull. Aust. Math. Soc. 49 (1994), 1-5.
12) G. Bonanno - S.A. Marano, A remark on some existence and uniqueness theorems for a fourth order boundary value problem, Appl. Anal. 55 (1994), 185-187.
13) A. Majorana - S.A. Marano, Continuous solutions of a nonlinear integral equation on an unbounded domain, J. Integral Equ. Appl. 6 (1994), 119-128.
14) A. Majorana - S.A. Marano, Boundary value problems for higher order ordinary differential equations, Comment. Math. Univ. Carolinae 35 (1994), 451-466.
15) S.A. Marano, Implicit elliptic differential equations, Set-Valued Anal. 2 (1994), 545-558.
16) S.A. Marano, Fixed points of multivalued contractions with non-closed, non-convex values, Atti Accad. Naz. Lincei. Rend. Lincei Mat. Appl. (9) 5 (1994), 203-212.
17) S. Bonafede - S.A. Marano, Implicit parabolic differential equations, Bull. Aust. Math. Soc. 51 (1995), 501-509.
18) S.A. Marano, Elliptic boundary-value problems with discontinuous nonlinear-ities, Set-Valued Anal. 3 (1995), 167-180.
19) G. Bonanno - S.A. Marano, A characterization of the existence of solutions to some higher order boundary value problems, Comment. Math. Univ. Carolinae 36 (1995), 459-460.
20) L. Górniewicz - S.A. Marano - M. Ślosarski, Fixed points of contractive multivalued maps, Proc. Amer. Math. Soc. 124 (1996), 2675-2683.
21) L. Górniewicz - S.A. Marano, On the fixed point set of multivalued contractions, Rend. Circ. Mat. Palermo Suppl. 40 (1996), 139-145.
22) G. Bonanno - S.A. Marano, Positive solutions of elliptic equations with discontinuous nonlinearities, Topol. Methods Nonlinear Anal. 8 (1996), 263-273.
23) S.A. Marano, Implicit elliptic boundary-value problems with discontinuous nonlinearities, Set-Valued Anal. 4 (1996), 287-300.
24) G. Bonanno - S.A. Marano, Highly discontinuous elliptic problems, Proceedings of the International Conference on Dynamical Systems and Differential Equations, Springfield (MO), 1996.
25) A. Majorana - S.A. Marano, Space homogeneous solutions to the Cauchy problem for semiconductor Boltzmann equations, SIAM J. Math. Anal. 28 (1997), 1294-1308.
26) S.A. Marano - V. Staicu, On the set of solutions to a class of nonconvex nonclosed differential inclusions, Acta Math. Hungarica 76 (1997), 287-301.
26 bis) S.A. Marano - V. Staicu, Correction to the paper `On the set of solutions to a class of nonconvex nonclosed differential inclusions', Acta Math. Hungarica 78 (1998), 267-268.
27) S.A. Marano, Elliptic eigenvalue problems with highly discontinuous nonlinearities, Proc. Amer. Math. Soc. 125 (1997), 2953-2961.
28) S.A. Marano, Elliptic equations and differential inclusions, Proc. of the Second World Congress of Nonlinear Analysts, Nonlinear Anal. 30 (1997), 1763-1770.
29) S.A. Marano, Fixed points of multivalued contractions, Rend. Circ. Mat. Palermo Suppl. 48 (1997), 171-177.
30) D. Averna - S.A. Marano, Existence of solutions for operators inclusions: a unified approach, Rend. Semin. Mat. Univ. Padova 102 (1999), 285-303.
31) D. Averna - S.A. Marano, Existence theorems for inclusions of the type Ψ(u)(t)Î F(t,Φ(u)(t)), Appl. Anal. 72 (1999), 449-458.
32) G. Bonanno - S.A. Marano, Elliptic equations in Rn with discontinuous nonlinearities, Proc. Edinburgh Math. Soc. 43 (2000), 545-558.
33) S.A. Marano - D. Motreanu, Existence of two nontrivial solutions for a class of elliptic eigenvalue problems, Arch. Math. 75 (2000), 53-58.
34) S.A. Marano, Existence results for the equation -Du=f(x,u) in Rn, Z. Anal. Anwend. 19 (2000), 575-582.
35) G. Bonanno - S.A. Marano, Fixed points in ordered Banach spaces and applications to elliptic boundary-value problems, in “Equilibrium Problems: Non-smooth Optimization and Variational Inequality Models” (F. Giannessi, A. Maugeri, and P. Pardalos eds), Kluwer, Dordrecht, 2001, pp. 25-31.
36) S.A. Marano - D. Motreanu, On a three critical points theorem for non-differentiable functions and applications to nonlinear boundary value problems, Nonlinear Anal. 48 (2002), 37-52.
37) S.A. Marano - D. Motreanu, Infinitely many critical points of non-differentiable functions and applications to a Neumann type problem involving the p-Laplacian, J. Differential Equations 182 (2002), 108-120.
38) S.A. Marano - D. Motreanu, A deformation theorem and some critical point results for non-differentiable functions, Topol. Methods Nonlinear Anal. 22 (2003), 139-158.
39) G. Barletta - S.A. Marano, Some remarks on critical point theory for locally Lipschitz functions, Glasgow Math. J. 45 (2003), 131-141.
40) G. Barletta - S.A. Marano, The structure of the critical set in the Mountain-Pass Theorem for nondifferentiable functions, Differential Integral Equ. 16 (2003), 1001-1012.
41) S.A. Marano - D. Motreanu, A critical point result for non-differentiable indefinite functionals, Comment. Math. Univ. Carolinae 45 (2004), 663-679.
42) R. Livrea - S.A. Marano, Existence and classification of critical points for non- differentiable functions, Adv. Differential Equ. 9 (2004), 961-978.
43) A. Majorana - S.A. Marano, On the Cauchy problem for spatially homogeneous semiconductor Boltzmann equations: existence and uniqueness, Ann. Mat. Pura Appl. 184 (2005), 275-296.
44) P. Candito - S.A. Marano - D. Motreanu, Critical points for a class of non-differentiable functions and applications, Discrete Contin. Dyn. Syst. 13 (2005), 175-194.
45) S.A. Marano - N.S. Papagerogiou, On some elliptic hemivariational and variational-hemivariational inequalities, Nonlinear Anal. 62 (2005), 757-774.
46) S.A. Marano, Risultati di esistenza per alcune classi di disequazioni variazionali-emivariazionali di tipo ellittico, Matematiche (Catania) 60 (2005), 279-288.
47) R. Livrea - S.A. Marano - D. Motreanu, Critical points for nondifferentiable functions in presence of splitting, J. Differential Equations 226 (2006), 704-725.
48) S.A. Marano - N.S. Papageorgiou, On a Neumann problem with p-Laplacian and non-smooth potential, Differential Integral Equ. 19 (2006), 1301-1320.
49) S.A. Marano - G. Molica Bisci, Multiplicity results for a Neumann problem with p-Laplacian and non-smooth potential, Rend. Circ. Mat. Palermo 55 (2006), 113-122.
50) S.A. Marano - G. Molica Bisci - D. Motreanu, Multiple solutions for a class of elliptic hemivaritional inequalities, J. Math. Anal. Appl. 337 (2008), 85-97.
51) D. Averna - S.A. Marano - D. Motreanu, Multiple solutions for a Dirichlet problem with p-Laplacian and set-valued nonlinearity, Bull. Aust. Math. Soc. 77 (2008), 285-303.
52) R. Livrea - S.A. Marano, A min-max principle for non-differentiable functions with a weak compactness condition, Comm. Pure Appl. Anal. 8 (2009), 1019-1029.
53) S.A. Marano - D. Motreanu, Critical points of non-smooth functions with a weak compactness condition, J. Math. Anal. Appl. 358 (2009), 189-201.
54) R. Livrea - S.A. Marano, On a min-max principle for non-smooth functions and applications, Comm. Appl. Anal. 13 (2009), 411-430.
55) G. Bonanno - S.A. Marano, On the structure of the critical set of non-differentiable functions with a weak compactness condition, Appl. Anal. 89 (2010), 1-10.
56) R. Livrea - S.A. Marano, Non-smooth critical point theory, in D.Y. Gao and D. Motreanu (Eds), Handbook of Nonconvex Analysis and Applications, pp. 353-408, International Press, 2010.
57) N.S. Papageorgiou - S.A. Marano, On a Neumann problem with p-Laplacian and noncoercive resonant nonlinearity, Pacific J. Math. 253 (2011), 103-123.
58) S.A. Marano - N.S. Papageorgiou, Constant-sign and nodal solutions for a Neumann problem with p-Laplacian and equi-diffusive reaction term, Topol. Methods Nonlinear Anal. 38 (2011), 233-248.
59) G. D’Aguì - S.A. Marano - N.S. Papageorgiou, Multiple solutions to a Neumann problem with equi-diffusive reaction term, Discrete Contin. Dyn. Syst. S 5 (2012), 765-777.
60) S.A. Marano, On a Dirichlet problem with p-Laplacian and set-valued non-linearity, Bull. Aust. Math. Soc. 86 (2012), 83-89.
61) S.A. Marano - N.S. Papageorgiou, Positive solutions to a Dirichlet problem with p-Laplacian and concave-convex nonlinearity depending on a parameter, Comm. Pure Appl. Anal. 12 (2013), 815-829.
62) S.A. Marano - N.S. Papageorgiou, Multiple solutions to a Dirichlet problem with p-Laplacian and nonlinearity depending on a parameter, Adv. Nonlinear Anal. 1 (2012), 257-275.
63) A. Iannizzotto - S.A. Marano - D. Motreanu, Positive, negative, and nodal solutions to elliptic differential inclusions depending on a parameter, Adv. Nonlinear Stud. 13 (2013), 431-445.
64) S.A. Marano – D. Motreanu – D. Puglisi, Multiple solutions to a Dirichlet eigenvalue problem with p-Laplacian, Topol. Methods Nonlinear Anal. 42 (2013), 277-291.
65) S.A. Marano – N.S. Papageorgiou, Constant-sign and nodal solutions of coercive (p,q)-Laplacian problems, Nonlinear Anal. 77 (2013), 118-129.
66) S.A. Marano – S.J.N. Mosconi, Lower semi-continuous differential inclusions with p-Laplacian, Libertas Math. (New Series) 33 (2013), 109-123.
67) S.A. Marano – N.S. Papageorgiou, Constant-sign and nodal solutions to a Dirichlet problem with p-Laplacian and nonlinearity depending on a parameter, Proc. Edinburgh Math. Soc. 57 (2014), 521-532.
68) S.A. Marano – S.J.N. Mosconi, Non-smooth critical point theory on closed convex sets, Comm. Pure Appl. Anal. 13 (2014), 1187-1202.
69) S.A. Marano – S.J.N. Mosconi, Critical points on closed convex sets vs. critical points and applications, J. Convex Anal. 22 (2015), 1107-1124.
70) P. Candito – S.A. Marano – K. Perera, On a class of critical (p,q)-Laplacian problems, NODEA – Nonlinear Differ. Equ. Appl. 22 (2015), 1959-1972.
71) S.A. Marano – S.J.N. Mosconi, Multiple solutions to elliptic inclusions via critical point theory on closed convex sets, Discrete Contin. Dyn. Syst. Series A 35 (2015), 3087-3102.
72) S.A. Marano – N.S. Papageorgiou, On a Dirichlet problem with p-Laplacian and asymmetric nonlinearity, Atti Accad. Naz. Lincei. Rend. Lincei Mat. Appl. 26 (2015), 57-74.
73) S.A. Marano – S.J.N. Mosconi – N.S. Papageorgiou, Multiple solutions to (p,q)-Laplacian problems with resonant concave nonlinearity, Adv. Nonlinear Stud. 16 (2016), 51-65.
74) S.A. Marano – N.S. Papageorgiou, On a Robin problem with indefinite weight and asymmetric reaction superlinear at plus infinity, J. Math. Anal. Appl. 443 (2016), 123-145.
75) S.A. Marano – N.S. Papageorgiou, On a Robin problem with p-Laplacian and reaction bounded only from above, Monatsh. Math. 180 (2016), 317-336.
76) G. D'Aguì – S.A. Marano – N.S. Papageorgiou, Multiple solutions to a Robin problem with indefinite weight and asymmetric reaction, J. Math. Anal. Appl. 433 (2016), 1821-1845.
77) G. Barletta – P. Candito – S.A. Marano – K. Perera, Multiplicity results for critical p-Laplacian problems, Ann. Mat. Pura Appl. 196 (2017), 1431-1440.
78) S.A. Marano – S.J.N. Mosconi – N.S. Papageorgiou, On a (p,q)-Laplacian problem with parametric concave term and asymmetric perturbation, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 29 (2018), 109-125.
79) S.A. Marano – S.J.N. Mosconi, Some recent results on the Dirichlet problem for (p,q)-Laplace equations, Discr. Contin. Dyn. Syst. Series S 11 (2018), 279-291.
80) S.A. Marano – N.S. Papageorgiou, Asymmetric Robin problems with p-Laplacian and indefinite potential, Electron. J. Diffferential Equations, Vol. 2018 (2018), No. 127, pp. 1-21.
81) S.A. Marano – S.J.N. Mosconi, Asymptotics for optimizers of the fractional Hardy-Sobolev inequality, Comm. Contemp. Math. 21 (2019), 33 pages.
82) U. Guarnotta – S.A. Marano – N.S. Papageorgiou, Multiple nodal solutions to a Robin problem with sign-changing potential and locally defined reaction, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 30 (2019), 269-294.
83) S.A. Marano – G. Marino – A. Moussaoui, Singular quasilinear elliptic systems in Rn, Ann. Mat. Pura Appl. 198 (2019), 1581-1594.
84) S.A. Marano – G. Marino – N.S. Papageorgiou, On a Dirichlet problem with (p,q)-Laplacian and parametric concave-convex nonlinearity, J. Math. Anal. Appl. 475 (2019), 1093-1107.
85) S.A. Marano – P. Winkert, On a quasilinear elliptic problem with convection term and nonlinear boundary condition, Nonlinear Anal. 187 (2019), 159-169.
85 bis) S.A. Marano – P. Winkert, Corrigendum to On a quasilinear elliptic problem with convection term and nonlinear boundary condition [Nonlinear Anal. 187 (2019) 159-169], Nonlinear Anal. 189 (2019) 111578.
86) S.A. Marano – S. Mosconi, Quantitative truncation estimates for fractional Hardy-Sobolev optimizers, Matematiche (Catania) 75 (2020), 105-115.
87) U. Guarnotta – S.A. Marano – D. Motreanu, On a singular Robin problem with convection terms, Adv. Nonlinear Stud. 20 (2020), 895-909.
88) P. Candito – S.A. Marano – K. Perera, Pairs of nontrivial solutions to concave-linear-convex type elliptic problems, Comm. Contemp. Math. 23 (2021), paper no. 2050057.
89) U. Guarnotta – S.A. Marano, Infinitely many solutions to singular convective Neumann systems with arbitrarily growing reactions, J. Differential Equations 271 (2021), 849-863.
90) U. Guarnotta – S.A. Marano – A. Moussaoui, Singular quasilinear convective elliptic systens in RN, Adv. Nonlinear Anal. 11 (2022), 741-756.
91) U. Guarnotta – R. Livrea – S.A. Marano, Some recent results on singular p-Laplacian equations, Demonstratio Math. 55 (2022), 1-13.
92) U. Guarnotta – R. Livrea – S.A. Marano, Some recent results on singular p-Laplacian systems, Discrete Contin. Dyn. Syst Series S 16 (2023), 1435-1451.
93) U. Guarnotta – S.A. Marano – A. Moussaoui, Multiple solutions to quasi-linear elliptic Robin systems, Nonlinear Anal. Real World Appl. 71 (2023), 102818.
94) L. Gambera – S.A. Marano – D. Motreanu, Quasilinear Dirichlet systems with competing operators and convection, J. Math. Anal. Appl. 530 (2024), 127718.
95) U. Guarnotta – S.A. Marano, A note on gradient estimates for p-Laplacian equations, Boll. Unione Mat. Ital. 17 (2024), 391-399.
96) L. Gambera – S.A. Marano – D. Motreanu, Dirichlet problems with fractional competing operators and fractional convection, Fract. Calc. Appl. Anal. 27 (2024), 2203-2218.
97) L. Gambera – S.A. Marano, Fractional Dirichlet problems with singular and non-locally convective reaction, Adv. Nonlinear Anal., in press.
98) U. Guarnotta – S.A. Marano, Strong solutions to singular discontinuous p-Laplacian problems, Comm. Contemp. Math., in press.
99) J. Cen – S.A. Marano – S. Zeng, Differential inclusion systems with double phase competing operators, convection, and mixed boundary conditions, Appl. Math. Lett. 167 (2025), paper no. 109556.
100) J. Cen – S.A. Marano – S. Zeng, Differential inclusion systems with fractional competing operator and multivalued fractional convection term, preprint.
Educational publications
1) S.A. Marano, Equazioni differenziali e modelli matematici, Quaderni del Diparti-mento Patrimonio Architettonico e Urbanistico (2005/06), Gangemi Editre.
2) S.A. Marano, Cenni di storia del Calcolo infinitesimale, preprint.
S.A. Marano ha scritto circa 100 articoli di ricerca pubblicati su riviste internazionali di Matematica, quali per esempio Advances in Differential Equations, Applicable Analysis, Differential and Integral Equations, Discrete and Continuous Dynamical Systems, Electronic JOurnal of Differential Equations, Journal of Convex Analysis, Journal of Differential Equations, Journal of Mathematical Analysis and Applications, Nonlinear Analysis, NoDEA, Proceedings of the American Mathematical Society, SIAM Journal on Mathematical Analysis, ecc. Ha svolto ricerche in collaborazione con studiosi italiani e stranieri, fra cui L. Gorniewicz dell'Università di Torun (Polonia), V. Staicu dell'Università di Evora (Portogallo), D. Motreanu dell'Università di Perpignan (Francia), N.S. Papageorgiou del Politecnico di Atene (Grecia), K. Perera del Florida Institute of Technology (USA) e A. Moussaoui dell'Università di Bejaia (Algeria). Nel 1989 gli è stato conferito il premio per giovani ricercatori di Scienze Matematiche indetto dall'Accademia Gioenia di Catania e nel 1991 ha vinto uno dei tre premi messi a concorso dalla Fondazione "Francesco Severi" di Arezzo. E' stato visiting professor presso le università di Torun, di Evora e di Perpignan. Fa parte del comitato editoriale di diverse riviste internazionali di Matematica, fra cui Nonlinear Analysis Series B: Real World and Applications, Discussiones Mathematicae Differential Inclusions, Control and Optimization, ecc. E' recensore del Mathematical Reviews e viene costantemente consultato, come referee, da parecchi giornali di Matematica.
In passato si è occupato di equazioni e inclusioni differenziali ordinarie o alle derivate parziali, di punti fissi per opportune classi di multifunzioni e dell'equazione di Boltzmann per i semiconduttori. La sua attività di ricerca più recente riguarda la teoria dei punti critici di funzionali possibilmente non regolari e definiti in insiemi convessi chiusi, con particolare attenzione alle applicazioni alle disequazioni emivariazionali o variazionali-emivariazionali e ai problemi ai limiti per equazioni differenziali con termini non lineari discontinui. Combinando metodi variazionali con tecniche di troncatura ha poi studiato l'esistenza di soluzioni di segno costante e di soluzioni nodali per i problemi di Dirichlet, di Neumann e di Robin inerenti diversi tipi di equazioni differenziali ellittiche, talvolta dipendenti da un parametro reale positivo. Infine, si è occupato di equazioni con p-Laplaciano o con (p,q)-Laplaciano ed esponente critico di Sobolev, sia in domini limitati che in tutto lo spazio.
S.A. Marano ha spesso fatto parte di vari progetti di orientamento e tutorato.
Guida alle tesi di laurea
1) Disequazioni variazionali e problemi ai limiti in dimensione uno
2) Il teorema del passo montano in dimensione finita
3) Introduzione al Calcolo delle Variazioni. Problema della brachistocrona. Problema del profilo aerodinamico ottimale
4) Funzioni armoniche: proprietà e applicazioni
5) An introduction to Fourier series in Hilbert spaces