Degree in Mathematics (summa cum laude) at the University of Perugia in 1979, Assistant Professor of Mathematical Analysis in 1983 at the Faculty of Engineering of the University of Palermo and in 2003 associate professor at the Faculty of Sciences.
He wrote 36 articles published in national and international mathematics journals collaborating with several mathematicians. His research interests concern with existence results for the Burkill-Cesari integral, ordinary inequalities and inclusions for appropriate classes of multi-functions. His most recent research activity concerns the theory of critical points and its application to differential equations. Combining variational methods with truncation techniques, he studied the existence of solutions for several type of differential problems with different boundary conditions.
During the years of his career, he has carried out an intense didactic activity both for the courses in Engineering Degree and some advanced courses in Degree in Mathematics.
Here is a selection of Professor Diego Averna's papers
- D. A. - A. Fiacca, Alcuni risultati sui teoremi di G. Scorza Dragoni e L.Tibaldo in spazi astratti, Riv. Mat. Univ. Parma, 4, 12 (1986), p.217-225.
- D.A. - A. Fiacca, Sulla proprietà di Scorza-Dragoni, Atti Sem. Mat. Fis. Univ. Modena, XXXIII (1984), p.313-318.
- D.A., Lusin type theorems for multifunctions, Scorza Dragoni's property and Caratheodory selections, Boll. U.M.I., (7) (8-A) (1994), p.193-201.
- D.A., Regularization of closed-valued multifunctions in a non-metric setting, Math. Slovaca, 44 (1994), No. 4, p.413-425.
- D.A. - G. Bonanno, Existence of solutions for a multivaluedboundary value problem with nonconvex and unbounded right-hand side, Annales Polonici Mathematici, LXXI (1999), No. 3, p.253-271.
- D.A. - S.A. Marano, Existence of solutions for operator inclusions: a unified approach, Rend. Sem. Mat. Univ. Padova, 102 (1999), p.285-303.
- D.A. - S.A. Marano, Existence theorems for inclusions of the type $\Psi(u)(t) \in F(t,\Phi(u)(t))$, Applicable Analysis, 72 (1999), p.449-458.
- D.A. - G. Bonanno, A three critical points theorem and its applications to the ordinary Dirichlet problem, Topol. Methods Nonlinear Anal., 22 (2003), p. 93-104.
- D.A. - G. Bonanno, Three solutions for a quasilinear two point boundary value problem involving the one-dimensional p-Laplacian, Proc. Edinburgh Math. Soc., 47 (2004), p. 257-270.
- D.A. - R. Salvati, Three solutions for a mixed boundary value problem involving the one-dimensional p-Laplacian, Journal of Mathematical Analysis and Applications, 298 (2004), p. 245-260.
- D.A. - G. Bonanno, A mountain pass theorem for a suitable class of functions, Rocky Mountain Journal of Mathematics, 39 (2009), No. 3, p.707-727.
- D.A. - S.A. Marano - D. Motreanu, Multiple solutions for a Dirichlet problem with p-Laplacian and set-valued nonlinearity, Bull. Austral. Math. Soc., 77 (2008), p.285-303.
- D.A. - N. Giovannelli - E. Tornatore, Existence of three solutions for a mixed boundary value problem with the Sturm-Liouville equation, Bull. Korean Math. Soc., 49 (2012), No. 6, p.1213-1222.
- D.A.- E. Tornatore, Infinitely many weak solutions for a mixed boundary value system with (p1,..., pm)-Laplacian, Electron. J. Qual. Theory Differ. Equ., No. 57 (2014), p.1-8.
- D.A. - E. Tornatore, Ordinary (p1,...,pm)-Laplacian systems with mixed boundary value conditions, Nonlinear Analysis: Real World Applications, 28 (2016), p.20-31.
- D.A. - S. Tersian - E. Tornatore, On the existence and multiplicity of solutions for Dirichlet's problem for fractional differential equations, Fract. Calc. Appl. Anal., Vol. 19, No. 1 (2016), p. 253-266.
- D.A. - D. Motreanu - E.Tornatore, Existence and asymptotic properties for quasilinear elliptic equations with gradient dependence, Applied Mathematics Letters, 61 (2016), p. 102-107.
- D.A - N.S. Papageorgiu - E.Tornatore, Positive solutions for the Neumann p-Laplacian, Monatsh Math, (2017), 1-17.
- D. A - N.S. Papageorgiu - E. Tornatore, Positive solutions for nonlinear Robin problems, Electronic Journal of Differential Equations, Vol. 2017 (2017), No. 204, p. 1-25.
- D. A - G. Bonanno - E. Tornatore, Gradient nonlinear elliptic systems driven by a (p,q)-Laplacian operator, Dynamic Systems and Applications, (2017), 26, p. 367-382.
- D. A. - N.S. Papageorgiu - E. Tornatore, Multiple solutions for nonlinear nonhomogeneous resonant coercive problems, Discrete and continuos dynamical systems series S, (2018), 11(2), p. 155-178.
- D. A. - D.O'Regan - E.Tornatore, Multiple solutions for fractional boundary value problems, E. Bull. Iran. Math. Soc., (2018).
- D. A. - A. Sciammetta - E. Tornatore, Infinitely many solutions to boundary value problem for fractional differential equations, Fract. Calc. Appl. Anal., Vol. 21, No 6 (2018), pp. 1585–1597.