Daniele Castorina holds a Laurea cum laude from University of Rome "Roma Tre" and a Dottorato di Ricerca in Mathematics from University of Rome "La Sapienza."
He has held several visiting and postdoc positions in international institutions such as: Università di Perugia - Italy (2008); TATA Institute of Fundamental Research - Bangalore, India (2008), UPC - Universitat Politecnica de Catalunya - Barcelona, Spain (2010), UAB - Universitat Autonoma de Barcelona - Barcelona, Spain (2011-2012); Università di Roma Tor Vergata - Italy (2012-2013); Università di Padova - Italy (2014-2016).
His main research area is Elliptic and Parabolic Partial Differential Equations (PDEs), which are of interest in Mathematical Analysis as well as modeling several phenomena in Geometry, Physics, Chemistry and Biology.
D. Castorina, F. Pacella, “Symmetry of positive solutions of an almost-critical problem in an annulus”, Calculus of Variations and Partial Differential Equations, Vol. 23 no. 2 (2005), pag. 125-138.
D. Castorina, P. Esposito, B. Sciunzi, “Degenerate elliptic equations with singular nonlinearities” Calculus of Variations and Partial Differential Equations, Vol. 34 (2009), pag. 279-306.
D. Castorina, I. Fabbri, G. Mancini, K. Sandeep,“Hardy-Sobolev extremals, hyperbolic symmetry and scalar curvature equations”, Journal of Differential Equations, Vol. 246 (2009), pag. 1187-1206.
D. Castorina, M. Sanchon,“Regularity of stable solutions of p-Laplace equations through geometric Sobolev-type inequalities”, Journal of the European Mathematical Society Vol. 17 (2015), pag. 2949-2975.
J. A. Carrillo, D. Castorina, B. Volzone, “Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction”, SIAM Journal of Mathematical Analysis, Vol 47 (2015), pag. 1-25.