[castorina]

Lecturer in Mathematics, John Cabot University (Rome)

**Email:** *dcastorina AT johncabot.edu*

**Home-page:** https://sites.google.com/view/danielecastorina1976/home

- D. Castorina - C. Mantegazza - B. Sciunzi (Submitted Paper)

A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds (2018) - D. Castorina - G. Riey - B. Sciunzi (Accepted Paper:
*Calculus of Variations and Partial Differential Equations*)

Hopf Lemma and regularity results for quasilinear anisotropic elliptic equations (2018) - D. Castorina - C. Mantegazza (
*Atti Accad. Naz. Lincei - Rend. Lincei Mat. Appl.*)

Ancient Solutions of Semilinear Heat Equations on Riemannian Manifolds (2017) - D. Castorina - C. Mantegazza (Submitted Paper)

Ancient solutions of superlinear heat equations on Riemannian manifolds (2017) - D. Bartolucci - D. Castorina (Accepted Paper:
*Annali della Scuola Normale Superiore di Pisa-Classe di Scienze*)

On a singular Liouville-type equation and the Alexandrov isoperimetric inequality (2017) - D. Bartolucci - D. Castorina (
*Journal of Elliptic and Parabolic Equations*)

A global existence result for a Keller-Segel type system with supercritical data (2016) - D. Castorina - A. Cesaroni - L. Rossi (
*Comm. Pure App. Anal.*)

On a parabolic Hamilton-Jacobi-Bellman equation degenerating at the boundary (2016) - J. A. Carrillo - D. Castorina - B. Volzone (
*Siam Journal on Mathematical Analysis*)

Ground States for Diffusion Dominated Free Energies with Logarithmic Interaction (2015) - D. Bartolucci - D. Castorina (Accepted Paper:
*Communications in Contemporary Mathematics*)

Self gravitating cosmic strings and the Alexandrov's inequality for Liouville-type equations (2015) - D. Castorina (
*Manuscripta Mathematica*)

Regularity of the extremal solution for singular p-Laplace equations (2015) - D. Castorina - M. Sanchon (
*Advances in Nonlinear Analysis*)

Regularity of stable solutions to semilinear elliptic equations on Riemannian models (2015) - D. Castorina - M. Sanchon (
*Journal of the European Mathematical Society*)

Regularity of stable solutions of $p$-Laplace equations through geometric Sobolev type inequalities (2015) - D. Castorina - P. Esposito - B. Sciunzi (
*Nonlinear Analysis: Theory, Methods & Applications*)

Spectral theory for linearized p-Laplace equations (2011) - D. Castorina (
*Nonlinear Analysis: Theory, Methods & Applications*)

Uniqueness of positive radial solutions for quasilinear elliptic equations in an annulus (2010) - D. Castorina - I. Fabbri - G. Mancini - K. Sandeep (
*Journal of Differential Equations*)

Hardy–Sobolev extremals, hyperbolic symmetry and scalar curvature equations (2009) - D. Castorina - P. Esposito - B. Sciunzi (
*Communications on Pure and Applied Analysis*)

Low dimensional instability for semilinear and quasilinear problems in $\mathbb{R}^N$ (2009) - D. Castorina - P. Esposito - B. Sciunzi (
*Calculus of Variations and Partial Differential Equations*)

Degenerate elliptic equations with singular nonlinearities (2008) - D. Castorina - I. Fabbri - G. Mancini - K. Sandeep (
*Rendiconti Lincei - Matematica e Applicazioni*)

Hardy–Sobolev inequalities and hyperbolic symmetry (2008) - D. Castorina - P. Esposito - B. Sciunzi (
*Methods and Applications of Analysis*)

p-MEMS Equation on a Ball (2008) - D. Castorina - F. Pacella (
*Progress in Nonlinear Differential Equations and Their Applications*)

Symmetry of Solutions of a Semilinear Elliptic Problem in an Annulus (2006) - D. Castorina - F. Pacella (
*Calculus of Variations and Partial Differential Equations*)

Symmetry of positive solutions of an almost-critical problem in an annulus (2005) - D. Castorina - G. Mancini (
*Rendiconti del Seminario Matematico della Università di Padova*)

Non existence of bounded-energy solutions for some semilinear elliptic equations with a large parameter (2003)

*1 feb 2017:*Regularity of stable solutions of $p$-Laplace equations through geometric Sobolev type inequalities

*23 feb 2017 - 24 feb 2017:*Two-day meeting on PDEs