Associate Professor, Università di Napoli "Federico II"

Email: daniele.castorina AT unina.it

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

Available papers (27):

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• F. Anceschi - G. Ascione - D. Castorina - F. Solombrino (Journal of Mathematical Analysis and Applications)
  Well-posedness of Kolmogorov-Fokker-Planck equations with unbounded drift (2024)
• G. Ascione - D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
  A matrix Harnack inequality for semilinear heat equations (2023)
• D. Castorina - G. Catino - C. Mantegazza (Ann. Mat. Pura Appl.)
  Semilinear Li & Yau inequalities (2023)
• G. Ascione - D. Castorina - F. Solombrino (Siam Journal on Mathematical Analysis)
  Mean field sparse optimal control of systems with additive white noise (2023)
• D. Castorina - G. Catino - C. Mantegazza (Math. Engineering)
  A Triviality Result for Semilinear Parabolic Equations (2022)
• D. Castorina - C. Mantegazza (Comm. Cont. Math.)
  Ancient solutions of superlinear heat equations on Riemannian manifolds (2021)
• D. Castorina - C. Mantegazza - B. Sciunzi (Milan J. Math.)
  A Liouville Theorem for Superlinear Heat Equations on Riemannian Manifolds (2019)
• 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. 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)

Seminars:

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

Speaker:

• 20 apr 2023 - 21 apr 2023: Elliptic and parabolic PDEs and applications
• 23 feb 2017 - 24 feb 2017: Two-day meeting on PDEs

Organizer:

• 23 sep 2020 - 25 sep 2020: International Workshop "Variational Methods in Nonlinear Phenomena" - ONLINE