Dr. Antonio Esposito
Antonio Esposito
Antonio Esposito
Résumé
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Bachelor’s and Master’s degree in Mathematics, University of Naples “Federico II”, Italy, 2010-2015.
- PhD in Mathematics and Models, Università degli Studi dell’Aquila, Italy, 2015-2018, Phd Defence March 2019.
- Research Fellowship at the Department of Information Engineering, Computer Science and Mathematics, Prof. Di Francesco, Università degli Studi dell’Aquila, Italy, Nov 2018 – Sep 2019.
- PostDoc at Department of Mathematics, Prof. Burger, FAU Erlangen-Nürnberg, from Oct 2019.
Research interests:
- Systems of PDEs with nonlinear cross-diffusion and nonlocal interactions.
- Optimal transport theory applied to evolutionary PDEs.
- Gradient flows and their generalisation.
- Variational formulation for kinetic equations.
- PDEs on graphs.
Publications
- :
Systems of PDEs modelling aggregation-diffusion phenomena with many species (Dissertation, 2019)
BibTeX: Download - , , :
Absence of Lavrentiev gap for non-autonomous functionals with (p, q)-growth
In: Advances in Nonlinear Analysis 8 (2019), p. 73-78
ISSN: 2191-9496
DOI: 10.1515/anona-2016-0198
BibTeX: Download
- , , :
Nonlinear degenerate cross-diffusion systems with nonlocal interaction
In: Nonlinear Analysis - Theory Methods & Applications 169 (2018), p. 94-117
ISSN: 0362-546X
DOI: 10.1016/j.na.2017.12.003
BibTeX: Download
No publications found.
2015
- , , :
Duality for borderline Ap-weights and Gq-weights on R
82 (2015), p. 107-114
BibTeX: Download
(anderer)