Research
My research interests concern:
- Isoperimetric inequalities
- Non-local problems with Riesz-like functionals
- Quantitative inequalities
Publications
All of my research papers are available, in preprint version, on ArXiv and on CVGMT.
- D. Carazzato, N. Fusco and A. Pratelli, Continuity of critical points for 1-dimensional non-local energies, Preprint (2025) [ArXiv]
- D. Carazzato, G. Pascale and M. Pozzetta, Quantitative isoperimetric inequalities in capillarity problems and cones in strong and barycentric forms, Preprint (2025) [ArXiv]
- D. Carazzato, A. Pratelli and I. Topaloglu, Particle approximation of nonlocal interaction energies, Nonlinear Anal. 263 (2026), 113974 [ArXiv], [doi.org/10.1016/j.na.2025.113974]
- D. Carazzato and A. Pratelli, On the existence and boundedness of minimizing measures for a general form of non-local energies, Math. Ann. 391 (2025), 4849-4879. [ArXiv], [doi.org/10.1007/s00208-024-03039-9]
- A. Burchard, D. Carazzato and I. Topaloglu, Maximizers of nonlocal interactions of Wasserstein Type, ESAIM Control Optim. Calc. Var. 30 (2024), Paper No. 80. [ArXiv], [doi.org/10.1051/cocv/2024068]
- D. Carazzato, A. Pratelli and I. Topaloglu, On the existence of minimizing sets for a weakly-repulsive nonlocal energy, Pure Appl. Anal. 6 (2024), 995-1015. [ArXiv], [doi.org/10.2140/paa.2024.6.995]
- D. Carazzato, A note on some non-local variational problems, Atti Accad. Naz. Lincei Rend. Lincei Mat. Appl. 34 (2023), 265-293. [ArXiv], [doi.org/10.4171/rlm/1006]
- D. Carazzato, N. Fusco and A. Pratelli, Minimality of balls in the small volume regime for a general Gamow-type functional, Adv. Calc. Var. 16 (2023), 503-515. [ArXiv], [doi.org/10.1515/acv-2020-0112]