Projet de Recherche

Inégalités de Sobolev dans un contexte plus géneral

• Liviu-Gabriel Marcoci - Université Technique de Constructions, Bucarest.
• Anca-Nicoleta Marcoci - Université Technique de Constructions, Bucarest.
• Diego Chamorro - Université d'Évry-Val-d'Essonne.

1. D. Chamorro, A.N. Marcoci, L.G. Marcoci: Global mild solutions for a transport-diffusion equation with a rough drift
, preprint arXiv:2604.08152.
2. D. Chamorro, A.N. Marcoci, L.G. Marcoci: Pointwise estimates for rough operators in a metric measure framework under some Ahlfors regularity conditions, preprint arXiv:2603.25856.
3. D. Chamorro, A.N. Marcoci, L.G. Marcoci: New weighted Riesz-type pointwise inequalities and applications to generalized Sobolev estimates.
   preprint arXiv:2508.12771v1.
4. D. Chamorro, A.N. Marcoci, L.G. Marcoci: A new pointwise inequality for rough operators and applications. Journal of Mathematical Analysis and Applications, Volume 550, Issue 1, 2025, https://doi.org/10.1016/j.jmaa.2025.129595.
   preprint arXiv: 2409.16691v2
5. Chamorro, D., Marcoci, AN. & Marcoci, LG.: Functional Inequalities in Stratified Lie Groups with Sobolev, Besov, Lorentz and Morrey Spaces. Results Math 78, 219 (2023). https://doi.org/10.1007/s00025-023-01991-7
   preprint arXiv: 1505.05986v3