My main interest is in the study of Nonlinear Partial differential equations (PDEs). In particular, I'm focusing my attention on a class of Thomas-Fermi type variational problems generalising the two dimensional model of the graphene. Moreover, with Prof. Pier Domenico Lamberti we are currently carrying out the study of extension properties for Campanato and BMO spaces on Hölder domains.
Publications and Preprints
D. Greco, P.D. Lamberti, Extension and embedding theorems for Campanato spaces on $C^{0,\gamma}$ domains (submitted), arxiv preprint.
D. Greco, A Thomas-Fermi type variational problem with low regularity, arxiv preprint.
D. Greco, Z. Liu, V. Moroz, On a class of Thomas-Fermi type problems
Asymptotic decay of positive solutions for a class of non linear non local PDEs, Swansea PhD seminar, 21/10/2022
Frontiers in Nonlocal Nonlinear PDEs, Anacapri, 5-8 July, 2022
Geometric and analytic aspects of functional variational principles, June 27- July 1, 2022