Damiano Greco

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20232026

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math.FA2023

Extension and embedding theorems for Campanato spaces on $C^{0, γ}$ domains

Damiano Greco, Pier Domenico Lamberti

We consider Campanato spaces with exponents $λ, p$ on domains of class $C^{0, γ}$ in the N-dimensional Euclidean space endowed with a natural anisotropic metric depending on $γ$ . We…

math.AP2023

Optimal decay and regularity for a Thomas--Fermi type variational problem

Damiano Greco

We study existence and qualitative properties of the minimizers for a Thomas--Fermi type energy functional defined by $$E_α(ρ):=\frac{1}{q}\int_{\mathbb{R}^d}|ρ(x)|^q dx+\frac{1}{2…

Extension and embedding theorems for Campanato spaces on C0,γ domains

Optimal decay and regularity for a Thomas--Fermi type variational problem

Extension and embedding theorems for Campanato spaces on $C^{0, γ}$ domains