Luigi Provenzano

activity

20162026

most citedOn Trace Theorems for Sobolev Spaces

4 citations · 4 across the 5 of their papers we have counts for

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2 papers · 1 filter

math.AP2026

Lane-Emden Problems on Convex Domains of $S^{2}$

Massimo Grossi, Luigi Provenzano, Daniel Raom

We study positive solutions of the Dirichlet problem $- Δ u = u^{p}$ in a uniformly convex domain $Ω \subset S^{2}$ , $u = 0$ on $\partial Ω.$ For $p = 1$ , we assume that the right-han…

math.AP2025

$H^{2}$ -regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity

Pier Domenico Lamberti, Luigi Provenzano

We prove that the Steklov eigenfunctions on convex domains of $R^{n}$ are $H^{2}$ regular by adapting a classical argument combined with the Rellich-Pohozaev identity.

Lane-Emden Problems on Convex Domains of S2

H2-regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity

Lane-Emden Problems on Convex Domains of $S^{2}$

$H^{2}$ -regularity of Steklov eigenfunctions on convex domains via Rellich-Pohozaev identity