Luigi Provenzano

works on

cuboid geometry 1 eigenvalue optimization 1 maxwell eigenvalues 1 shape optimization 1 spectral geometry 1

From the 1 of 4 linked papers with an AI index.

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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 $- I^ u = u^{p}$ in a uniformly convex domain $I^c ◯ \subset S^{2}$ , $u = 0$ on $\partial I^c ◯ .$ For $p = 1$ , we assume that the right-…

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