Zobrazeno 1 - 10
of 579
pro vyhledávání: '"D’AMATO, VINCENZO"'
We study the behaviour, as $p \to +\infty$, of the second eigenvalues of the $p$-Laplacian with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that, up to some regularity of the set, the limit of the second eigenva
Externí odkaz:
http://arxiv.org/abs/2410.13356
In this paper, we examine some shape functionals, introduced by P\'olya and Makai, involving the torsional rigidity and the first Dirichlet-Laplacian eigenvalue for bounded, open and convex sets of $\mathbb{R}^n$. We establish new quantitative bounds
Externí odkaz:
http://arxiv.org/abs/2410.06858
For any $p \in ( 1, +\infty)$, we give a new inequality for the first nontrivial Neumann eigenvalue $\mu _ p (\Omega, \varphi)$ of the $p$-Laplacian on a convex domain $\Omega \subset \mathbb{R}^N$ with a power-concave weight $\varphi$. Our result im
Externí odkaz:
http://arxiv.org/abs/2407.20373
Autor:
Amato, Vincenzo, Barbato, Luca
In this paper, we prove a quantitative version of the comparison result for solutions to first-order Hamilton-Jacobi equations proved in \cite{GN}. The key role is played by quantitative versions of the P\'olya-Szeg\H o inequality and of the Hardy-Li
Externí odkaz:
http://arxiv.org/abs/2407.19504
The fundamental gap conjecture proved by Andrews and Clutterbuck in 2011 provides the sharp lower bound for the difference between the first two Dirichlet Laplacian eigenvalues in terms of the diameter of a convex set in $\mathbb{R}^N$. The question
Externí odkaz:
http://arxiv.org/abs/2407.01341
In this paper, we obtain a quantitative version of the classical comparison result of Talenti for elliptic problems with Dirichlet boundary conditions. The key role is played by quantitative versions of the P\'olya-Szego inequality and of the Hardy-L
Externí odkaz:
http://arxiv.org/abs/2311.18617
Autor:
Carlos Arthur Hansel Diniz da Costa, Gabriela Menichelli Medeiros Coelho, Rhanniel Theodorus Helhyas Oliveira Shilva Gomes Villar, Enia Lúcia Coutinho, Claudio Cirenza, Angelo Amato Vincenzo de Paola
Publikováno v:
Indian Pacing and Electrophysiology Journal, Vol 24, Iss 6, Pp 309-314 (2024)
Introduction: Conventional three-lead ambulatory electrocardiogram recording (3L-AECG) is used for the quantitative diagnosis of arrhythmias. However, the lack of crucial information, such as QRS morphology and orientation, renders the 3L-AECG incomp
Externí odkaz:
https://doaj.org/article/93d0ca3f084b4d6c98642cd54d77ed4f
We investigate the relationship between the Neumann and Steklov principal eigenvalues emerging from the study of collapsing convex domains in $\mathbb{R}^2$. Such a relationship allows us to give a partial proof of a conjecture concerning estimates o
Externí odkaz:
http://arxiv.org/abs/2307.12889
Publikováno v:
Mathematische Annalen 12 April, 2024
In this paper, we introduce a symmetrization technique for the gradient of a $\BV$ function, which separates its absolutely continuous part from its singular part (sum of the jump and the Cantorian part). In particular, we prove an $\text{\emph{L}}^{
Externí odkaz:
http://arxiv.org/abs/2302.11332
In this paper we study the $p$-Poisson equation with Robin boundary conditions, where the Robin parameter is a function. By means of some weighted isoperimetric inequalities, we provide various sharp bounds for the solutions to the problems under con
Externí odkaz:
http://arxiv.org/abs/2211.03617