Zobrazeno 1 - 10
of 566
pro vyhledávání: '"Amato Vincenzo"'
Publikováno v:
Advances in Nonlinear Analysis, Vol 11, Iss 1, Pp 1631-1649 (2022)
We study the behaviour, when p→+∞p\to +\infty , of the first p-Laplacian eigenvalues with Robin boundary conditions and the limit of the associated eigenfunctions. We prove that the limit of the eigenfunctions is a viscosity solution to an eigenv
Externí odkaz:
https://doaj.org/article/afb4cf9f3845401e81fd37bb4ce761f3
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
Publikováno v:
Geologica Carpathica, Vol 68, Iss 1, Pp 29-42 (2017)
This paper concerns the reconstruction of the main stages of the long-term landscape evolution of the Molise portion of the central-southern Apennines along a transect divided into three sectors (SW, Central and NE). Analysis mainly focused on geomor
Externí odkaz:
https://doaj.org/article/9bf2b30372154cfb8044604e4557b5d2
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