Zobrazeno 1 - 10
of 35
pro vyhledávání: '"Masiello, Alba Lia"'
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
Autor:
Masiello, Alba Lia, Salerno, Francesco
In this paper, we consider a symmetrization with respect to mixed volumes of convex sets, for which a P\'olya-Szeg\"o type inequality holds. We improve the P\'olya-Szeg\"o for the $k$-Hessian integral in a quantitative way, and, with similar argument
Externí odkaz:
http://arxiv.org/abs/2407.20811
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:
Della Pietra, Francesco, Fantuzzi, Giovanni, Ignat, Liviu I., Masiello, Alba Lia, Paoli, Gloria, Zuazua, Enrique
We consider finite element approximations to the optimal constant for the Hardy inequality with exponent $p=2$ in bounded domains of dimension $n=1$ or $n \geq 3$. For finite element spaces of piecewise linear and continuous functions on a mesh of si
Externí odkaz:
http://arxiv.org/abs/2308.01580
Symmetry properties of solutions to elliptic quasilinear equations have been widely studied in the context of Dirichlet boundary conditions. We show that, in the context of Robin boundary conditions, the symmetry property \'a la Gidas, Ni and Nirenbe
Externí odkaz:
http://arxiv.org/abs/2304.00806
Autor:
Masiello, Alba Lia, Paoli, Gloria
Let $\Omega \subset \mathbb{R}^n$ be an open, bounded and Lipschitz set. We consider the Poisson problem for the $p-$Laplace operator associated to $\Omega$ with Robin boundary conditions. In this setting, we study the equality case in the Talenti-ty
Externí odkaz:
http://arxiv.org/abs/2301.03958
Autor:
Masiello, Alba Lia, Paoli, Gloria
Let $\Omega \subset \mathbb{R}^2$ be an open, bounded and Lipschitz set. We consider the torsion problem for the Laplace operator associated to $\Omega$ with Robin boundary conditions. In this setting, we study the equality case in the Talenti-type c
Externí odkaz:
http://arxiv.org/abs/2209.06706
We are interested in finding sharp bounds for the Cheeger constant $h$ via different geometrical quantities, namely the area $|\cdot|$, the perimeter $P$, the inradius $r$, the circumradius $R$, the minimal width $\omega$ and the diameter $d$. We pro
Externí odkaz:
http://arxiv.org/abs/2206.13158
In this paper, we prove an upper bound for the first Robin eigenvalue of the $p$-Laplacian with a positive boundary parameter and a quantitative version of the reverse Faber-Krahn type inequality for the first Robin eigenvalue of the $p$-Laplacian wi
Externí odkaz:
http://arxiv.org/abs/2206.11609
We study the behaviour, when $p \to +\infty$, 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 eigenvalue
Externí odkaz:
http://arxiv.org/abs/2111.10107