Nunzia Gavitone

activity

20122026

most citedSharp bounds for the first eigenvalue and the torsional rigidity related to some anisotropic operators

37 citations · 164 across the 28 of their papers we have counts for

collaborators

Showing 2017 · math.APShow all

4 papers · 2 filters

math.AP2017

Sharp estimates on the first Dirichlet eigenvalue of nonlinear elliptic operators via maximum principle

Francesco Della Pietra, Giuseppina di Blasio, Nunzia Gavitone

In this paper we study optimal lower and upper bounds for functionals involving the first Dirichlet eigenvalue $λ_{F} (p, Ω)$ of the anisotropic $p$ -Laplacian, $1 < p < + \infty$ . Our aim…

math.AP2017

On functionals involving the torsional rigidity related to some classes of nonlinear operators

Francesco Della Pietra, Nunzia Gavitone, Serena Guarino Lo Bianco

In this paper we study optimal estimates for two functionals involving the anisotropic $p$ -torsional rigidity $T_{p} (Ω)$ , $1 < p < + \infty$ . More precisely, we study $Φ(Ω)=\frac{T_p(Ω)}{…

math.AP2017★ 19 cited

A sharp weighted anisotropic Poincaré inequality for convex domains

Francesco Della Pietra, Nunzia Gavitone, Gianpaolo Piscitelli

We prove an optimal lower bound for the best constant in a class of weighted anisotropic Poincaré inequalities

math.AP2017★ 25 cited

On the second Dirichlet eigenvalue of some nonlinear anisotropic elliptic operators

Francesco Della Pietra, Nunzia Gavitone, Gianpaolo Piscitelli

Let $Ω$ be a bounded open set of $R^{n}$ , $n \geq 2$ . In this paper we mainly study some properties of the second Dirichlet eigenvalue $λ_{2} (p, Ω)$ of the anisotropic $p$ -Lap…