1 citations · 1 across the 9 of their papers we have counts for
11 papers
Multipolar Hardy inequalities and mutual interaction of the poles
Anna Canale
In this paper we state the weighted Hardy inequality \begin{equation*} c\int_{{\mathbb R}^N}\sum_{i=1}^n \frac{φ^2 }{|x-a_i|^2}\, μ(x)dx\le \int_{{\mathbb R}^N} |\nablaφ|^2 \, μ(x)…
Multipolar potentials and weighted Hardy inequalities
A. Canale
\begin{abstract} In this paper we state the following weighted Hardy type inequality for any functions in a weighted Sobolev space and for weight functions of a quite gener…
Improved Hardy inequalities with a class of weights
Anna Canale
\begin{abstract} In the paper we state conditions on potentials to get the improved Hardy inequality with weight \begin{equation*} \begin{split} c_{N,μ}\int_{\R^N}\frac{φ^2}{|x…
Weighted multipolar Hardy inequalities and evolution problems with Kolmogorov operators perturbed by singular potentials
Anna Canale, Francesco Pappalardo, Ciro Tarantino
The main results in the paper are the weighted multipolar Hardy inequalities \begin{equation*} c\int_{\R^N}\sum_{i=1}^n\frac{u^2}{|x-a_i|^2}\,dμ\leq\int_{\R^N}|\nabla u |^2dμ+ K\in…
A class of weighted Hardy inequalities and applications to evolution problems
Anna Canale, Francesco Pappalardo, Ciro Tarantino
\begin{abstract} We state the following weighted Hardy inequality \begin{equation*} c_{o, μ}\int_{{\R}^N}\frac{φ^2 }{|x|^2}\, dμ\le \int_{{\R}^N} |\nablaφ|^2 \, dμ+ K \int_{\R^N}φ^…
Weighted Hardy's inequalities and Kolmogorov-type operators
Anna Canale, Federica Gregorio, Abdelaziz Rhandi +1
We give general conditions to state the weighted Hardy inequality \[ c\int_{\mathbb{R}^N}\frac{φ^2} {|x|^2}dμ\leq\int_{\mathbb{R}^N}|\nabla φ|^2 dμ+C\int_{\mathbb{R}^N} φ^2dμ,\quad…