Add to ORKGWe show that in the classical Hardy inequalities with optimal constants inW 1,p0 (Ω),W 2,2 0 (Ω), W 2,2∩W 1,20 (Ω) and also in further higher order Sobolev spaces remainder terms may be added. Here Ω is any bounded domain. For the Hardy inequality in W 1,p0 there is a further L p-norm provided p ≥ 2, while for 1 < p < 2 we obtain a remainder term in Lq-norms with q < p. In higher order Sobolev spaces besides the L2-norm further singularly weighted L2-norms arise
Let Ω be a bounded domain in IRN, N ≥ 3, containing the origin. Motivated by a question of Brezis an...
We prove two Hardy-Sobolev type inequalities in ${\mathcal D}^{1,2}({\mathbb R}^N)$, resp. in $H^1_0...
The paper deals about Hardy-type inequalities associated with the following higher order Poincar\'e ...
We show that the classical Hardy inequalities with optimal constants in the Sobolev spaces W 1;p0 an...
We show that the classical Hardy inequalities with optimal constants in the Sobolev spaces W1,p 0 an...
We exhibit the optimal norm for a remainder term in the sharp Sobolev inequality involving a Lorent...
We study some improvements of the classical Hardy inequality. Namely we add a suitable remaining ter...
Starting point in this paper is the classical Hardy inequality with optimal constant and the lacknes...
We first review improvements of (first-order) Sobolev and Hardy inequalities by the addition of suit...
For\Omega \subset $IR^n$,n\geq 2, a bounded domain, and for 1 < p < n, we improve the Hardy-Sobolev ...
For Ω⊂Rn, n≥2, a bounded domain, and for 1<p<n, we improve the Hardy-Sobolev ...
We are concerned with Sobolev type inequalities in $W^{1,p}_0(\Omega )$, $\Omega \subset \rn$, wi...
Abstract. For Rn; n 2, a bounded domain, and for 1 < p < n, we improve the Hardy-Sobolev ine...
We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distan...
Abstract. An inequality of Hardy type, with a remainder term, is proved for functions defined on a b...
Let Ω be a bounded domain in IRN, N ≥ 3, containing the origin. Motivated by a question of Brezis an...
We prove two Hardy-Sobolev type inequalities in ${\mathcal D}^{1,2}({\mathbb R}^N)$, resp. in $H^1_0...
The paper deals about Hardy-type inequalities associated with the following higher order Poincar\'e ...
We show that the classical Hardy inequalities with optimal constants in the Sobolev spaces W 1;p0 an...
We show that the classical Hardy inequalities with optimal constants in the Sobolev spaces W1,p 0 an...
We exhibit the optimal norm for a remainder term in the sharp Sobolev inequality involving a Lorent...
We study some improvements of the classical Hardy inequality. Namely we add a suitable remaining ter...
Starting point in this paper is the classical Hardy inequality with optimal constant and the lacknes...
We first review improvements of (first-order) Sobolev and Hardy inequalities by the addition of suit...
For\Omega \subset $IR^n$,n\geq 2, a bounded domain, and for 1 < p < n, we improve the Hardy-Sobolev ...
For Ω⊂Rn, n≥2, a bounded domain, and for 1<p<n, we improve the Hardy-Sobolev ...
We are concerned with Sobolev type inequalities in $W^{1,p}_0(\Omega )$, $\Omega \subset \rn$, wi...
Abstract. For Rn; n 2, a bounded domain, and for 1 < p < n, we improve the Hardy-Sobolev ine...
We consider a class of sharp Hardy-Sobolev inequality, where the weights are functions of the distan...
Abstract. An inequality of Hardy type, with a remainder term, is proved for functions defined on a b...
Let Ω be a bounded domain in IRN, N ≥ 3, containing the origin. Motivated by a question of Brezis an...
We prove two Hardy-Sobolev type inequalities in ${\mathcal D}^{1,2}({\mathbb R}^N)$, resp. in $H^1_0...
The paper deals about Hardy-type inequalities associated with the following higher order Poincar\'e ...