AbstractWe prove a Hardy–Sobolev–Mazʼya inequality for arbitrary domains Ω⊂RN with a constant depending only on the dimension N⩾3. In particular, for convex domains this settles a conjecture by Filippas, Mazʼya and Tertikas. As an application we derive Hardy–Lieb–Thirring inequalities for eigenvalues of Schrödinger operators on domains
We prove Hardy-type inequalities in spatial domains with finite inner radius, in particular, one-dim...
Hardy and Rellich type inequalities with an additional term are proved for compactly supported smoot...
© Avkhadiev F.G. 2017. We prove the lower bounds for the functions introduced as the maximal constan...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
We geometrically describe families of non-convex plane and spatial domains in which the basic Hardy ...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
© I.K. Shafigullin. 2017. In the paper we consider the conjecture by E.B. Davies on an uniform lower...
We prove Hardy-type inequalities in spatial domains with finite inner radius, in particular, one-dim...
Let Ω be a smooth bounded domain in IRN, N ≥ 3. We show that Hardy’s inequality involving the distan...
© I.K. Shafigullin. 2017. In the paper we consider the conjecture by E.B. Davies on an uniform lower...
AbstractWe obtain here some inequalities for the eigenvalues of Dirichlet and Neumann value problems...
AbstractWe deal with domains with infinite inner radius. More precisely, we introduce a new geometri...
summary:Hardy and Rellich type inequalities with an additional term are proved for compactly support...
summary:Hardy and Rellich type inequalities with an additional term are proved for compactly support...
We prove Hardy-type inequalities in spatial domains with finite inner radius, in particular, one-dim...
Hardy and Rellich type inequalities with an additional term are proved for compactly supported smoot...
© Avkhadiev F.G. 2017. We prove the lower bounds for the functions introduced as the maximal constan...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
We geometrically describe families of non-convex plane and spatial domains in which the basic Hardy ...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
Let Ω be an open set in ℝn such that Ω ≠ ℝn. For 1 ≤ p n, then for arbitrary open sets Ω ⊂ ℝn (Ω ≠ ...
© I.K. Shafigullin. 2017. In the paper we consider the conjecture by E.B. Davies on an uniform lower...
We prove Hardy-type inequalities in spatial domains with finite inner radius, in particular, one-dim...
Let Ω be a smooth bounded domain in IRN, N ≥ 3. We show that Hardy’s inequality involving the distan...
© I.K. Shafigullin. 2017. In the paper we consider the conjecture by E.B. Davies on an uniform lower...
AbstractWe obtain here some inequalities for the eigenvalues of Dirichlet and Neumann value problems...
AbstractWe deal with domains with infinite inner radius. More precisely, we introduce a new geometri...
summary:Hardy and Rellich type inequalities with an additional term are proved for compactly support...
summary:Hardy and Rellich type inequalities with an additional term are proved for compactly support...
We prove Hardy-type inequalities in spatial domains with finite inner radius, in particular, one-dim...
Hardy and Rellich type inequalities with an additional term are proved for compactly supported smoot...
© Avkhadiev F.G. 2017. We prove the lower bounds for the functions introduced as the maximal constan...