A note on higher order fractional Hardy–Sobolev inequalities
- Roberta Musina
- Alexander I. Nazarov
DOIAbstract
We establish some qualitative properties of minimizers in the fractional Hardy–Sobolev inequalities of arbitrary order
We establish some qualitative properties of minimizers in the fractional Hardy–Sobolev inequalities of arbitrary order
We show that in the classical Hardy inequalities with optimal constants inW 1,p0 (Ω),W 2,2 0 (Ω), W ...
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds...
We investigate the existence of extremals for Hardy--Sobolev inequalities involving the Dirichlet fr...
In this work, we obtain existence of nontrivial solutions to a minimization problem involving a frac...
We study linear and non-linear equations related to the fractional Hardy--Sobolev inequality. We pr...
In this paper we consider the following higher order or fractional order Hardy-Sobolev type equation
AbstractOptimal constants are found in Hardy–Rellich inequalities containing derivatives of arbitrar...
Abstract. We prove optimality of power-type weights in the Hardy inequality of fractional order. 1. ...
Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have r...
AbstractWe obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. ...
We investigate the k-th order Hardy inequality (1.1) for functions satisfying rather general boundar...
Funding Information: I would like to thank my supervisor, Juha Kinnunen, for all of his support. I w...
We consider a version of the fractional Sobolev inequality in domains and study whether the best con...
We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility c...
In this work we establish trace Hardy and trace Hardy-Sobolev-Maz'ya inequalities with best Hardy co...
We show that in the classical Hardy inequalities with optimal constants inW 1,p0 (Ω),W 2,2 0 (Ω), W ...
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds...
We investigate the existence of extremals for Hardy--Sobolev inequalities involving the Dirichlet fr...
In this work, we obtain existence of nontrivial solutions to a minimization problem involving a frac...
We study linear and non-linear equations related to the fractional Hardy--Sobolev inequality. We pr...
In this paper we consider the following higher order or fractional order Hardy-Sobolev type equation
AbstractOptimal constants are found in Hardy–Rellich inequalities containing derivatives of arbitrar...
Abstract. We prove optimality of power-type weights in the Hardy inequality of fractional order. 1. ...
Weighted inequalities for fractional derivatives (= fractional order Hardy-type inequalities) have r...
AbstractWe obtain sharp constants for Sobolev inequalities for higher order fractional derivatives. ...
We investigate the k-th order Hardy inequality (1.1) for functions satisfying rather general boundar...
Funding Information: I would like to thank my supervisor, Juha Kinnunen, for all of his support. I w...
We consider a version of the fractional Sobolev inequality in domains and study whether the best con...
We prove fractional order Hardy inequalities on open sets under a combined fatness and visibility c...
In this work we establish trace Hardy and trace Hardy-Sobolev-Maz'ya inequalities with best Hardy co...
We show that in the classical Hardy inequalities with optimal constants inW 1,p0 (Ω),W 2,2 0 (Ω), W ...
In this paper, we extend Hardy’s type inequalities to convex functions of higher order. Upper bounds...
We investigate the existence of extremals for Hardy--Sobolev inequalities involving the Dirichlet fr...
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