Existence of extremal functions for a Hardy-Sobolev inequality

DOI10.1016/j.jfa.2010.03.020zbMath1200.26034OpenAlexW2094742490MaRDI QIDQ982502

Nikolaos B. Zographopoulos

Publication date: 7 July 2010

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2010.03.020

zbMATH Keywords

extremal functionsSobolev inequalityHardy-Sobolev inequalitybest constantsBliss' inequality

Mathematics Subject Classification ID

Inequalities for sums, series and integrals (26D15) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (9)

Critical Hardy inequality on the half-space via the harmonic transplantation ⋮ On a parabolic equation, involving inverse square potential, defined on the whole space ⋮ A strongly singular parabolic problem on an unbounded domain ⋮ Extremal functions of generalized critical Hardy inequalities ⋮ On the dynamics of a strongly singular parabolic equation ⋮ Minimization problem associated with an improved Hardy-Sobolev type inequality ⋮ Orbital stability for the Schrödinger operator involving inverse square potential ⋮ Functional aspects of the Hardy inequality: appearance of a hidden energy ⋮ Some Results Concerning Hardy and Hardy Type Inequalities

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
• An improved Hardy-Sobolev inequality in \(W^{1,p}\) and its application to Schrödinger operators
• The sharp Sobolev inequality in quantitative form
• The effect of curvature on the best constant in the Hardy-Sobolev inequalities
• Best constants in the Hardy-Rellich inequalities and related improvements
• Critical Hardy--Sobolev inequalities
• On inequalities of Hardy-Sobolev type
• Corrigendum to ``Optimizing improved Hardy inequalities [J. Funct. Anal. 192 (2002) 186-233]
• A note on the paper ``Optimizing improved Hardy inequalities by S. Filippas and A. Tertikas
• On the best constant of Hardy-Sobolev inequalities
• Best constant in Sobolev inequality
• Problèmes isoperimetriques et espaces de Sobolev
• Bounds for the best constant in an improved Hardy-Sobolev inequality
• The Hardy inequality and the asymptotic behaviour of the heat equation with an inverse-square potential
• Hardy-Sobolev critical elliptic equations with boundary singularities
• An analytical proof of Hardy-like inequalities related to the Dirac operator
• Extremal functions for Hardy's inequality with weight
• Hardy-Sobolev extremals, hyperbolic symmetry and scalar curvature equations
• On existence of mimimizers for the Hardy-Sobolev-Maz'ya inequality
• The sharp constant in the Hardy-Sobolev-Maz'ya inequality in the three-dimensional upper half space
• On the Best Constant for a Weighted Sobolev-Hardy Inequality
• Existence versus explosion instantanée pour des équations de la chaleur linéaires avec potentiel singulier
• On the best constant in a Hardy–Sobolev inequality
• Role of the fundamental solution in Hardy—Sobolev-type inequalities
• Hardy-type inequalities

This page was built for publication: Existence of extremal functions for a Hardy-Sobolev inequality