On the best constant in a Hardy–Sobolev inequality

DOI10.1080/00036810500277405zbMath1087.26010OpenAlexW1979209021MaRDI QIDQ5201458

Vincenzo Ferone, Angelo Alvino, Guido Trombetti

Publication date: 19 April 2006

Published in: Applicable Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00036810500277405

zbMATH Keywords

isoperimetric inequalitiesSteiner symmetrizationHardy-Sobolev inequalities

Mathematics Subject Classification ID

Variational methods involving nonlinear operators (47J30) Inequalities involving derivatives and differential and integral operators (26D10) Inequalities and extremum problems in real or complex geometry (51M16)

Related Items (6)

Hardy-Sobolev extremals, hyperbolic symmetry and scalar curvature equations ⋮ Finsler Hardy inequalities ⋮ On weighted logarithmic-Sobolev \& logarithmic-Hardy inequalities ⋮ Existence of extremal functions for a Hardy-Sobolev inequality ⋮ A logarithmic Hardy inequality ⋮ Existence and uniqueness of positive solutions for singular biharmonic elliptic systems

Cites Work

• Unnamed Item
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• A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
• Best constant in Sobolev inequality
• Hardy inequalities and some critical elliptic and parabolic problems
• Weighted Dirichlet-type inequalities for Steiner symmetrization
• Cylindrical symmetry of extremals of a Hardy-Sobolev inequality
• On the Grushin operator and hyperbolic symmetry
• On the Best Constant for a Weighted Sobolev-Hardy Inequality

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