Hardy-Sobolev inequalities and hyperbolic symmetry

DOI10.4171/RLM/517zbMath1194.35146MaRDI QIDQ993419

Giovanni Mancini, Daniele Castorina, Isabella Fabbri, Kunnath Sandeep

Publication date: 19 September 2010

Published in: Atti della Accademia Nazionale dei Lincei. Classe di Scienze Fisiche, Matematiche e Naturali. Serie IX. Rendiconti Lincei. Matematica e Applicazioni (Search for Journal in Brave)

Full work available at URL: http://www.ems-ph.org/journals/show_abstract.php?issn=1120-6330&vol=19&iss=3&rank=2

zbMATH Keywords

nonlinear PDEhyperbolic symmetryHardy-Sobolev inequalities

Mathematics Subject Classification ID

Variational methods applied to PDEs (35A15) Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05) Other special methods applied to PDEs (35A25)

Related Items (7)

Hardy-Sobolev extremals, hyperbolic symmetry and scalar curvature equations ⋮ Poincaré-Sobolev equations in the hyperbolic space ⋮ Extremals for fractional order Hardy-Sobolev-Maz'ya inequality ⋮ Sign changing solutions of the Brezis-Nirenberg problem in the hyperbolic space ⋮ Positive solutions to a semilinear elliptic equation with a Sobolev-Hardy term ⋮ Positive solutions for elliptic problems involving Hardy-Sobolev-Maz'ya terms ⋮ Hardy-Sobolev-Maz'ya type equations in bounded domains

Cites Work

• A Sobolev-Hardy inequality with applications to a nonlinear elliptic equation arising in astrophysics
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• A few symmetry results for nonlinear elliptic PDE on noncompact manifolds
• Hardy-Sobolev extremals, hyperbolic symmetry and scalar curvature equations
• On existence of mimimizers for the Hardy-Sobolev-Maz'ya inequality
• Classification of solutions of a critical Hardy--Sobolev operator
• Kelvin transform for Grushin operators and critical semilinear equations
• Some existence results for the Webster scalar curvature problem in presence of symmetry
• On a semilinear elliptic equation in Hn
• Uniqueness of Radial Solutions of Semilinear Elliptic Equations
• Hardy inequalities related to Grushin type operators
• HARDY–SOBOLEV–MAZ'YA INEQUALITIES: SYMMETRY AND BREAKING SYMMETRY OF EXTREMAL FUNCTIONS

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