About Existence, Symmetry and Symmetry Breaking for Extremal Functions of Some Interpolation Functional Inequalities

DOI10.1007/978-3-642-25361-4_6zbMath1255.35017arXiv1011.5465OpenAlexW1629997796MaRDI QIDQ2912099

Publication date: 14 September 2012

Published in: Nonlinear Partial Differential Equations (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1011.5465

zbMATH Keywords

Caffarelli-Kohn-Nirenberg (CKN)weighted logarithmic Hardy (WLH) inequalities

Mathematics Subject Classification ID

Inequalities applied to PDEs involving derivatives, differential and integral operators, or integrals (35A23)

Related Items (6)

Weighted interpolation inequalities: a perturbation approach ⋮ Rigidity results with applications to best constants and symmetry of Caffarelli-Kohn-Nirenberg and logarithmic Hardy inequalities ⋮ Sobolev and Hardy-Littlewood-Sobolev inequalities ⋮ Radial symmetry and its breaking in the caffarelli-Kohn-Nirenberg type inequalities for \(p=1\) ⋮ Rigidity versus symmetry breaking via nonlinear flows on cylinders and Euclidean spaces ⋮ Symmetry of extremals of functional inequalities via spectral estimates for linear operators

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