Symmetry breaking of extremals for the Caffarelli-Kohn-Nirenberg inequalities in a non-Hilbertian setting

DOI10.1007/s00032-013-0207-1zbMath1281.26012arXiv1307.2226OpenAlexW3105062263MaRDI QIDQ383910

Roberta Musina, Paolo Caldiroli

Publication date: 6 December 2013

Published in: Milan Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/1307.2226

zbMATH Keywords

symmetry breakingCaffarelli-Kohn-Nirenberg inequalities

Mathematics Subject Classification ID

Sobolev spaces and other spaces of ``smooth functions, embedding theorems, trace theorems (46E35) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items

Sharp constants and optimizers for a class of Caffarelli-Kohn-Nirenberg inequalities, The multiplicity of positive solutions to a quasilinear equation generated by the Il'in-Caffarelli-Cohn-Nirenberg inequality, Some isoperimetric inequalities in the plane with radial power weights, Extremals for Hardy-Sobolev type inequalities with monomial weights, Hardy inequalities and Caffarelli-Kohn-Nirenberg inequalities with radial derivative, Some isoperimetric inequalities on \(\mathbb{R}^N\) with respect to weights \(|x|^{\alpha}\), Sharp pointwise estimates for weighted critical \(p\)-Laplace equations, The isoperimetric problem for a class of non-radial weights and applications, General sharp weighted Caffarelli–Kohn–Nirenberg inequalities, Symmetry for positive critical points of Caffarelli-Kohn-Nirenberg inequalities

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