Extremal functions for the Caffarelli-Kohn-Nirenberg inequalities: A simple proof of the symmetry

DOI10.1016/J.JMAA.2008.04.059zbMath1171.35041OpenAlexW2078969859MaRDI QIDQ1012187

Michel Willem, Vincent Bouchez

Publication date: 14 April 2009

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.04.059

zbMATH Keywords

Foliated Schwarz Symmetric SolutionPolarizations

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Variational methods for second-order elliptic equations (35J20)

Related Items (3)

Several logarithmic Caffarelli-Kohn-Nirenberg inequalities and applications ⋮ Nontrivial solutions for a class of critical elliptic equations of Caffarelli-Kohn-Nirenberg type ⋮ The Nehari manifold for indefinite Kirchhoff problem with Caffarelli-Kohn-Nirenberg type critical growth

Cites Work

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• Partial symmetry of least energy nodal solutions to some variational problems
• Minimax theorems
• Symmetry of solutions of semilinear elliptic problems
• Symmetry of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities
• On the Caffarelli–Kohn–Nirenberg inequalities

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