On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry.

DOI10.2140/pjm.2000.194.349zbMath1057.53026OpenAlexW2170886567MaRDI QIDQ1587556

Changfeng Gui, Wei, Juncheng

Publication date: 3 December 2000

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

Full work available at URL: https://doi.org/10.2140/pjm.2000.194.349

zbMATH Keywords

Sobolev spacecritical pointaxial symmetryMoser-Trudinger inequality

Mathematics Subject Classification ID

Abstract critical point theory (Morse theory, Lyusternik-Shnirel'man theory, etc.) in infinite-dimensional spaces (58E05) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21) Inequalities involving derivatives and differential and integral operators (26D10)

Related Items (9)

The sphere covering inequality and its applications ⋮ A Sharp Inequality on the Exponentiation of Functions on the Sphere ⋮ Improved Beckner's inequality for axially symmetric functions on \(\mathbb{S}^4\) ⋮ On the best constant in the Moser-Onofri-Aubin inequality ⋮ Non-axially symmetric solutions of a mean field equation on \(\mathbb{S}^2\) ⋮ Improved Beckner's inequality for axially symmetric functions on \(\mathbb{S}^n\) ⋮ A singular sphere covering inequality: uniqueness and symmetry of solutions to singular Liouville-type equations ⋮ Trivial solution and symmetries of nontrivial solutions to a mean field equation ⋮ Uniqueness of solutions of mean field equations in 𝑅²

This page was built for publication: On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry.