Improved Interpolation Inequalities and Stability

For exponents in the subcritical range, we revisit some optimal interpolation inequalities on the sphere with carré du champ methods and use the remainder terms to produce improved inequalities. The method provides us with lower estimates of the optimal constants in the symmetry breaking range and s...

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Bibliographic Details
Main Authors: Dolbeault Jean, Esteban Maria J.
Format: Article
Language:English
Published: De Gruyter 2020-05-01
Series:Advanced Nonlinear Studies
Subjects:
Online Access:https://doi.org/10.1515/ans-2020-2080