On the symmetry of extremals for the Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault (CEREMADE), Maria J. Esteban (CEREMADE), Michael Loss,, Gabriella Tarantello
TL;DR
This paper establishes new symmetry properties of extremal functions for the Caffarelli-Kohn-Nirenberg inequalities across multiple dimensions, enhancing understanding of their structural characteristics.
Contribution
It introduces novel symmetry results for extremals of the inequalities, applicable in all dimensions greater than or equal to two.
Findings
Proved new symmetry results for extremals
Applicable to all dimensions ≥ 2
Improves understanding of extremal function structure
Abstract
In this paper we prove some new symmetry results for the extremals of the Caffarelli-Kohn-Nirenberg inequalities, in any dimension larger or equal than two.
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