caffarelli-kohn-nirenberg inequality 1sobolev interpolation 1spectral methods 1spinors 1symmetry breaking 1
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2 papers
math.AP2026
The CKN inequality for spinors: symmetry and symmetry breaking
Jean Dolbeault, Maria J. Esteban, Rupert L. Frank +1
The paper studies weighted Sobolev interpolation inequalities for spinor fields, examining when optimal spinors are symmetric and when symmetry breaks, using spectral analysis tech…
math.AP2025
Symmetry and symmetry breaking in interpolation inequalities for two-dimensional spinors -- Preliminary results
Jean Dolbeault, Rupert L. Frank, Jonte Weixler
On the two-dimensional Euclidean space, we study a spinorial analogue of the Caffarelli-Kohn-Nirenberg inequality involving weighted gradient norms. This (SCKN) inequality is equiv…