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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…
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…
A short review on Improvements and stability for some interpolation inequalities
Jean Dolbeault, Maria J. Esteban, Alessio Figalli +2
In this paper, we present recent stability results with explicit and dimensionally sharp constants and optimal norms for the Sobolev inequality and for the Gaussian logarithmic Sob…