For a two-dimensional spinor Caffarelli-Kohn-Nirenberg inequality, the authors establish an equivalence to an Aharonov-Bohm inequality and provide numerical evidence that symmetry breaking occurs in a larger parameter region than previously known.
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Symmetry and symmetry breaking in interpolation inequalities for two-dimensional spinors -- Preliminary results
For a two-dimensional spinor Caffarelli-Kohn-Nirenberg inequality, the authors establish an equivalence to an Aharonov-Bohm inequality and provide numerical evidence that symmetry breaking occurs in a larger parameter region than previously known.