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A scenario for symmetry breaking in Caffarelli–Kohn–Nirenberg inequalities

A scenario for symmetry breaking in Caffarelli–Kohn–Nirenberg inequalities

-The purpose of this paper is to explain the phenomenon of symmetry breaking for optimal functions in functional inequalities by the numerical computations of some well chosen solutions of the corresponding Euler-Lagrange equations. For many of those inequalities it was believed that the only source of symmetry breaking would be …