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math.AP2016
Symmetry for extremal functions in subcritical Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss +1
We use the formalism of the R{é}nyi entropies to establish the symmetry range of extremal functions in a family of subcriti-cal Caffarelli-Kohn-Nirenberg inequalities. By extremal…
math.AP2016
Symmetry of optimizers of the Caffarelli-Kohn-Nirenberg inequalities
Jean Dolbeault, Maria J. Esteban, Michael Loss
In their simplest form, the Caffarelli-Kohn-Nirenberg inequalities are a two parameter family of inequalities. It has been known that there is a region in parameter space where the…