On the Best Constant in the Moser-Onofri-Aubin Inequality
نویسندگان
چکیده
Let S2 be the 2-dimensional unit sphere and let Jα denote the nonlinear functional on the Sobolev space H1,2(S2) defined by Jα(u) = α 4 ∫
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On a Sharp Moser-aubin-onofri Inequality for Functions on S2 with Symmetry
Here dw denotes the Lebesgue measure on the unit sphere, normalized to make ∫ S2 dw = 1. The famous Moser-Trudinger inequality says that J1 is bounded below by a non-positive constant C1. Later Onofri [6] showed that C1 can be taken to be 0. (Another proof was also given by OsgoodPhillips-Sarnack [7].) On the other hand, if we restrict Jα to the class of G of functions g for which e2g has centr...
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