Improved Sobolev Inequality Under Constraints
نویسندگان
چکیده
Abstract We give a new proof of Aubin’s improvement the Sobolev inequality on $ \mathbb{S}^{n}$ under vanishing 1st-order moments area element and generalize it to higher-order case. By careful study an extremal problem $\mathbb{S}^{n}$, we determine constant explicitly in 2nd-order
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ژورنال
عنوان ژورنال: International Mathematics Research Notices
سال: 2021
ISSN: ['1687-0247', '1073-7928']
DOI: https://doi.org/10.1093/imrn/rnab067