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A Sobolev Interpolation Inequality and a Gross-Sobolev Logarithmic Inequality
Mathematical Notes ( IF 0.6 ) Pub Date : 2020-05-01 , DOI: 10.1134/s0001434620050296 Sh. M. Nasibov
Mathematical Notes ( IF 0.6 ) Pub Date : 2020-05-01 , DOI: 10.1134/s0001434620050296 Sh. M. Nasibov
A sharp integral inequality is proved and used to obtain a Sobolev interpolation inequality. Further, a new proof of a Gross-Sobolev logarithmic inequality is constructed on the basis of the Sobolev interpolation inequality.
中文翻译:
Sobolev 插值不等式和 Gross-Sobolev 对数不等式
证明了一个尖锐的积分不等式并用于获得Sobolev插值不等式。此外,在 Sobolev 插值不等式的基础上构造了 Gross-Sobolev 对数不等式的新证明。
更新日期:2020-05-01
中文翻译:
Sobolev 插值不等式和 Gross-Sobolev 对数不等式
证明了一个尖锐的积分不等式并用于获得Sobolev插值不等式。此外,在 Sobolev 插值不等式的基础上构造了 Gross-Sobolev 对数不等式的新证明。