On the Moser-Onofri and Prékopa-Leindler inequalities (Q2567328)
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| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the Moser-Onofri and Prékopa-Leindler inequalities |
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On the Moser-Onofri and Prékopa-Leindler inequalities (English)
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30 September 2005
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By means of elementary convexity arguments which involve the Legendre transformation and of the Prékopa-Leindler inequality, it is proved the sharp Moser-Onofri inequality \[ {1\over 16\pi}\int| \nabla\varphi| ^2+{1\over 4\pi}\int\varphi- \log\left({1\over 4\pi}\int e^{\varphi}\right)\geq0,\quad\forall \varphi\in C^{\infty}(S^2). \]
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Moser-Trudinger inequality
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Prekópa-Leindler inequality
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Sobolev embedding
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Moser-Onofri inequality
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Legendre transform
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