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On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry. - MaRDI portal

On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry. (Q1587556)

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scientific article; zbMATH DE number 1537842
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English
On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry.
scientific article; zbMATH DE number 1537842

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    On a sharp Moser-Aubin-Onofri inequality for functions on \(S^ 2\) with symmetry. (English)
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    3 December 2000
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    A conjecture of Chang and Yang is answered in the affirmative in the axially symmetric case. This is related to the Moser-Trudinger inequality. The approach uses the critical point theory.
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    Moser-Trudinger inequality
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    Sobolev space
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    axial symmetry
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    critical point
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