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Note on an inequality - MaRDI portal

Note on an inequality (Q850168)

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scientific article; zbMATH DE number 5072654
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Note on an inequality
scientific article; zbMATH DE number 5072654

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    Note on an inequality (English)
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    15 November 2006
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    The author proves the case of three masses, of an inequality of discrete type, which is conjectered by A. Bahri and Y. Xu. This inequality arises in a natural way when one tries to establish a Morse lemma at infinity for the Yamabe changing-sign problem on \(S^3\). After providing a proof for \(p=3\), the author presents a heuristic argument which shows why such an inequality should hold for any \(p\) points in \(\mathbb R^3\).
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    inequality of discrete type
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    Yamabe changing sign problem
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    Morse Lemma at infinity
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