Some remarks on the \(Q\) curvature type problem on \(\mathbb{S}^N\) (Q2877692)
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scientific article; zbMATH DE number 6334052
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Some remarks on the \(Q\) curvature type problem on \(\mathbb{S}^N\) |
scientific article; zbMATH DE number 6334052 |
Statements
25 August 2014
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fourth-order problem
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critical exponent
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uniqueness
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multiplicity
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Some remarks on the \(Q\) curvature type problem on \(\mathbb{S}^N\) (English)
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This paper deals with a class of nonlinear poly-harmonic problems related to the \(Q\) curvature. The main results of the present paper establish the existence, the uniqueness of the positive solution, as well as related multiplicity properties. The proofs combine the Kazdan-Warner identities with related estimates and the Pohozaev identities.
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