Classification and a priori estimates for the singular prescribing \(Q\)-curvature equation on 4-manifold (Q2165550)
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scientific article; zbMATH DE number 7573812
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Classification and a priori estimates for the singular prescribing \(Q\)-curvature equation on 4-manifold |
scientific article; zbMATH DE number 7573812 |
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Classification and a priori estimates for the singular prescribing \(Q\)-curvature equation on 4-manifold (English)
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20 August 2022
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The authors prove a classification theorem for singular Liouville equations on the four-dimensional Euclidean space and carry out a concentration compactness analysis. Next, they deduce a quantization result for bubbling solutions and set up a priori estimate under the assumption that certain conformal invariant does not take some quantized values.
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blow-up analysis
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conical metrics
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moving plane method
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spherical Harnack inequality
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