Asymptotic expansions for singular solutions of conformal Q-curvature equations

DOI10.1007/s12220-022-00930-2zbMath1491.35237OpenAlexW4225307216MaRDI QIDQ2135525

Zongming Guo, ZhongYuan Liu, FangShu Wan

Publication date: 9 May 2022

Published in: The Journal of Geometric Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s12220-022-00930-2

zbMATH Keywords

asymptotic expansionssingular solutionsconformally invariant equation of fourth order

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Asymptotic expansions of solutions to PDEs (35C20) Higher-order elliptic equations (35J30) Semilinear elliptic equations with Laplacian, bi-Laplacian or poly-Laplacian (35J91)

Cites Work

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• Asymptotic behavior of solutions for some elliptic equations in exterior domains
• Classification of solutions of certain fourth-order nonlinear elliptic equations in \(\mathbb R^4\)
• Existence of conformal metrics with constant \(Q\)-curvature
• LECTURES ON THE FOURTH-ORDER Q CURVATURE EQUATION
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• Explicit Functional Determinants in Four Dimensions
• Moduli Spaces of Singular Yamabe Metrics
• Asymptotic Expansions of Solutions of the Yamabe Equation and the σ_k‐Yamabe Equation near Isolated Singular Points
• Asymptotic behavior at the isolated singularities of solutions of some equations on singular manifolds with conical metrics

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