Singular solutions to the \(\sigma_k\)-Yamabe equation with prescribed asymptotics

DOI10.1007/S00526-024-02675-YMaRDI QIDQ6190032

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Publication date: 5 March 2024

Published in: Calculus of Variations and Partial Differential Equations (Search for Journal in Brave)

zbMATH Keywords

Yamabe problem on a cylinder

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Semilinear elliptic equations (35J61)

Cites Work

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• Constant \(\sigma_k\)-curvature metrics with Delaunay type ends
• Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities
• Schouten tensor and some topological properties
• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• Constant scalar curvature metrics with isolated singularities
• Singular solutions to the Yamabe equation with prescribed asymptotics
• Conformally invariant fully nonlinear elliptic equations and isolated singularities
• Classification of singular radial solutions to the \(\sigma_k\) Yamabe equation on annular domains
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• The existence of weak solutions with prescribed singular behavior for a conformally invariant scalar equation
• Asymptotic Expansions of Solutions of the Yamabe Equation and the σ_k‐Yamabe Equation near Isolated Singular Points
• Convexity and singularities of curvature equations in conformal geometry

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