On the asymptotic symmetry of singular solutions of the scalar curvature equations

DOI10.1007/s002080050259zbMath0927.35034OpenAlexW1985895902MaRDI QIDQ1298133

Chang-Shou Lin, Chuin Chuan Chen

Publication date: 29 November 1999

Published in: Mathematische Annalen (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s002080050259

zbMATH Keywords

positive solutionsconformal metricremovable singularitysingular set

Mathematics Subject Classification ID

Other nonlinear integral equations (45G10) Nonlinear elliptic equations (35J60) Methods of global Riemannian geometry, including PDE methods; curvature restrictions (53C21)

Related Items (27)

Combining Solutions of Semilinear Partial Differential Equations in ℝⁿwith Critical Sobolev Exponent ⋮ Large singular solutions for conformal \(Q\)-curvature equations on \(\mathbb{S}^n\) ⋮ Asymptotic behavior of solutions to the \(\sigma_{k}\)-Yamabe equation near isolated singularities ⋮ Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric ⋮ Local estimates for conformal \(Q\)-curvature equations ⋮ Exact asymptotic behavior of singular positive solutions of fractional semi-linear elliptic equations ⋮ Isolated singularities of solutions to the Yamabe equation ⋮ On isolated singularities of fractional semi-linear elliptic equations ⋮ Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials ⋮ Removable singularity of positive solutions for a critical elliptic system with isolated singularity ⋮ Structure results for semilinear elliptic equations with Hardy potentials ⋮ Asymptotic symmetry of singular solutions of semilinear elliptic equations ⋮ Estimates of the scalar curvature equation via the method of moving planes III ⋮ Exotic solutions of the conformal scalar curvature equation in \(\mathbb{R}^n\) ⋮ Asymptotic symmetries for conformal scalar curvature equations with singularity ⋮ Corrigendum and addendum to: ``Non-autonomous quasilinear elliptic equations and Ważewski's principle ⋮ Liouville theorem and isolated singularity of fractional Laplacian system with critical exponents ⋮ Multiplicity of ground states for the scalar curvature equation ⋮ Supported Blow-up and prescribed scalar curvature on 𝑆ⁿ ⋮ Unnamed Item ⋮ Singular Solutions of the Scalar Field Equation with a Critical Exponent ⋮ Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations ⋮ Qualitative properties of positive singular solutions to nonlinear elliptic systems with critical exponent ⋮ Asymptotic behavior of positive solutions to a nonlinear biharmonic equation near isolated singularities ⋮ Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity ⋮ Refined asymptotic estimates for conformal scalar curvature equation via moving sphere method ⋮ Multiplicity of radial ground states for the scalar curvature equation without reciprocal symmetry

This page was built for publication: On the asymptotic symmetry of singular solutions of the scalar curvature equations