Existence of large singular solutions of conformal scalar curvature equations in \(S^n\)

DOI10.1016/J.JFA.2004.12.002zbMath1128.35340OpenAlexW1970951843MaRDI QIDQ557044

Steven D. Taliaferro

Publication date: 23 June 2005

Published in: Journal of Functional Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jfa.2004.12.002

zbMATH Keywords

Conformal scalar curvature equationIsolated singularitySingular solution

Mathematics Subject Classification ID

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

Related Items (4)

Large singular solutions for conformal \(Q\)-curvature equations on \(\mathbb{S}^n\) ⋮ A priori estimates versus arbitrarily large solutions for fractional semi-linear elliptic equations with critical Sobolev exponent ⋮ Local estimates for conformal \(Q\)-curvature equations ⋮ Supported Blow-up and prescribed scalar curvature on 𝑆ⁿ

Cites Work

• Refined asymptotics for constant scalar curvature metrics with isolated singularities
• Blow-up solutions of nonlinear elliptic equations in \(\mathbb{R}^n\) with critical exponent
• Existence of positive weak solutions with a prescribed singular set of semilinear elliptic equations
• Constant scalar curvature metrics with isolated singularities
• Asymptotic symmetries for conformal scalar curvature equations with singularity
• 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
• Estimates of the conformal scalar curvature equation via the method of moving planes
• Estimates of the scalar curvature equation via the method of moving planes III
• Arbitrarily large solutions of the conformal scalar curvature problem at an isolated singularity

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