Local estimate on singular solution to scalar curvature equation

DOI10.1016/J.JMAA.2004.01.034zbMath1171.35376OpenAlexW2053115846MaRDI QIDQ1763801

Yun Yan Yang

Publication date: 22 February 2005

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2004.01.034

zbMATH Keywords

scalar curvature equationlocal behavior of a positive singular solution

Mathematics Subject Classification ID

Nonlinear elliptic equations (35J60) Oscillation, zeros of solutions, mean value theorems, etc. in context of PDEs (35B05)

Cites Work

• Conformally flat manifolds, Kleinian groups and scalar curvature
• Classification of solutions of some nonlinear elliptic equations
• Liouville-type theorems for semilinear elliptic equations involving the Sobolev exponent
• Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent
• A symmetry problem in potential theory
• 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

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