Asymptotic symmetry of singular solutions of semilinear elliptic equations

DOI10.1016/J.JDE.2008.01.022zbMath1152.35035OpenAlexW2077768947MaRDI QIDQ952103

Chang-Shou Lin, Jyotshana V. Prajapat

Publication date: 6 November 2008

Published in: Journal of Differential Equations (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jde.2008.01.022

zbMATH Keywords

semilinear elliptic equationssingular solutiona priori estimateasymptotic symmetry

Mathematics Subject Classification ID

Stability in context of PDEs (35B35) Nonlinear elliptic equations (35J60) A priori estimates in context of PDEs (35B45)

Related Items (7)

Qualitative properties of singular solutions to fractional elliptic equations ⋮ Asymptotic behavior of solutions to the Yamabe equation with an asymptotically flat metric ⋮ Symmetry for an integral system with general nonlinearity ⋮ Symmetry of positive solutions to the coupled fractional system with isolated singularities ⋮ Qualitative analysis of singular solutions for nonlinear elliptic equations with potentials ⋮ Singular Solutions of the Scalar Field Equation with a Critical Exponent ⋮ Existence of sharp asymptotic profiles of singular solutions to an elliptic equation with a sign-changing non-linearity

Cites Work

• Unnamed Item
• Positive solution branch for elliptic problems with critical indefinite nonlinearity.
• Liouville-type theorems and harnack-type inequalities for semilinear elliptic equations
• Estimate of the conformal scalar curvature equation via the method of moving planes. II
• On the asymptotic symmetry of singular solutions of the scalar curvature equations
• On compactness and completeness of conformal metrics in \(\mathbb{R}^N\)
• Elliptic partial differential equations of second order
• Local behavior of singular positive solutions of semilinear elliptic equations with Sobolev exponent
• Prescribed scalar curvature on the \(n\)-sphere
• Local asymptotic symmetry of singular solutions to nonlinear elliptic equations
• Harnack type inequality and a priori estimates for solutions of a class of semilinear elliptic equations
• Asymptotic symmetries for conformal scalar curvature equations with singularity
• Asymptotic symmetry and local behavior of semilinear elliptic equations with critical sobolev growth
• Estimates of the conformal scalar curvature equation via the method of moving planes
• Prescribing scalar curvature on Sn and related problems, part II: Existence and compactness

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