On the semilinear elliptic equations \(\Delta u + {\beta\over{(1 + |x|)^{\mu}}} u^p - {\gamma\over {(1 + |x|)^{\nu}}} u^q = 0\) in \(\mathbb{R}^n\)

DOI10.1006/JMAA.2000.6682zbMath0951.35042OpenAlexW2065734364MaRDI QIDQ1973942

Yong-Li Tang, Jann-Long Chern

Publication date: 28 August 2000

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

Full work available at URL: https://doi.org/10.1006/jmaa.2000.6682

zbMATH Keywords

uniquenesselliptic equationsunbounded positive solutions

Mathematics Subject Classification ID

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

Cites Work

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• A note on bounded positive entire solutions of semilinear elliptic equations
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Structure of positive radial solutions of Matukuma's equation
• Existence of positive entire solutions of some semilinear elliptic equations
• Classification of the structure of positive radial solutions to \(\Delta u+K(| x|)u^ p=0\) in \(\mathbb{R}^ n\)
• On the solution structures of the semilinear elliptic equations on ℝn
• Semilinear elliptic equations of Matukuma-type and related topics
• The Structure of Solutions of a Semilinear Elliptic Equation

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