Existence of singular positive solutions of semilinear elliptic equations

DOI10.1007/BF02677356zbMath0929.35041MaRDI QIDQ1299871

Wan Zhuang, Jian Gang Qi

Publication date: 25 January 2000

Published in: Acta Mathematicae Applicatae Sinica. English Series (Search for Journal in Brave)

zbMATH Keywords

supersolutionsradial functionssubsolutionsmonotone iterative method

Mathematics Subject Classification ID

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

Related Items (1)

Existence of singular positive solutions for a class quasilinear elliptic equations

Cites Work

• Unnamed Item
• Uniqueness of positive solutions of semilinear equations in \(R^ n\).
• Uniqueness of non-negative solutions of semilinear equations in \({\mathbb{R}}^ n\)
• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• Symmetry and related properties via the maximum principle
• Existence of singular solutions of semilinear elliptic equation in \(R^ n\)
• On ground state solutions of \(-\Delta{} u=u^ p-u^ q\)
• Existence and asymptotic behavior of nodal solutions for semilinear elliptic equations
• Positive singular solutions for semilinear elliptic equations with supercritical growth
• Nonexistence theorems for singular solutions of quasilinear partial differential equations

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