Existence of singular solutions of semilinear elliptic equation in \(R^ n\)

DOI10.1016/0022-0396(91)90108-LzbMath0749.35013MaRDI QIDQ1181700

Xing-Bin Pan

Publication date: 27 June 1992

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

zbMATH Keywords

positive radial solutions

Mathematics Subject Classification ID

Asymptotic behavior of solutions to PDEs (35B40) Nonlinear elliptic equations (35J60) Laplace operator, Helmholtz equation (reduced wave equation), Poisson equation (35J05)

Related Items

Singular solutions of the elliptic equation \(\Delta u- u+u^ p =0\), Existence of singular positive solutions of semilinear elliptic equations

Cites Work

• On the elliptic equation \(\Delta u+Ku^{(n+2)/(n-2)}=0\) and related topics
• On conformal scalar curvature equations in \({\mathbb{R}}^ n\)
• Nonexistence theorems for singular solutions of quasilinear partial differential equations
• A Counterexample to the Nodal Domain Conjecture and a Related Semilinear Equation
• Uniqueness of solutions of nonlinear Dirichlet problems
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