Uniqueness of positive solutions of a class of quasilinear ordinary differential equations

DOI10.1007/s11766-000-0003-xzbMath0956.34019OpenAlexW102915271MaRDI QIDQ1976448

Zuodong Yang, Zongming Guo

Publication date: 26 October 2000

Published in: Applied Mathematics. Series B (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s11766-000-0003-x

zbMATH Keywords

positive solutionsquasilinear ordinary differential equations

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Cites Work

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• Local and global properties of solutions of quasilinear elliptic equations
• Uniqueness of positive solutions of \(\Delta u-u+u^ p=0\) in \(R^ n\)
• Symmetry and related properties via the maximum principle
• Global bifurcation from the eigenvalues of the \(p\)-Laplacian
• Bifurcation Phenomena Associated to the p-Laplace Operator
• Uniqueness and nonuniqueness for positive radial solutions of Δu + f(u, r) = 0
• Generalization of Fredholm alternative for nonlinear differential operators
• Some existence and multiplicity results for a class of quasilinear elliptic eigenvalue problems
• Uniqueness of positive solutions for quasilinear elliptic equations when a parameter is large
• On the structure of positive solutions for quasilinear ordinary differential equations

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