The positive solutions of boundary value problems for a class of one-dimensional \(p\)-Laplacians

DOI10.1016/J.NA.2006.11.044zbMath1135.34308OpenAlexW2018457167MaRDI QIDQ2470079

Yanfang Shao, Jiangang Cheng

Publication date: 13 February 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2006.11.044

zbMATH Keywords

positive solutionboundary value problem\(p\)-Laplaciantime map

Mathematics Subject Classification ID

Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (3)

Positive solutions of the one-dimensional \(p\)-Laplacian with nonlinearity defined on a finite interval ⋮ Bifurcation diagrams and exact multiplicity of positive solutions of one-dimensional prescribed mean curvature equation in Minkowski space ⋮ Unnamed Item

Cites Work

• On an open problem of Ambrosetti, Brezis and Cerami
• Exact multiplicity for degenerate two-point boundary value problems with \(p\)-convex nonlinearity
• Exact multiplicity results for a \(p\)-Laplacian problem with concave--convex--concave nonlinearities
• Exact number of positive solutions for a class of semipositone problems
• Evolution of positive solution curves in semipositone problems with concave nonlinearities
• An exact multiplicity theorem involving concave-convex nonlinearities and its application to stationary solutions of a singular diffusion problem
• Exact number of solutions of a class of two-point boundary value problems involving concave and convex nonlinearities

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