Exact multiplicity of positive solutions for concave-convex and convex-concave nonlinearities

DOI10.1016/j.jde.2014.07.007zbMath1309.34033OpenAlexW2001828069MaRDI QIDQ743876

Yi Li, Philip Korman

Publication date: 1 October 2014

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

Full work available at URL: https://doi.org/10.1016/j.jde.2014.07.007

zbMATH Keywords

exact multiplicity of positivesolutionsreversed S-shaped bifurcationS-shaped bifurcation

Mathematics Subject Classification ID

Bifurcation theory for ordinary differential equations (34C23) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18) Boundary eigenvalue problems for ordinary differential equations (34B09)

Related Items (5)

Global behavior of bifurcation curves for the nonlinear eigenvalue problems with periodic nonlinear terms ⋮ Multiple positive solutions for singular elliptic problems involving concave-convex nonlinearities and sign-changing potential ⋮ On spectral properties of the Sturm-Liouville operator with power nonlinearity ⋮ \(S\)-shaped bifurcation curve for a nonlocal boundary value problem ⋮ Non-singular solutions of two-point problems, with multiple changes of sign in the nonlinearity

Cites Work

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• On the exactness of an S-shaped bifurcation curve
• On s-shaped bifurcation curves
• Exact multiplicity results for boundary value problems with nonlinearities generalising cubic
• Exact multiplicity of solutions for classes of semipositone problems with concave-convex nonlinearity

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