A complete classification of bifurcation diagrams of classes of a multiparameter Dirichlet problem with concave-convex nonlinearities

DOI10.1016/J.JMAA.2008.08.020zbMath1160.34017OpenAlexW2065255289MaRDI QIDQ952152

Kuo-Chih Hung, Shin-Hwa Wang

Publication date: 6 November 2008

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.jmaa.2008.08.020

zbMATH Keywords

Dirichlet problempositive solutionbifurcation diagramexact multiplicity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Positive solutions to nonlinear boundary value problems for ordinary differential equations (34B18)

Related Items (2)

Exact multiplicity of positive solutions of a semipositone problem with concave-convex nonlinearity ⋮ The spectrum in \(\mathbb R\) and \(\mathbb R^2\) of nonlinear elliptic equations with positive parameters

Cites Work

• Combined effects of concave and convex nonlinearities in some elliptic problems
• A complete classification of bifurcation diagrams of a Dirichlet problem with concave-convex nonlinearities.
• On uniqueness of positive solutions for a class of semilinear equations.
• Exact multiplicity for semilinear elliptic Dirichlet problems involving concave and convex nonlinearities
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