Exact multiplicity of solutions and \(S\)-shaped bifurcation curve for a class of semilinear elliptic equations

DOI10.1016/j.jmaa.2006.08.081zbMath1121.34029OpenAlexW2118231848MaRDI QIDQ879110

Yu-Wen Wang, Junping Shi, Yuhua Zhao

Publication date: 4 May 2007

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.2006.08.081

zbMATH Keywords

bifurcationexact multiplicity

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Parameter dependent boundary value problems for ordinary differential equations (34B08)

Related Items

The Nehari manifold for a Kirchhoff type problem involving sign-changing weight functions, Steady states and dynamics of an autocatalytic chemical reaction model with decay, Positive steady states of an indefinite equation with a nonlinear boundary condition: existence, multiplicity, stability and asymptotic profiles, \(S\)-shaped bifurcation curve for a nonlocal boundary value problem, Topological instabilities in families of semilinear parabolic problems subject to nonlinear perturbations, Modified Adomian decomposition method to solve generalized Emden-Fowler systems for singular IVP, Global bifurcation and exact multiplicity of positive solutions for a positone problem with cubic nonlinearity and their applications, On \(S\)-shaped bifurcation curves for a class of perturbed semilinear equations

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