Bifurcation of an equation from catalysis theory

DOI10.1016/0362-546X(94)90100-7zbMath0815.34017OpenAlexW1970879518MaRDI QIDQ4322166

Shin-Hwa Wang, Fu-Ping Lee

Publication date: 27 June 1995

Published in: Nonlinear Analysis: Theory, Methods & Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0362-546x(94)90100-7

zbMATH Keywords

bifurcation curvecatalysis theoryone dimensional perturbed Gelfand problem

Mathematics Subject Classification ID

Nonlinear boundary value problems for ordinary differential equations (34B15) Bifurcation theory for ordinary differential equations (34C23) Chemistry (general) in thermodynamics and heat transfer (80A50)

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A simplified proof of a conjecture for the perturbed Gelfand equation from combustion theory ⋮ Stability and instability of solutions of semilinear problems ⋮ Exact multiplicity of solutions and \(S\)-shaped bifurcation curve for a class of semilinear elliptic equations ⋮ Persistence and bifurcation of degenerate solutions ⋮ A complete classification of bifurcation diagrams of a \(p\)-Laplacian Dirichlet problem

Cites Work

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• On s-shaped bifurcation curves
• Solutions of a Differential Equation Arising in Chemical Reactor Processes