A double \(S\)-shaped bifurcation curve for a reaction-diffusion model with nonlinear boundary conditions

DOI10.1155/2010/357542zbMath1211.35037OpenAlexW2111777692WikidataQ59254635 ScholiaQ59254635MaRDI QIDQ1957500

Jerome II Goddard, Eun Kyoung Lee, Ratnasingham Shivaji

Publication date: 27 September 2010

Published in: Boundary Value Problems (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/227619

zbMATH Keywords

positive radial solutionsannulus

Mathematics Subject Classification ID

Boundary value problems for second-order elliptic equations (35J25) Reaction-diffusion equations (35K57) Bifurcations in context of PDEs (35B32)

Related Items (6)

Classification and evolution of bifurcation curves for the one-dimensional perturbed Gelfand equation with mixed boundary conditions ⋮ Double bifurcation diagrams and four positive solutions of nonlinear boundary value problems via time maps ⋮ Existence of positive radial solutions for superlinear, semipositone problems on the exterior of a ball ⋮ A multiscale asymptotic expansion for combustion system with composite materials ⋮ Existence of a double S-shaped bifurcation curve with six positive solutions for a combustion problem ⋮ Classification and evolution of bifurcation curves for a one-dimensional Dirichlet-Neumann problem with a specific cubic nonlinearity

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• Solutions of a Differential Equation Arising in Chemical Reactor Processes
• Proof of a conjecture for the perturbed Gelfand equation from combustion theory
• Multiplicity of positive radial solutions for multiparameter semilinear elliptic systems on an annulus

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