Bifurcation resulting from changes in domain in a reaction-diffusion equation

DOI10.1016/0022-0396(83)90042-6zbMath0519.35040OpenAlexW2037903698MaRDI QIDQ1054892

Hendrik J. Kuiper, Barbara Lee Keyfitz

Publication date: 1983

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

Full work available at URL: https://doi.org/10.1016/0022-0396(83)90042-6

zbMATH Keywords

symmetryreaction-diffusion equationhomogeneous Neumann boundary conditionssecondary bifurcationimperfect bifurcationchanges in domain

Mathematics Subject Classification ID

Nonlinear initial, boundary and initial-boundary value problems for linear parabolic equations (35K60) Bifurcations in context of PDEs (35B32)

Related Items (1)

The effect of domain shape on the number of positive solutions of certain nonlinear equations

Cites Work

• Boundary conditions and mode jumping in the buckling of a rectangular plate
• A nonlinear parabolic equation with varying domain
• Asymptotic behavior and stability of solutions of semilinear diffusion equations
• Bifurcations caused by perturbing the domain in an elliptic equation
• Imperfect bifurcation in the presence of symmetry
• Instability results for reaction-diffusion equations with Neumann boundary conditions
• Bifurcations withO(3) symmetry including applications to the Bénard problem
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