Solution branches of a semilinear elliptic problem at corank-2 bifurcation points with Neumann boundary conditions

DOI10.1017/S0308210500025841zbMath0787.35014MaRDI QIDQ4275555

Zhen Mei

Publication date: 1 February 1994

Published in: Proceedings of the Royal Society of Edinburgh: Section A Mathematics (Search for Journal in Brave)

zbMATH Keywords

bifurcationsemilinear elliptic equationhomogeneous Neumann boundary conditionsenlarged systembranch switching\(D_ 4\)-equivariance

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Bifurcations in context of PDEs (35B32)

Related Items (5)

Semilinear Neumann boundary value problems on a rectangle ⋮ Forced symmetry-breaking via boundary conditions ⋮ Variation of bifurcations along a homotopy from Neumann to Dirichlet problems ⋮ Numerical Continuation at Double Bifurcation Points of a Reaction–Diffusion Problem ⋮ Multiple bifurcations in a reaction-diffusion problem

Cites Work

• Symmetry and nodal properties in the global bifurcation analysis of quasi-linear elliptic equations
• Bifurcations of a simplified buckling problem and the effect of discretizations
• Multiple limit point bifurcation
• Loss of stability and bifurcation at a double eigenvalue
• Solution Branches for Non-linear Equilibrium Problems—Bifurcation and Domain Perturbations
• On the Existence of Positive Solutions of Semilinear Elliptic Equations

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