Global Analysis of Two-Parameter Elliptic Eigenvalue Problems

DOI10.2307/1999990zbMath0543.35039OpenAlexW4232670970MaRDI QIDQ3331613

Klaus Schmitt, Heinz-Otto Peitgen

Publication date: 1984

Full work available at URL: https://doi.org/10.2307/1999990

zbMATH Keywords

numerical continuationnumerical computationsbifurcation from infinitysolution continuaunfolding of bifurcations

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Continuation and prolongation of solutions to PDEs (35B60) Bifurcations in context of PDEs (35B32) Numerical methods for partial differential equations, initial value and time-dependent initial-boundary value problems (65M99) Numerical methods for partial differential equations, boundary value problems (65N99)

Related Items (13)

On the global set of solutions of a nonlinear ODE: theoretical and numerical description ⋮ Bifurcation from interval at infinity for discrete eigenvalue problems which are not linearizable ⋮ Unfolding bifurcations of an elliptic boundary value problem ⋮ Oscillatory perturbations of linear problems at resonance ⋮ A Fredholm alternative for elliptic equations with interior and boundary nonlinear reactions ⋮ Periodic perturbations of linear problems at resonance on convex domains ⋮ Nonlinear elastic beam problems with the parameter near resonance ⋮ Existence and continuation of solutions for a nonlinear Neumann problem ⋮ Pairs of Nodal Solutions for a Class of Nonlinear Problems with One-sided Growth Conditions ⋮ Positive solutions of systems of nonlinear eigenvalue problems ⋮ The Influence of Boundary Data on the Number of Solutions of Boundary Value Problems with Jumping Nonlinearities ⋮ Landesman-Lazer type problems at an eigenvalue of odd multiplicity ⋮ A Class of Nonlinear Sturm-Liouville Problems With Infinitely Many Solutions

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