Solution Branches for Non-linear Equilibrium Problems—Bifurcation and Domain Perturbations

DOI10.1093/imamat/28.2.109zbMath0524.35013OpenAlexW1969557974MaRDI QIDQ3037872

Peter Budden, John Norbury

Publication date: 1982

Published in: IMA Journal of Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1093/imamat/28.2.109

zbMATH Keywords

domain perturbationssolution branchesperturbed bifurcationbifurcation from multiple eigenvaluesnon-linear equilibrium problems

Mathematics Subject Classification ID

Nonlinear boundary value problems for linear elliptic equations (35J65) Nonlinear eigenvalue problems and nonlinear spectral theory for PDEs (35P30) Perturbations in context of PDEs (35B20) Bifurcations in context of PDEs (35B32)

Related Items (9)

Continuation-minimization methods for stability problems ⋮ Solution branches of a semilinear elliptic problem at corank-2 bifurcation points with Neumann boundary conditions ⋮ A spectral-Galerkin continuation method using Chebyshev polynomials for the numerical solutions of the Gross-Pitaevskii equation ⋮ Path following around corank-2 bifurcation points of a semi-linear elliptic problem with symmetry ⋮ Solution branches of a semilinear elliptic problem at corank-2 bifurcation points ⋮ On the numerical solution of double-periodic elliptic eigenvalue problems ⋮ SYMMETRY REDUCTIONS AND A POSTERIORI FINITE ELEMENT ERROR ESTIMATORS FOR BIFURCATION PROBLEMS ⋮ On a numerical Lyapunov-Schmidt method for operator equations ⋮ Bifurcations of a simplified buckling problem and the effect of discretizations

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