Smooth bifurcation for variational inequalities based on the implicit function theorem

DOI10.1016/S0022-247X(02)00272-XzbMath1018.34042OpenAlexW2079721893MaRDI QIDQ1856938

Jan Eisner, Lutz Recke, Milan Kučera

Publication date: 11 February 2003

Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0022-247x(02)00272-x

zbMATH Keywords

variational inequalitiesimplicit function theoremsmooth bifurcation

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Bifurcation theory for ordinary differential equations (34C23) Analytical theory of ordinary differential equations: series, transformations, transforms, operational calculus, etc. (34A25) Bifurcations of singular points in dynamical systems (37G10)

Related Items

A variational approach to bifurcation points of a reaction-diffusion system with obstacles and Neumann boundary conditions., Bifurcation direction and exchange of stability for variational inequalities on nonconvex sets, A variational approach to bifurcation in reaction-diffusion systems with Signorini type boundary conditions., Smooth dependence on parameters of solutions and contact regions for an obstacle problem., Direction and stability of bifurcation branches for variational inequalities, Location of Bifurcation Points for a Reaction-Diffusion System with Neumann-Signorini Conditions, Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem.

Cites Work

• Global bifurcation in variational inequalities: applications to obstacle and unilateral problems
• Stability and continuation of solutions to obstacle problems
• Smooth continuation of solutions and eigenvalues for variational inequalities based on the implicit function theorem.
• Bifurcation from simple eigenvalues
• Bifurcation From Minimax Solutions by Variational Inequalities
• Verzweigungsprobleme für Variationsungleichugen
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