About this Mathematics article
Bifurcation Direction and Exchange of Stability for Variational Inequalities on Nonconvex Sets by Jan Eisner; Milan Kučera; Lutz Recke is a Mathematics article available to read on EtoBox.
This paper concerns Crandall-Rabinowitz type bifurcation for abstract variational inequalities on nonconvex sets and with multidimensional bifurcation parameter. We derive formulae which determine the bifurcation direction and, in the case of potential operators, the stability of all solutions close to the bifurcation point. In particular, it follows that in some cases an exchange of stability appears similar to the case of equations, but in some other cases stable nontrivial solutions bifurcate at points where there is no loss of stability of the trivial solution. As an application we consider a system of two second order ODEs with nonconvex unilateral boundary conditions.
It is typically read by researchers, students, and practitioners in Mathematics.
- Author
- Jan Eisner; Milan Kučera; Lutz Recke
- Publisher
- Elsevier Science; Elsevier ; Elsevier Ltd.; Elsevier BV (ISSN 0362-546X)
- Published
- 2007
- Language
- EN
- Field
- Mathematics (Physical Sciences)