Smooth Bifurcation for Variational Inequalities Based on the Implicit FunctionTheorem

0175199 - MU-W 20020087 RIV US eng J - Journal Article
Recke, L. - Eisner, Jan - Kučera, Milan
Smooth Bifurcation for Variational Inequalities Based on the Implicit FunctionTheorem.
Journal of Mathematical Analysis and Applications. Roč. 275, č. 2 (2002), s. 615-641. ISSN 0022-247X. E-ISSN 1096-0813
Institutional research plan: CEZ:AV0Z1019905
Keywords : smooth bifurcation%variational inequalities%simple eigenvalue
Subject RIV: BA - General Mathematics
Impact factor: 0.458, year: 2002

The existence and local uniqueness of smooth branches of nontrivial solutions to variational inequalities is proved. These branches emanate from the set of trivial solutions at simple eigenvalues of the homogenized variational inequality. The proof is used on a nonstandard use of the implicit function theorem.
Permanent Link: http://hdl.handle.net/11104/0072186