Smooth bifurcation and variation of the contact sets for an obstacle problem

0022067 - MÚ 2006 RIV SG eng C - Conference Paper (international conference)
Eisner, Jan - Kučera, Milan - Recke, L.
Smooth bifurcation and variation of the contact sets for an obstacle problem.
[Hladká bifurkace a změna kontaktní množiny pro úlohu s překážkou.]
Equadiff 2003, International Conference on Differential Equations. Singapore: World Scientific, 2005 - (Dumortier, F.; Broer, H.; Vanderbauwhede, A.; Lunel, S.), s. 281-283. ISBN 981-256-169-2.
[Equadiff 2003, International Conference on Differential Equations. Hasselt 2003 (DE), 22.07.2003-26.07.2003]
R&D Projects: GA AV ČR(CZ) IAA1019202
Institutional research plan: CEZ:AV0Z70850503
Keywords : smooth bifurcation * smooth dependence on parameters * variational inequality
Subject RIV: BA - General Mathematics

We consider a fourth order quasilinear Sturm-Liouville problem with unilateral constraints. Bifurcation of smooth solution branches as well as smooth dependence of the contact sets of the bifurcating solutions on parameters are shown.

Uvažujeme kvazilineární Sturm-Liouvilleovu úlohu 4. řádu s jednostrannou překážkou. Ukazujeme hladkou bifurkaci řešení dotýkajících se překážky a hladkou změnu oblasti dotyku na parametrech.
Permanent Link: http://hdl.handle.net/11104/0110874