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Bifurcation direction and exchange of stability for an elliptic unilateral BVP
- 1.0327466 - MÚ 2010 RIV US eng C - Conference Paper (international conference)
Eisner, Jan - Kučera, Milan - Recke, L.
Bifurcation direction and exchange of stability for an elliptic unilateral BVP.
More Progresses in Analysis - Proceedings of the 5th International ISAAC Congress. New York: World Scientific Publishing, 2009 - (Begehr, H.; Wand, G.; Nicolasi, F.), s. 675-684. ISBN 978-981-283-562-8.
[ISAAC Congress. Catania (IT), 25.07.2005-30.07.2005]
R&D Projects: GA AV ČR IAA100190506
Institutional research plan: CEZ:AV0Z10190503
Keywords : semilinear elliptic PDE * unilateral nonlocal boundary conditions * Crandall-Rabinowitz-type bifurcation
Subject RIV: BA - General Mathematics
The direction of bifurcation of nontrivial solutions to the elliptic boundary value problem involving unilateral nonlocal boundary conditions is shown in a neighbourhood of bifurcation points of a certain type. Moroover, the stability and instability of bifurcating solutions as well as of the trivial solution is described in the sense of minima of the potential. In particular, an exchange of stability is observed.
Permanent Link: http://hdl.handle.net/11104/0174274
Number of the records: 1