Global Bifurcation for a Reaction-Diffusion System with Inclusions

0331689 - MÚ 2010 RIV DE eng J - Journal Article
Eisner, Jan - Kučera, Milan - Väth, M.
Global Bifurcation for a Reaction-Diffusion System with Inclusions.
Zeitschrift für Analysis und Ihre Anwendungen. Roč. 28, č. 4 (2009), s. 373-409. ISSN 0232-2064. E-ISSN 1661-4534
R&D Projects: GA AV ČR IAA100190506
Institutional research plan: CEZ:AV0Z10190503
Keywords : global bifurcation * degree * stationary solutions * reaction-diffusion system * Laplace operator
Subject RIV: BA - General Mathematics
Impact factor: 0.371, year: 2009
http://www.ems-ph.org/journals/show_abstract.php?issn=0232-2064&vol=28&iss=4&rank=1

We consider a reaction-diffusion system exhibiting diffusion driven instability if supplemented by Dirichlet-Neumann boundary conditions. We impose unilateral conditions given by inclusions on this system and prove that global bifurcation of spatially non-homogeneous stationary solutions occured in the domain of parameters where bifurcation is excluded for the original mixed boundary value problem. Inclusions can be considered in one of the equations itself as well as in boundary conditions.
Permanent Link: http://hdl.handle.net/11104/0177139