Milan Kučera

Grants
- Bifurcation and dependence on parameters for unilateral boundary value problems and interpretation in natural sciences (IAA100190805)
  from 01/01/2008 to 31/12/2010 main investigator
- Smoothness of bifurcation branches for a Signorini problem was proved. Location of bifurcation points for reaction-diffusion systems with various unilateral conditions was described. The result is surprising in the case of Signorini-Neumann conditions.
- Bifurcation and dependence on parameters for variational inequalities with interpretation in natural sciences (IAA100190506)
  from 01/01/2005 to 31/12/2007 main investigator
- Smoothness, direction and stability of bifurcating branches for variational inequalities on nonconvex sets, global bifurcation for reaction-diffusion systems with nonstandard conditions and smooth dependence on data for the Signorini problem were given.
- Bifurcation and stability for variational inequaities with applications to mathematical models in biology (IAA1019202)
  from 01/01/2002 to 31/12/2004 main investigator
- A smooth dependence of solutions and contact sets on parameters and existence of smooth bifurcation branches for certain classes of variational inequalities was proved. In particular cases, even direction, stability and global behaviour of bifurcation branches were described.