The Nehari manifold for the equation -? u(x) = ? u(x) + b(x) |u(x)|?- 2u(x) for x e ? together with Dirichlet boundary conditions is investigated in the case where 1 < ? < 2. Exploiting the relationship between the Nehari manifold and fibrering maps (i.e., maps of the form t ? J(tu) where J is the Euler functional associated with the equation), we discuss how the Nehari manifold changes as ? changes and show how this is linked to results on bifurcation from infinity which are associated with the problem. © Springer-Verlag 2004.
|Number of pages||12|
|Journal||Calculus of Variations and Partial Differential Equations|
|Publication status||Published - Apr 2005|