Type (II) regions between curves of the Fucik spectrum

The Fucik spectrum for a semilinear problem with asymptotic linearities has been shown to consist, at least locally, of curves emanating from a sequence of points in the plane. Regions between curves emanating from different points (referred to as type (I) regions in this paper) have a different nature than those between curves emanating from the same point (referred to as type (II) regions). Problems for which asymptotic limits fall in regions of type (I) have been solved by several authors, but not those for which the limits fall in a type (II) region. In the present paper we solve problems in which the asymptotic limits fall in type (II) regions. Received March 5, 1996