A note on the existence of more than one solution for asymptotically linear equations
E. Podolak · Czech digital mathematics library · 1977
Consider the nonlinear operator equation In + tUu) == f with nonlinearity satisfying P Q N(x 0 )-»» 0 as li x (I -* co for x in Ker L f P being the projection onto Coker L. Under additional hypotheses we show that this equation has the property that for II P f l| sufficiently small, it has at least two solutions.