Existence and nonexistence of positive solutions to some fully nonlinear equation in one dimension

Patricio Felmer, Norihisa Ikoma

In this paper, we consider the existence (and nonexistence) of solutions to \[ -\mathcal{M}_{λ,Λ}^\pm (u'') + V(x) u = f(u) \quad {\rm in} \ \mathbf{R} \] where $\mathcal{M}_{λ,Λ}^…