Einschließungsaussagen f¨r positive lösungen superlinearer randwertaufgaben

Abstract

Using a modified version of Krasnoselskii's theorem on operators expanding a cone in a Banach space we proved in [11] existence and inclusion results for superlinear Uryson equations. In this paper we construct suitable cones to apply these results to inverse monotone boundary value problems. The bounds are improved by the method of cone iteration. For the construction we do not need Green's function explicitly.