A COMPARISON PRINCIPLE AND APPLICATIONS TO ASYMPTOTICALLY p-LINEAR BOUNDARY VALUE PROBLEMS

Abstract

without requiring that f g a.e. in. Here denotes the outer unit normal vector on . It should be noted that the assumptions f g and f ¥ g in  are needed in previous literature (see e.g. [9] and the references therei n). We also provide an application to the existence of positive solutions for a class of sin gular p-Laplacian boundary value problems with asymptoticallyp-linear nonlinearity. Let d(x) D d(x, ) be the distance fromx to , we prove the following result: