Article ID Journal Published Year Pages File Type
839688 Nonlinear Analysis: Theory, Methods & Applications 2015 17 Pages PDF
Abstract

We consider a class of singularly perturbed elliptic problems with nonautonomous asymptotically linear nonlinearities. The dependence on the spatial coordinates comes from the presence of a potential and of a function representing a saturation effect. We investigate the existence of nontrivial nonnegative solutions concentrating around local minima of both the potential and of the saturation function. Necessary conditions to locate the possible concentration points are also given.

Related Topics
Physical Sciences and Engineering Engineering Engineering (General)
Authors
, , ,