Full Length Research Paper
Abstract
In this paper we consider the following problem 
where 
is a bounded domain in 
with smooth boundary, 
is a small parameter, 
denotes the outward normal of and 
. Let 
be a straight line intersecting with 
at exactly two points. We will prove the existence of a solution 
possessing curve concentrating set near , exponentially small in at any positive distance from the concentrating set, provided is small and away from certain critical numbers.
Key Words: Curve concentration, singular perturbation, neumann problems, spike layer.
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