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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