Given a smooth bounded domain we consider the problem where p > 1, s > 0 is a large parameter,. is a positive function and. denotes the outward normal of. O. Let G be a curve intersecting orthogonally with. O at exactly two points and dividing O into two parts. Assuming moreover that G satisfies a stationary and non-degeneracy conditions with respect to the functional G. s, where s2p, we prove the existence of a solution us concentrating along the whole of G, exponentially small in s at any positive distance from it, provided that s is large and away from certain critical numbers.