Abstract

The aim of this paper is to prove the existence of k-peak solutions (solutions with more than one local maximum point) for the following singularly perturbed problem without imposing any extra condition on the boundary ∂Ω:

(1)

where ɛ is a small positive number, Ω is a bounded C³-domain in R^N, n is the unit outward normal of ∂Ω at y,2 < p < if N ≥ 3 and 2 < p < +∞ if N = 2.

Authors