In this paper we construct solutions which develop two negative spikes as ε→0+for the problem Δu=|u|4/(N-2)u+εf(x) in Ω, u=0 on ∂Ω, where Ω⊂ℝNis a bounded smooth domain exhibiting a small hole, with f≥0, f≠0. This result extends a recent work of Clapp et al. in the sense that no symmetry assumptions on the domain are required. © 2008 The Royal Society of Edinburgh.
|Number of pages||22|
|Journal||Proceedings of the Royal Society of Edinburgh Section A: Mathematics|
|Publication status||Published - 1 Aug 2008|