TY - JOUR T1 - Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains JF - Geometric and Functional Analysis 15 (6) 1162-1222 (2005) Y1 - 2005 A1 - Andrea Malchiodi AB - We prove new concentration phenomena for the equation −ɛ2 Δu + u = up in a smooth bounded domain R3 and with Neumann boundary conditions. Here p > 1 and ɛ > 0 is small. We show that concentration of solutions occurs at some geodesics of ∂Ω when ɛ → 0. PB - Springer UR - http://hdl.handle.net/1963/4866 U1 - 4645 U2 - Mathematics U3 - Functional Analysis and Applications U4 - -1 ER -