@article {2005, title = {Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains}, journal = {Geometric and Functional Analysis 15 (6) 1162-1222 (2005)}, year = {2005}, publisher = {Springer}, abstract = {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 {\textrightarrow} 0.}, doi = {10.1007/s00039-005-0542-7}, url = {http://hdl.handle.net/1963/4866}, author = {Andrea Malchiodi} }