| Title | Concentration at curves for a singularly perturbed Neumann problem in three-dimensional domains |
| Publication Type | Journal Article |
| Year of Publication | 2005 |
| Authors | Malchiodi, A |
| Journal | Geometric and Functional Analysis 15 (6) 1162-1222 (2005) |
| 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 → 0. |
| URL | http://hdl.handle.net/1963/4866 |
| DOI | 10.1007/s00039-005-0542-7 |
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