Concentration on Surfaces for a Singularly Perturbed Neumann Problem in Three-Dimensional Domains

Ying Guo, Jun Yang

We consider the following singularly perturbed elliptic problem $$ \varepsilon^2\triangle\tilde{u}-\tilde{u}+\tilde{u}^p=0, \ \tilde{u}>0\quad \mbox{in} \ Ω,\ \ \ \frac{\partial\ti…