2 papers
math.AP2016
On Ambrosetti-Malchiodi-Ni conjecture on two-dimensional smooth bounded domains
Suting Wei, Bin Xu, Jun Yang
We consider the problem $$ ε^2 Δu-V(y)u+u^p\,=\,0,~~u>0~~\quad\mbox{in}\quadΩ,~~\quad\frac {\partial u}{\partial ν}\,=\,0\quad\mbox{on}~~~\partial Ω, $$ where is a bounded doma…
math.AP2013
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…