Multi-peak solutions for singularly perturbed nonlinear Dirichlet problems involving critical growth

Yi He, Juncheng Wei, Jianjun Zhang

We consider the following singularly perturbed elliptic problem \[ - {\varepsilon ^2}Δu + u = f(u){\text{ in }}Ω,{\text{ }}u > 0{\text{ in }}Ω,{\text{ }}u = 0{\text{ on }}\partial…