Resumen de On a singular perturbed problem in an annulus

Sanjiban Santra, Juncheng Wei

• In this paper we prove the conjecture due to Ruf–Srikanth [14]. We prove the existence of positive solution under Dirichlet and Neumann boundary conditions, which concentrate near the inner boundary and outer boundary of an annulus respectively as ɛ0. In fact, our result is independent of the dimension of RN .