On the solutions of a singular elliptic equation concentrating on a circle

B. B. Manna, P. N. Srikanth

Let $A=\{x\in {\mathbb{R}}^{2N+2}:0<a<|x|<b\}$ be an annulus. Consider the following singularly perturbed elliptic problem on $A$ \begin{equation} \begin{array}{lll} -\eps^2{\De u} + |x…