Spike layered solutions for elliptic systems on Riemannian Manifolds

Anusree R Kannoth, Bhakti Bhusan Manna

In this article, we study the following Hamiltonian system: \begin{equation*} \begin{cases} \begin{aligned} &-\varepsilon^{2}Δ_{g} u +u = |v|^{q-1}v, &-\varepsilon^{2}Δ_{g} v +v =…