Asymptotic profiles for a nonlinear Schrödinger equation with critical combined powers nonlinearity

Shiwang Ma, Vitaly Moroz

We study asymptotic behaviour of positive ground state solutions of the nonlinear Schrödinger equation $$-\Delta u+u=u^{2^{\ast }-1}+\lambda u^{q-1}\mathrm{in}{\mathbb{R}}^N,$$ where $N\ge…