Nondegeneracy of nonradial sign-changing solutions to the nonlinear Schrödinger equations

Weiwei Ao, Monica Musso, Juncheng Wei

We prove that the non-radial sign-changing solutions to the nonlinear Schrödinger equation \begin{equation*} Δu-u+|u|^{p-1}u=0 \mbox{ in }\R^N, \quad u \in H^1 (\R^N ) \end{equatio…