A quasi-linear Schr{ö}dinger equation for nucleons : existence, uniqueness and asymptotic behavior

Abstract

We study a quasi-linear Schr{ö}dinger-type equation arising in the description of particle dynamics within atomic nuclei. Under suitable assumptions on the model parameters, we establish the existence, uniqueness, and non-degeneracy of positive radial solutions. Moreover, we analyze how these solutions depend on the parameters.