We study the local behaviour of solutions of the following type of equation when is singular at some points and is a non-decreasing function. Emphasis is put on the case when and has a power-like growth.
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Bouchaib Guerch, Laurent Véron, Local Properties of Stationary Solutions of some Nonlinear Singular Schr6dinger Equations. Rev. Mat. Iberoam. 7 (1991), no. 1, pp. 65–114DOI 10.4171/RMI/106