JournalsrmiVol. 7, No. 1pp. 65–114

Local Properties of Stationary Solutions of some Nonlinear Singular Schr6dinger Equations

  • Bouchaib Guerch

    Université François Rabelais, Tours, France
  • Laurent Véron

    Université François Rabelais, Tours, France
Local Properties of Stationary Solutions of some Nonlinear Singular Schr6dinger Equations cover
Download PDF

Abstract

We study the local behaviour of solutions of the following type of equation ΔuV(x)u+g(u)=0–\Delta u – V(x)u + g(u) = 0 when VV is singular at some points and gg is a non-decreasing function. Emphasis is put on the case when V(x)=clxl2V(x) = clxl^{–2} and gg has a power-like growth.

Cite this article

Bouchaib Guerch, Laurent Véron, Local Properties of Stationary Solutions of some Nonlinear Singular Schr6dinger Equations. Rev. Mat. Iberoam. 7 (1991), no. 1, pp. 65–114

DOI 10.4171/RMI/106