Local properties of stationary solutions of some nonlinear singular Schrödinger equations.

Guerch, Bouchaib, and Véron, Laurent. "Local properties of stationary solutions of some nonlinear singular Schrödinger equations.." Revista Matemática Iberoamericana 7.1 (1991): 65-114. <http://eudml.org/doc/39405>.

@article{Guerch1991,
abstract = {We study the local behaviour of solutions of the following type of equation,-Δu - V(x)u + g(u) = 0 when V is singular at some points and g is a non-decreasing function. Emphasis is put on the case when V(x) = c|x|-2 and g has a power-like growth.},
author = {Guerch, Bouchaib, Véron, Laurent},
journal = {Revista Matemática Iberoamericana},
keywords = {Ecuación de Schrödinger; Ecuaciones no lineales; Estacionario; Singularidades; Soluciones; Localización; time-independent, -dimensional, nonlinear Schrödinger equation; isolated singularity},
language = {eng},
number = {1},
pages = {65-114},
title = {Local properties of stationary solutions of some nonlinear singular Schrödinger equations.},
url = {http://eudml.org/doc/39405},
volume = {7},
year = {1991},
}

TY - JOUR
AU - Guerch, Bouchaib
AU - Véron, Laurent
TI - Local properties of stationary solutions of some nonlinear singular Schrödinger equations.
JO - Revista Matemática Iberoamericana
PY - 1991
VL - 7
IS - 1
SP - 65
EP - 114
AB - We study the local behaviour of solutions of the following type of equation,-Δu - V(x)u + g(u) = 0 when V is singular at some points and g is a non-decreasing function. Emphasis is put on the case when V(x) = c|x|-2 and g has a power-like growth.
LA - eng
KW - Ecuación de Schrödinger; Ecuaciones no lineales; Estacionario; Singularidades; Soluciones; Localización; time-independent, -dimensional, nonlinear Schrödinger equation; isolated singularity
UR - http://eudml.org/doc/39405
ER -