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

Bouchaib Guerch; Laurent Véron

Revista Matemática Iberoamericana (1991)

- Volume: 7, Issue: 1, page 65-114
- ISSN: 0213-2230

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topGuerch, 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 -

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