# Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential

Veronica Felli; Alberto Ferrero; Susanna Terracini

Journal of the European Mathematical Society (2011)

- Volume: 013, Issue: 1, page 119-174
- ISSN: 1435-9855

## Access Full Article

top## Abstract

top## How to cite

topFelli, Veronica, Ferrero, Alberto, and Terracini, Susanna. "Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential." Journal of the European Mathematical Society 013.1 (2011): 119-174. <http://eudml.org/doc/277411>.

@article{Felli2011,

abstract = {Asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis–Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order −1.},

author = {Felli, Veronica, Ferrero, Alberto, Terracini, Susanna},

journal = {Journal of the European Mathematical Society},

keywords = {singular electromagnetic potentials; Hardy’s inequality; Schrödinger operators; singular electromagnetic potentials; Hardy's inequality; Schrödinger operators},

language = {eng},

number = {1},

pages = {119-174},

publisher = {European Mathematical Society Publishing House},

title = {Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential},

url = {http://eudml.org/doc/277411},

volume = {013},

year = {2011},

}

TY - JOUR

AU - Felli, Veronica

AU - Ferrero, Alberto

AU - Terracini, Susanna

TI - Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential

JO - Journal of the European Mathematical Society

PY - 2011

PB - European Mathematical Society Publishing House

VL - 013

IS - 1

SP - 119

EP - 174

AB - Asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis–Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order −1.

LA - eng

KW - singular electromagnetic potentials; Hardy’s inequality; Schrödinger operators; singular electromagnetic potentials; Hardy's inequality; Schrödinger operators

UR - http://eudml.org/doc/277411

ER -

## NotesEmbed ?

topTo embed these notes on your page include the following JavaScript code on your page where you want the notes to appear.