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

Felli, 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 -