On the behavior of solutions to Schr\"odinger equations with dipole-type potentials near the singularity
Analysis of PDEs
2007-07-18 v2 Functional Analysis
Abstract
Asymptotics of solutions to Schroedinger equations with singular dipole-type potentials is investigated. We evaluate the exact behavior near the singularity of solutions to elliptic equations with potentials which are purely angular multiples of radial inverse-square functions. Both the linear and the semilinear (critical and subcritical) cases are considered.
Keywords
Cite
@article{arxiv.math/0701292,
title = {On the behavior of solutions to Schr\"odinger equations with dipole-type potentials near the singularity},
author = {Veronica Felli and Elsa M. Marchini and Susanna Terracini},
journal= {arXiv preprint arXiv:math/0701292},
year = {2007}
}