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arXiv:math/0701292 [math.AP]AbstractReferencesReviewsResources

On the behavior of solutions to Schrödinger equations with dipole-type potentials near the singularity

Veronica Felli, Elsa M. Marchini, Susanna Terracini

Published 2007-01-10, updated 2007-07-18Version 2

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.

Categories: math.AP, math.FA
Subjects: 35J10, 35B40, 35J60
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