Asymptotics of solutions to Schrodinger 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.
Felli, V., Marchini, E., Terracini, S. (2008). On the behavior of solutions to Schrödinger equations with dipole-type potentials near the singularity. DISCRETE AND CONTINUOUS DYNAMICAL SYSTEMS, 21, 91-119 [10.3934/dcds.2008.21.91].
On the behavior of solutions to Schrödinger equations with dipole-type potentials near the singularity
FELLI, VERONICA;TERRACINI, SUSANNA
2008
Abstract
Asymptotics of solutions to Schrodinger 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.
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