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

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

2007-01-10

arxiv.org/abs/math/0701292v2

Mathematics

Analysis of PDEs

Scientific paper

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.

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