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

Veronica Felli·Elsa M. Marchini·Susanna Terracini
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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.

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Veronica Felli, Elsa M. Marchini, Susanna Terracini. 2007-07-18. On the behavior of solutions to Schrödinger equations with dipole-type potentials near the singularity. https://arxiv.org/abs/math/0701292

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