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

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  • Asymptotics of solutions to Schrödinger equations with singular dipole-type potentials are 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.
    Mathematics Subject Classification: Primary: 35J10, 35B40; Secondary: 35J60.

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