On the behavior of solutions to Schr\"odinger equations with dipole-type potentials near the singularity
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equationspotentialssolutionsbehaviordipole-typenearsingularityangular
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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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