On Asymptotic Behavior of Solutions to Schrödinger Equations with Singular Dipole–type Potentials

نویسنده

  • VERONICA FELLI
چکیده

Asymptotics of solutions to Schrödinger 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. Dedicated to Prof. Norman Dancer on the occasion of his 60th birthday.

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تاریخ انتشار 2007