arXiv:0809.5002 [math.AP]AbstractReferencesReviewsResources
Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
Veronica Felli, Alberto Ferrero, Susanna Terracini
Published 2008-09-29, updated 2011-07-13Version 3
Asymptotics of solutions to Schroedinger equations with singular magnetic and electric potentials is investigated. By using a Almgren type monotonicity formula, separation of variables, and an iterative Brezis-Kato type procedure, we describe the exact behavior near the singularity of solutions to linear and semilinear (critical and subcritical) elliptic equations with an inverse square electric potential and a singular magnetic potential with a homogeneity of order -1.
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