Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
Veronica Felli
Università degli Studi di Milano-Bicocca, ItalySusanna Terracini
Università di Torino, ItalyAlberto Ferrero
Università degli Studi di Milano-Bicocca, Italy

Abstract
Asymptotics of solutions to Schrödinger 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.
Cite this article
Veronica Felli, Susanna Terracini, Alberto Ferrero, Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential. J. Eur. Math. Soc. 13 (2011), no. 1, pp. 119–174
DOI 10.4171/JEMS/246