JournalsjemsVol. 13, No. 1pp. 119–174

Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential

  • Veronica Felli

    Università degli Studi di Milano-Bicocca, Italy
  • Susanna Terracini

    Università di Torino, Italy
  • Alberto Ferrero

    Università degli Studi di Milano-Bicocca, Italy
Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential cover
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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