Asymptotics of solutions to Schrodinger equations with singular magnetic and electric potentials is investigated. By using an 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 homogeneity of order -1.
Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential
FERRERO, ALBERTO;
2011-01-01
Abstract
Asymptotics of solutions to Schrodinger equations with singular magnetic and electric potentials is investigated. By using an 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 homogeneity of order -1.File in questo prodotto:
| File | Dimensione | Formato | |
|---|---|---|---|
|
Felli-Ferrero-Terracini-Magnetic.pdf
file disponibile solo agli amministratori
Descrizione: Articolo principale
Tipologia:
Documento in Pre-print
Licenza:
DRM non definito
Dimensione
564.05 kB
Formato
Adobe PDF
|
564.05 kB | Adobe PDF | Visualizza/Apri Richiedi una copia |
I documenti in IRIS sono protetti da copyright e tutti i diritti sono riservati, salvo diversa indicazione.
