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

Veronica Felli, Alberto Ferrero, Susanna Terracini

Risultato della ricerca: Contributo su rivistaArticolo in rivistapeer review

Abstract

Asymptotics of solutions to Schrödinger 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.

Lingua originaleInglese
pagine (da-a)119-174
Numero di pagine56
RivistaJournal of the European Mathematical Society
Volume13
Numero di pubblicazione1
DOI
Stato di pubblicazionePubblicato - 2011
Pubblicato esternamente

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