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 originale | Inglese |
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pagine (da-a) | 119-174 |
Numero di pagine | 56 |
Rivista | Journal of the European Mathematical Society |
Volume | 13 |
Numero di pubblicazione | 1 |
DOI | |
Stato di pubblicazione | Pubblicato - 2011 |
Pubblicato esternamente | Sì |