We will present the results obtained in collaboration with Alberto Ferrero and Susanna Terracini about the asymptotics of solutions to Schrödinger equations with singular magnetic and electric potentials. 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.
Felli, V. (2009). On the behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential. Intervento presentato a: European Conference on Elliptic and Parabolic Problems, Gaeta.
Citazione: | Felli, V. (2009). On the behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential. Intervento presentato a: European Conference on Elliptic and Parabolic Problems, Gaeta. |
Tipo: | slide |
Carattere della pubblicazione: | Scientifica |
Titolo: | On the behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential |
Autori: | Felli, V |
Autori: | |
Data di pubblicazione: | 2009 |
Lingua: | English |
Nome del convegno: | European Conference on Elliptic and Parabolic Problems |
Appare nelle tipologie: | 02 - Intervento a convegno |
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