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). Monotonicity methods for asymptotics of solutions to Schrödinger equations near isolated singularities of the electromagnetic potential. Intervento presentato a: Lack of Compactness in Nonlinear Problems: Prospects and Applications, CIRM, Luminy.
Citazione: | Felli, V. (2009). Monotonicity methods for asymptotics of solutions to Schrödinger equations near isolated singularities of the electromagnetic potential. Intervento presentato a: Lack of Compactness in Nonlinear Problems: Prospects and Applications, CIRM, Luminy. | |
Tipo: | slide | |
Carattere della pubblicazione: | Scientifica | |
Titolo: | Monotonicity methods for asymptotics of solutions to Schrödinger equations near isolated singularities of the electromagnetic potential | |
Autori: | Felli, V | |
Autori: | ||
Data di pubblicazione: | 2009 | |
Lingua: | English | |
Nome del convegno: | Lack of Compactness in Nonlinear Problems: Prospects and Applications | |
Appare nelle tipologie: | 02 - Intervento a convegno |
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