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.
| Original language | English |
|---|---|
| Pages (from-to) | 119-174 |
| Number of pages | 56 |
| Journal | Journal of the European Mathematical Society |
| Volume | 13 |
| Issue number | 1 |
| DOIs | |
| Publication status | Published - 2011 |
| Externally published | Yes |
Keywords
- Hardy's inequality
- Schrödinger operators
- Singular electromagnetic potentials
Fingerprint
Dive into the research topics of 'Asymptotic behavior of solutions to Schrödinger equations near an isolated singularity of the electromagnetic potential'. Together they form a unique fingerprint.Cite this
- APA
- Author
- BIBTEX
- Harvard
- Standard
- RIS
- Vancouver