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- Title
Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials.
- Authors
Jaeyoung Byeon; Zhi-Qiang Wang
- Abstract
For singularly perturbed Schrödinger equations with decaying potentials at infinity we construct semiclassical states of a critical frequency concentrating on spheres near zeroes of the potentials. The results generalize some recent work of Ambrosetti-Malchiodi-Ni [3] which gives solutions concentrating on spheres where the potential is positive. The solutions we obtain exhibit different behaviors from the ones given in [3].
- Subjects
ELLIPTIC functions; SCHRODINGER equation; PARTIAL differential equations; MATHEMATICAL models; SIMULATION methods &; models; SYMMETRIC matrices
- Publication
Journal of the European Mathematical Society (EMS Publishing), 2006, Vol 8, Issue 2, p217
- ISSN
1435-9855
- Publication type
Article
- DOI
10.4171/jems/48