Back to Search
Start Over
Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials.
- Source :
-
Journal of the European Mathematical Society (EMS Publishing) . Apr2006, Vol. 8 Issue 2, p217-228. 12p. - Publication Year :
- 2006
-
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]. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 14359855
- Volume :
- 8
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Journal of the European Mathematical Society (EMS Publishing)
- Publication Type :
- Academic Journal
- Accession number :
- 21592742
- Full Text :
- https://doi.org/10.4171/jems/48