Spherical semiclassical states of a critical frequency for Schrodinger equations with decaying potentials
SCIE
SCOPUS
- Title
- Spherical semiclassical states of a critical frequency for Schrodinger equations with decaying potentials
- Authors
- Byeon, J; Wang, ZQ
- Date Issued
- 2006-01
- Publisher
- EUROPEAN MATHEMATICAL SOC
- Abstract
- For singularly perturbed Schrodinger 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].
- Keywords
- nonlinear Schrodinger equations; critical frequency; concentration on spheres; ELLIPTIC-EQUATIONS; STANDING WAVES; EXISTENCE
- URI
- https://oasis.postech.ac.kr/handle/2014.oak/29557
- DOI
- 10.4171/JEMS/48
- ISSN
- 1435-9855
- Article Type
- Article
- Citation
- JOURNAL OF THE EUROPEAN MATHEMATICAL SOCIETY, vol. 8, no. 2, page. 217 - 228, 2006-01
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