# Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials

Jaeyoung Byeon; Zhi-Qiang Wang

Journal of the European Mathematical Society (2006)

- Volume: 008, Issue: 2, page 217-228
- ISSN: 1435-9855

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topByeon, Jaeyoung, and Wang, Zhi-Qiang. "Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials." Journal of the European Mathematical Society 008.2 (2006): 217-228. <http://eudml.org/doc/277318>.

@article{Byeon2006,

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].},

author = {Byeon, Jaeyoung, Wang, Zhi-Qiang},

journal = {Journal of the European Mathematical Society},

keywords = {nonlinear Schrödinger equations; critical frequency; concentrations on spheres; nonlinear Schrödinger equations; critical frequency; concentrations on spheres},

language = {eng},

number = {2},

pages = {217-228},

publisher = {European Mathematical Society Publishing House},

title = {Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials},

url = {http://eudml.org/doc/277318},

volume = {008},

year = {2006},

}

TY - JOUR

AU - Byeon, Jaeyoung

AU - Wang, Zhi-Qiang

TI - Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials

JO - Journal of the European Mathematical Society

PY - 2006

PB - European Mathematical Society Publishing House

VL - 008

IS - 2

SP - 217

EP - 228

AB - 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].

LA - eng

KW - nonlinear Schrödinger equations; critical frequency; concentrations on spheres; nonlinear Schrödinger equations; critical frequency; concentrations on spheres

UR - http://eudml.org/doc/277318

ER -

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