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

Abstract

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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].

How to cite

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Byeon, 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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