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

• Autores: Jaeyoung Byeon, Zhi-Qiang Wang
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 8, Nº 2, 2006, págs. 217-228
• Idioma: inglés
• DOI: 10.4171/jems/48
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• Resumen

  • 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].