Semiclassical states for nonlinear Schrödinger equations with sign-changing potentials
نویسندگان
چکیده
منابع مشابه
Spherical semiclassical states of a critical frequency for Schrödinger equations with decaying potentials
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 differ...
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ژورنال
عنوان ژورنال: Journal of Functional Analysis
سال: 2007
ISSN: 0022-1236
DOI: 10.1016/j.jfa.2007.07.005