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Standing waves for nonlinear Schrödinger equations with singular potentials |
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| Authors: | Jaeyoung Byeon Zhi-Qiang Wang |
| Affiliation: | 1. Department of Mathematics, POSTECH, San 31 Hyoja-dong, Nam-gu, Pohang, Kyungbuk 790-784, Republic of Korea;2. Department of Mathematics and Statistics, Utah State University, Logan, UT 84322, USA |
| Abstract: | We study semiclassical states of nonlinear Schrödinger equations with anisotropic type potentials which may exhibit a combination of vanishing and singularity while allowing decays and unboundedness at infinity. We give existence of spike type standing waves concentrating at the singularities of the potentials. |
| Keywords: | Nonlinear Schrö dinger equations Singularities of potentials Decaying and unbounded potentials |
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