Semi-classical states for logarithmic Schrödinger equations

Norihisa Ikoma, Kazunaga Tanaka, Zhi Qiang Wang, Chengxiang Zhang

研究成果: Article査読

抄録

In this paper, we investigate semi-classical bound states for logarithmic Schrödinger type equations with a potential function which has a finite number of singularities of at most logarithmic strength. We construct localized solutions concentrating at a logarithmic type singular point of the potential, and we also characterize the asymptotic limiting profile of the localized solutions. To accomplish these, we develop new penalization techniques for treating the difficulties associated with the non-smoothness of the variational formulation and the singularity of the potentials.

本文言語English
ページ(範囲)1900-1942
ページ数43
ジャーナルNonlinearity
34
4
DOI
出版ステータスPublished - 2021 4

ASJC Scopus subject areas

  • 統計物理学および非線形物理学
  • 数理物理学
  • 物理学および天文学(全般)
  • 応用数学

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