Minimizers of $L^2$-Subcritical Inhomogeneous Variational Problems with A Spatially Decaying Nonlinearity

Yongshuai Gao; Yujin Guo; Shuang Wu

Minimizers of $L^2$-Subcritical Inhomogeneous Variational Problems with A Spatially Decaying Nonlinearity

Analysis of PDEs 2021-12-02 v1 Functional Analysis

Authors: Yongshuai Gao , Yujin Guo , Shuang Wu

Abstract

We study the minimizers of $L^2$ -subcritical inhomogeneous variational problems with spatially decaying nonlinear terms, which contain $x = 0$ as a singular point. The limit concentration behavior of minimizers is proved as $M\to\infty$ by establishing the refined analysis of the spatially decaying nonlinear term.

Keywords

minimizers l2-subcritical inhomogeneous variational problems spatially decaying nonlinearity limit concentration singular point

Cite

@article{arxiv.2112.00009,
  title  = {Minimizers of $L^2$-Subcritical Inhomogeneous Variational Problems with A Spatially Decaying Nonlinearity},
  author = {Yongshuai Gao and Yujin Guo and Shuang Wu},
  journal= {arXiv preprint arXiv:2112.00009},
  year   = {2021}
}

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18 pages

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