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

Yongshuai Gao; Yujin Guo; Shuang Wu

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arXiv · 2112.00009

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

Yongshuai Gao·Yujin Guo·Shuang Wu

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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.

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Yongshuai Gao, Yujin Guo, Shuang Wu. 2021-11-30. Minimizers of $L^2$-Subcritical Inhomogeneous Variational Problems with A Spatially Decaying Nonlinearity. https://arxiv.org/abs/2112.00009

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