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<p>In this paper, we study the local behavior of positive solutions near the boundary singularity to the fourth order Lane–Emden equations. By a blow-up analysis and the Liouville theorem, we derive an upper bound and the boundary Harnack inequality. Then we establish a generalized Bôcher theorem and give a classification of the boundary isolated singularity.</p>

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Isolated boundary singularities for the fourth order subcritical Lane–Emden equations

  • 期刊论文

  • 发表日期：

    2025年1月9日

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  • Jiguang Bao,
  • Yimei Li,
  • Zixiao Liu

摘要

In this paper, we study the local behavior of positive solutions near the boundary singularity to the fourth order Lane–Emden equations. By a blow-up analysis and the Liouville theorem, we derive an upper bound and the boundary Harnack inequality. Then we establish a generalized Bôcher theorem and give a classification of the boundary isolated singularity.