Scholarlink

<p>We prove an optimal Hardy-Sobolev inequality with a remainder term in the upper half-space. After that, we obtain embedding of a Sobolev type space into weighted Lebesgue spaces. We also prove some Trudinger-Moser type inequalities. These abstract findings can be employed to deduce solutions for elliptic equations with Neumann boundary conditions and zero mass.</p>

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

On a Hardy-Sobolev Inequality with Remainder Term and its Consequences

  • 期刊论文

  • 发表日期：

    2025年10月17日

查看全文
  • E. A. M. Abreu,
  • M. F. Furtado,
  • E. S. Medeiros

摘要

We prove an optimal Hardy-Sobolev inequality with a remainder term in the upper half-space. After that, we obtain embedding of a Sobolev type space into weighted Lebesgue spaces. We also prove some Trudinger-Moser type inequalities. These abstract findings can be employed to deduce solutions for elliptic equations with Neumann boundary conditions and zero mass.