Scholarlink

<p>In this paper, the Gauss surface area measure of unbounded closed convex sets in a pointed closed convex cone in <InlineEquation ID="IEq1"> <InlineMediaObject> <ImageObject Color="BlackWhite" FileRef="11117_2025_1127_Article_IEq1.gif" Format="GIF" Height="14" Rendition="HTML" Resolution="72" Type="Linedraw" Width="20" /> </InlineMediaObject> <EquationSource Format="TEX">\({\mathbb {R}}^n\)</EquationSource> <EquationSource Format="MATHML"><math> <msup> <mrow> <mi mathvariant="double-struck">R</mi> </mrow> <mi>n</mi> </msup> </math></EquationSource> </InlineEquation> with nonempty interior is developed and the related Gauss Minkowski problem is proposed. Within the family of <i>C</i>-determined sets, the existence of solution to Gauss Minkowski problem is obtained.</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

The Gauss Minkowski problem for unbounded closed convex sets

  • 期刊论文

  • 发表日期：

    2025年5月10日

查看全文
  • Bin Chen,
  • Wei Shi

摘要

In this paper, the Gauss surface area measure of unbounded closed convex sets in a pointed closed convex cone in \({\mathbb {R}}^n\) R n with nonempty interior is developed and the related Gauss Minkowski problem is proposed. Within the family of C-determined sets, the existence of solution to Gauss Minkowski problem is obtained.