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<p>In this paper, we demonstrate the existence, uniqueness and non-existence of the general Orlicz Minkowski problem involving <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(p=0\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mi>p</mi> <mo>=</mo> <mn>0</mn> </mrow> </math></EquationSource> </InlineEquation> for a class of Orlicz functions. The results are based on variational arguments.</p>

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On the general Orlicz-logarithmic Minkowski problems in the plane

  • 期刊论文

  • 发表日期：

    2026年6月29日

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  • Tan Yuxin,
  • Sun Yijing,
  • Tang Lu

摘要

In this paper, we demonstrate the existence, uniqueness and non-existence of the general Orlicz Minkowski problem involving \(p=0\) p = 0 for a class of Orlicz functions. The results are based on variational arguments.