Scholarlink

<p>We investigate existence and uniqueness of maximal plurisubharmonic functions on bounded domains with boundary data that are not assumed to be continuous or bounded. The result is applied to approximate (possibly unbounded from above) plurisubharmonic functions by continuous quasi upper bounded ones. A key step in our approach is to explore continuity of the Perron-Bremermann envelope of plurisubharmonic functions that are dominated by a given function <InlineEquation ID="IEq3"> <EquationSource Format="TEX">\(\phi \)</EquationSource> <EquationSource Format="MATHML"><math> <mi>ϕ</mi> </math></EquationSource> </InlineEquation> defined on the closure of the domain.</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

Dirichlet Problem for Plurisubharmonic Functions on Bounded Quasi B-regular Domains in \(\mathbb {C}^n\)

  • 期刊论文

  • 发表日期：

    2026年3月31日

查看全文
  • Nguyen Quang Dieu,
  • Tang Van Long,
  • Tran Duc Hieu

摘要

We investigate existence and uniqueness of maximal plurisubharmonic functions on bounded domains with boundary data that are not assumed to be continuous or bounded. The result is applied to approximate (possibly unbounded from above) plurisubharmonic functions by continuous quasi upper bounded ones. A key step in our approach is to explore continuity of the Perron-Bremermann envelope of plurisubharmonic functions that are dominated by a given function \(\phi \) ϕ defined on the closure of the domain.