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<p>We consider a doubly-weighted Sobolev space formed by functions on a domain with Lipschitz boundary. In this context, we define a trace operator and a generalized normal derivative, and we extend the classical Green formula to the present setting.</p>

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GENERALIZED GREEN FORMULA FOR WEIGHTED SOBOLEV SPACES

  • 期刊论文

  • 发表日期：

    2026年3月11日

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  • L. Fresse,
  • V. V. Motreanu

摘要

We consider a doubly-weighted Sobolev space formed by functions on a domain with Lipschitz boundary. In this context, we define a trace operator and a generalized normal derivative, and we extend the classical Green formula to the present setting.