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<p>In this short note we show an equivalence between Sobolev type inequalities and so called isocapacitary inequalities in the context of a large class of nonlinear Dirichlet forms, their associated Dirichlet spaces and their associated capacities.</p>

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Sobolev inequalities for nonlinear Dirichlet forms

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2026年2月23日

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  • Ralph Chill,
  • Burkhard Claus

摘要

In this short note we show an equivalence between Sobolev type inequalities and so called isocapacitary inequalities in the context of a large class of nonlinear Dirichlet forms, their associated Dirichlet spaces and their associated capacities.