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<p>I review recent contributions on nonlinear Dirichlet forms. Then, I specialise to the case of <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(2-\)</EquationSource> <EquationSource Format="MATHML"><math> <mrow> <mn>2</mn> <mo>-</mo> </mrow> </math></EquationSource> </InlineEquation>homogeneous and local forms. Inspired by the theory of Finsler manifolds and metric measure spaces, I establish new properties of such nonlinear Dirichlet forms, which are reminiscent of differential calculus formulae.</p>

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Nonlinear Dirichlet Forms, Energy Spaces, and Calculus Rules

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  • 出版模式：

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  • 发表日期：

    2026年4月29日

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  • Giovanni Brigati

摘要

I review recent contributions on nonlinear Dirichlet forms. Then, I specialise to the case of \(2-\) 2 - homogeneous and local forms. Inspired by the theory of Finsler manifolds and metric measure spaces, I establish new properties of such nonlinear Dirichlet forms, which are reminiscent of differential calculus formulae.