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<p>We provide integral representation, <InlineEquation ID="IEq1"> <EquationSource Format="TEX">\(\Gamma \)</EquationSource> <EquationSource Format="MATHML"><math> <mi mathvariant="normal">Γ</mi> </math></EquationSource> </InlineEquation>-compactness and relaxation results for anisotropic local functionals depending on arbitrary Lipschitz continuous vector fields. In particular, neither bracket-generating assumptions nor linear independence conditions are required.</p>

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Variational properties of local functionals driven by arbitrary anisotropies

  • 期刊论文

  • 出版模式：

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  • 发表日期：

    2025年11月11日

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  • Simone Verzellesi

摘要

We provide integral representation, \(\Gamma \) Γ -compactness and relaxation results for anisotropic local functionals depending on arbitrary Lipschitz continuous vector fields. In particular, neither bracket-generating assumptions nor linear independence conditions are required.