The Euler-Lagrange Equation for the Anisopropic Least Gradient Problem

来源 :第八届工业与应用数学国际大会 | 被引量 : 0次 | 上传用户：unian1981

【摘要】

：

　　We find the Euler–Lagrange equation for the anisotropic least gradient problem inf {∫Ωφ(x,Du)∶ u ∈ BV(Ω),u|(e)Ω = f } being φ a metric integrand an

【作者】

：

Mazon Jose

【机构】

：

UniversitatdeValencia

【出处】

：

第八届工业与应用数学国际大会

【发表日期】

：

2015年8期

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　　We find the Euler–Lagrange equation for the anisotropic least gradient problem inf {∫Ωφ(x,Du)∶ u ∈ BV(Ω),u|(e)Ω = f } being φ a metric integrand and f ∈ L1((e)Ω).We also characterize the functions of φ-least gradient as those whose boundary of the level set are φ-area minimizing in Ω.

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The Euler-Lagrange Equation for the Anisopropic Least Gradient Problem

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