Tartar conjecture and Beltrami operators
Tartar conjecture and Beltrami operators
复制标题
鞑靼猜想和贝尔特拉米算子
DOI：
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发表时间：
2004
期刊：
影响因子：
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通讯作者：
Daniel Faraco Hurtado
中科院分区：
文献类型：
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作者：
Daniel Faraco Hurtado
Sobolev函数梯度序列振动性的研究是变分法和非线性偏微分方程的一个中心课题。在本文中，我们研究了2 × 2矩阵M2×2空间的哪些子集“禁止”接近它们的梯度序列的振荡。精确地说：设E是M2×2的子集，且1 ≤ p ≤ ∞。在L（1.1）中使得distE（Dfj）→ 0的每个序列{fj}的意义下，集合是稳定的吗？
The study of the oscillation of sequences of gradients of Sobolev functions is a central topic in the calculus of variations and nonlinear partial differential equations. In this note we examine which subsets of the space of 2 × 2 matrices M2×2 “forbid” the oscillation of sequences of gradients approaching them. In precise words: Let E be a subset of M2×2 and let 1 ≤ p ≤ ∞. Is the set stable in the sense that every sequence {fj} such that distE(Dfj ) → 0 in L (1.1)