Some properties of Γ-limits of integral functionals
Some properties of Γ-limits of integral functionals
复制标题
积分泛函 Γ 极限的一些性质
DOI：
10.1007/bf02411687
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发表时间：
1979
影响因子：
1
通讯作者：
C. Sbordone
中科院分区：
文献类型：
--
作者：
L. Carbone;C. Sbordone
本文证明了下列形式的序列在L1中的Γ极限的一些积分表示定理
$$\int\Limits_\Omega{f_h(x，du)}$$
Dx和有界生长假说是最优的，并用实例进行了验证。这些结果被用来描述给定泛函的L1下半连续包络。我们还考虑了Γ极限关于障碍型摄动的稳定性，并证明了在更一般的条件下的齐次化公式。
SummaryWe prove some integral representation theorems for the Γ limit in L1 of sequences of the form
$$\int\limits_\Omega {f_h (x,Du)}$$
dx in coercivity and bounded growth hypothesis which are optimal as it is checked with examples. These results are utilized to describe the L1 lower semicontinuous envelope of a given functional. We consider also the stability of Γ limits with respect to obstacle type perturbations and prove the homogenization formulas in conditions more generals of those already considered by several authors.