We obtain some nonlocal characterizations for a class of variable exponent Sobolev spaces arising in nonlinear elasticity theory and in the theory of electrorheological fluids. We also get a singular limit formula extending Nguyen results to the anisotropic case.

中文翻译：

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可变指数Sobolev空间的非局部刻画

我们获得了在非线性弹性理论和电流变流体理论中产生的一类变量指数Sobolev空间的非局部特征。我们还获得了将Nguyen结果扩展到各向异性情况的奇异极限公式。