论文标题
可变指数Sobolev空间的非本地表征
Nonlocal characterizations of variable exponent Sobolev spaces
论文作者
论文摘要
我们为一类可变指数的Sobolev空间获得了一些非局部特征,这些空间在非线性弹性理论和电子流体理论中产生。我们还获得了一个奇异的极限公式,将Nguyen结果扩展到各向异性情况。
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.