This work is devoted to study the limit behavior of weak solutions of an elliptic problem with variable exponent, in a containing structure, of an oscillating nanolayer of thickness and periodicity parameter depending on . The generalized Sobolev space is constructed, and the epiconvergence method is considered to find the limit problem with interface conditions.

中文翻译：

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纳米结构中变指数边值问题的弱可解性

这项工作致力于研究具有可变指数的椭圆问题的弱解的极限行为，在包含结构中，厚度和周期性参数取决于 的振荡纳米层。构造广义Sobolev空间，考虑采用外收敛法求解具有界面条件的极限问题。