Abstract A minimum problem for a class of functionals defined in Orlicz-Sobolev spaces is studied. As application, the existence and uniqueness of the weak solutions to Dirichlet problems for the Hencky deformation operator are obtained.

中文翻译：

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Hencky 塑性变形理论中狄利克雷问题的弱解

摘要 研究了Orlicz-Sobolev空间中定义的一类泛函的极小问题。作为应用，得到了Hencky变形算子Dirichlet问题弱解的存在唯一性。