In this paper we mainly prove the existence and uniqueness of entropy solutions and the uniqueness of renormalized solutions to the general nonlinear elliptic equations in Musielak-Orlicz spaces. Moreover, we also obtain the equivalence of entropy solutions and renormalized solutions in the present conditions.

中文翻译：

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Musielak-Orlicz空间中一般非线性椭圆方程的熵和重归一化解

在本文中，我们主要证明了Musielak-Orlicz空间中一般非线性椭圆型方程的熵解的存在性和唯一性，以及重新归一化解的唯一性。此外，在当前条件下，我们还获得了熵解和重新归一化解的等价性。