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Entropy and renormalized solutions to the general nonlinear elliptic equations in Musielak–Orlicz spaces
Nonlinear Analysis: Real World Applications ( IF 1.8 ) Pub Date : 2021-04-05 , DOI: 10.1016/j.nonrwa.2021.103330
Ying Li , Fengping Yao , Shulin Zhou

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:

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。

更新日期:2021-04-05
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