作者:吕月明，刘洋

Authors:LU Yue-ming,LIU Yang
摘要:摘要:为了研究一类具有变指数的拟线性椭圆型方程的熵解问题，在算子条件弱化后的情况下，先建立了椭圆型方程的逼近问题，然后运用Sobolev嵌入定理、Vitali定理等工具，得到了椭圆型方程熵解的存在性结果。

Abstract:Abstract:In order to study the entropy solution of a class of quasilinear elliptic equations with variable exponents, first, the approximation problem of elliptic equations is established under weak operator conditions, and then the Sobolev embedding theorem, Vitali theorem and other tools are applied. The results of the existence of entropy solutions of elliptic equations are given.

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