Abstract In this paper, we prove the existence and regularity of solutions of the homogeneous Dirichlet initial-boundary value problem for a class of degenerate elliptic equations with lower order terms. The results we obtained here, extend some existing ones of [2, 9, 11] in some sense.

中文翻译：

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具有低阶项的非线性退化椭圆方程的存在性结果

摘要 本文证明了一类低阶项退化椭圆方程齐次Dirichlet初边值问题解的存在性和正则性。我们在这里获得的结果在某种意义上扩展了 [2, 9, 11] 的一些现有结果。