In this paper we study the existence and regularity of solutions to the following Dirichlet problem        −div(a(x)|∇u| p−2 ∇u) + u|u| r−1 = f (x) u θ in Ω, u > 0 in Ω, u = 0 on ∂Ω proving that the lower order term u|u| r−1 has some regularizing effects on the solutions. Mathematics Subject Classification (2010). 35J66, 35J75

中文翻译：

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具有奇异非线性的狄利克雷问题中低阶项的影响

在本文中，我们研究了以下狄利克雷问题的解的存在性和规律性        −div(a(x)|∇u| p−2 ∇u) + u|u| r−1 = f (x) u θ in Ω, u > 0 in Ω, u = 0 on ∂Ω 证明低阶项 u|u| r−1 对解有一些正则化效应。数学学科分类（2010）。35J66、35J75