In this paper, we prove the existence of a nonnegative solution to nonlinear parabolic problems with two absorption terms and a singular lower order term. More precisely, we analyze the interaction between the two absorption terms and the singular term to get a solution for the largest possible class of the data. Also, the regularizing effect of absorption terms on the regularity of the solution of the problem and its gradient is analyzed.

中文翻译：

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一些具有吸收项的非线性奇异抛物线问题的存在性和正则性结果

在本文中，我们证明了具有两个吸收项和一个奇异低阶项的非线性抛物型问题的非负解的存在性。更准确地说，我们分析两个吸收项和奇异项之间的相互作用，以获得最大可能的数据类别的解决方案。还分析了吸收项对问题解的正则性及其梯度的影响。