A priori estimates for semilinear higher order elliptic equations usually have to deal with the absence of a maximum principle. This note presents some regularity estimates for the polyharmonic Dirichlet problem that will make a distinction between the influence on the solution of the positive and the negative part of the right-hand side.

中文翻译：

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注意多调和Dirichlet问题的符号相关正则性

半线性高阶椭圆型方程的先验估计通常必须处理最大原理的缺失。该注释提供了对多谐Dirichlet问题的一些规律性估计，这些估计将区分对右侧正负部分解的影响。