论文标题

关于多谐迪里奇问题的签名规律性的注意

Note on a sign-dependent regularity for the polyharmonic Dirichlet problem

论文作者

Schnieders, Inka, Sweers, Guido

论文摘要

半月级高阶椭圆方程的先验估计通常必须处理最大原理。本说明给出了对多谐调的迪里奇问题问题的一些规律性估计,这将在右侧正面和负面部分的解决方案的影响之间进行区分。

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.

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