本文对图的星临界性及其与图的临界性之间的关系进行研究，给出了两类星临界但非临界的平面图。

In this paper, we investigate star color criticality of graphs and its relationship with color criticality by providing two types of planar graphs which are star color critical but not color critical.

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讨论了带非负扰动并具有第二类边值的临界非齐次多重调和方程的多解存在性和非存在性。

This paper deals with the existence and nonexistence of solutions for a critical semilinear polyharmonic equation with the second boundary and with a non-negative perturbation.

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讨论了带非负扰动的临界非齐次多重调和方程多解存在性和非存在性。

This paper deals with the existence and nonexistence of solutions for a critical semilinear polyharmonic equation with a non-negative perturbation.

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