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.
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.
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.
本文讨论一类变系数带临界指数的椭圆型方程，主要考虑上述问题的非平凡解的存在性，包括多解与非存在性。
In this paper, we study the existence of multiple nontrivial solutions for the variable coefficient elliptic equations with critical Sobolev exponents.
对等温过程中的临界时间公式进行了理论分析与实验验证，证实了临界时间公式用于预测溶质原子非平衡晶界偏聚量达到极大值的恒温时间的准确性。
Theory analysis and experiment had been done for confirming the veracity of the critical time formula used for forecasting the holding time at which the segregation concentration reaches a maximum.
得到了非线性系数以及特征长度和预倾角的关系，并且给出了强非局域性的非线性薛定谔方程，最终得到了单孤子和临界功率的解析解。
Then the Schrdinger-type nonlinear equation in strong nonlocality was given and from the equation the analytical expressions of the single soliton and the critical power .
非平衡临界和平衡临界一样具有标度性。
The critical phenomena in non-equilibrium systems has the scaling quality too, as same as the equilibrium critical.
运用改进的集中列紧原理证明了在某些指数条件下非奇对称的临界非线性项仍能保证无穷多弱解的存在性。
The problem involves non-odd symmetric critical nonlinearity. Existence of infinitely many solutions of this problem is obtained with improved Compactness- Concentration principle.
分析了多来多排的机理后认为：临界流速的非单值性是挟沙能力多值性的深层原因；
It deems after analyzing the mechanism of desilting as much as coming that non-uniqueness of critical velocity is the deep reason of multi-value of sediment carrying capacity and;
分析了多来多排的机理后认为：临界流速的非单值性是挟沙能力多值性的深层原因；
It deems after analyzing the mechanism of desilting as much as coming that non-uniqueness of critical velocity is the deep reason of multi-value of sediment carrying capacity and;
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