论文标题
关于高阶差异不平等解决方案的可移动奇异性
On removable singularities of solutions of higher order differential inequalities
论文作者
论文摘要
我们获得了足够的条件，以解决$ m $ th级差异不平等的解决方案$$ \ sum_ {|α| = M} \ partial^αA_α（x，u） \ ge f（x）g（| u |） \ Quad \ mbox {in} b_1 \ setMinus \ {0 \} $ $在零处具有可移动的奇异性，其中$a_α$，$ f $和$ g $是某些功能，而$ b_1 = \ {x：x：| x：| x | | | x | <1 \} $是$ {\ mathbb r}^n $中的单位球。 构造的例子证明了这些条件的确切性。
We obtain sufficient conditions for solutions of the $m$th-order differential inequality $$ \sum_{|α| = m} \partial^αa_α(x, u) \ge f (x) g (|u|) \quad \mbox{in } B_1 \setminus \{ 0 \} $$ to have a removable singularity at zero, where $a_α$, $f$, and $g$ are some functions, and $B_1 = \{ x : |x| < 1 \}$ is a unit ball in ${\mathbb R}^n$. Constructed examples demonstrate the exactness of these conditions.
