非线性位势论中超调和函数和超抛物函数的局部逼近
Local approximation of superharmonic and superparabolic functions in nonlinear potential theory
摘要：
证明了与$p$ -Laplace方程和$p$ -抛物型方程相关的任意上调和函数和超抛物函数作为Riesz测度具有期望收敛性质的超解的极限是局部获得的.作为应用，我们证明了$p$ -抛物型方程的一族一致有界上解包含一个收敛于上解的子序列.
英文摘要：
We prove that arbitrary superharmonic functions and superparabolic functions related to the $p$-Laplace and the $p$-parabolic equations are locally obtained as limits of supersolutions with desired convergence properties of the corresponding Riesz measures. As an application we show that a family of uniformly bounded supersolutions to the $p$-parabolic equation contains a subsequence that converges to a supersolution.
机构、总结、中文摘要均由AI分析而来，可能存在错误，请以论文正文为准。
