Carnot群中依赖于单调算子的方程的$H$-收敛
$H$-convergence for equations depending on monotone operators in Carnot groups
AI总结:
本文研究了Carnot群中单调算子序列Dirichlet问题解的$H$-收敛性,将Tartar等人的已知结果推广到了更一般的框架中。
摘要:
设$Ω$为Carnot群$\mathbb{G}$的开有界子集,且$2\leq p<\infty$。本文给出了关于单调算子序列的Dirichlet问题解的收敛性相关结果。旨在将Tartar、De Arcangelis-Serra Cassano及Baldi-Franchi-Tchou-Tesi的已知结果推广至更一般的框架中。
英文摘要:
Let $Ω$ be an open and bounded subset of a Carnot Group $\mathbb{G}$ and $2\leq p<\infty$. In this paper we present some results related to the convergence of solutions of Dirichlet problems for sequences of monotone operators. The aim of this paper is to give a generalization of well-known results of Tartar, De Arcangelis-Serra Cassano and Baldi-Franchi-Tchou-Tesi in more general frameworks.
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。