论文摘要
本文研究一维p-Laplace算子谱点的计数函数,Neumann边值条件下得到一个精确到第二项的Weyl型渐近式,它是Laplace算子在Dilrichlet边值条件下的推广。 全文共分三章。第一章介绍了本文问题的历史起源和背景,并给出了本文的主要结果。第二章介绍一般椭圆算子特征值的基本性质,同时还给出了闵可夫斯基维数和闵可夫斯基测度的定义和基本性质,以及特征值的具体计算过程。第三章集中本文主要结果的证明,得到了计数函数的精确的第二项估计。
论文目录
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