p-Laplacian的Poincare不等式与Neumann问题
偏微分方程分析
2017-08-15 v1
摘要
我们证明了加权Poincare不等式与退化p-Laplacian的Neumann问题弱解存在性之间的等价性。这些Poincare不等式是在由二次型定义的退化Sobolev空间框架下表述的，相关的矩阵是p-Laplacian中退化的来源。
引用
@article{arxiv.1708.03932,
title = {Poincare Inequalities and Neumann Problems for the p-Laplacian},
author = {David Cruz-Uribe and Scott Rodney and Emily Rosta},
journal= {arXiv preprint arXiv:1708.03932},
year = {2017}
}