当前位置:
X-MOL 学术
›
Nonlinear Anal.
›
论文详情
Our official English website, www.x-mol.net, welcomes your
feedback! (Note: you will need to create a separate account there.)
On optimal C1,α estimates for p(x)-Laplace type equations
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-06-16 , DOI: 10.1016/j.na.2020.112030 Mengyao Ding , Chao Zhang , Shulin Zhou
中文翻译:
在最佳状态 估计 -拉普拉斯类型方程
更新日期:2020-06-16
Nonlinear Analysis ( IF 1.3 ) Pub Date : 2020-06-16 , DOI: 10.1016/j.na.2020.112030 Mengyao Ding , Chao Zhang , Shulin Zhou
In this paper, we investigate the optimal estimates for the elliptic -Laplace equation: with and . Based on a certain geometric oscillation estimate, the scaling arguments and appropriate localization technique as well as the careful analysis on the variable exponents, we exhibit how the optimal Hölder exponent of is influenced by , and . This work can be regarded as a natural follow up to the paper by Araújo and Zhang (in press).
中文翻译:
在最佳状态 估计 -拉普拉斯类型方程
在本文中,我们研究了最优 椭圆的估计 -拉普拉斯方程: 与 和 。基于一定的几何振荡估计,缩放参数和适当的定位技术以及对可变指数的仔细分析,我们展示了最优的Hölder指数如何 受...的影响 , 和 。可以将这项工作视为对Araújo和Zhang(印刷中)论文的自然跟进。